Enric Ventura

Publications (updated 8/2024)

Visiting MathSciNet you will find the updated list of publications already appeared, with the corresponding reviews. Also, here there is a list of some citations to my articles.

Click on the reference number for the abstracts, the papers in pdf, and other available material.

• Work in progress:
• (80): D. Ascari, I. Chércoles, J. Delgado, E. Ventura, "Equations over Droms groups".
• (79): M. Valiunas, E. Ventura, "Intersection configurations for certain Baumslag-Solitar groups".
• (78): F. Russo, E. Ventura, "On the relative commutativity degree of finitely generated groups".
• (77): G. Bastardas, E. Ventura, "Finding equations in PSL_2(Z)".
• (74): O. Bogopolski, A. Carvalho, E. Ventura, "Quantifying the BNS-invariant".
• (73): J. Delgado, E. Ventura, A. Zakharov, "Algorithmic problems for Droms groups".
• (72):  M. Alsina, E. Ventura, "Degree of satisfiability of first-order formulas in infinite groups".
• (71):  O. Mitra, M. Roy, E. Ventura, "On the twisted conjugacy problem for Baumslag-Solitar groups".
• (70):  J. Delgado, E. Ventura, "On non finitely generated subgroups of a free group".
• (66): J. Galobart, E. Ventura: "The lattice of subgroups of a Droms group".
• (65): A. Miranda, E. Ventura: "Free groups have exponential generalized inversion gap".
• (61): J. Delgado, E. Ventura, "Stallings graphs for $G$-by-free groups".
• (56): A. Martino, E. Ventura, P. Wong, "$R_{\\infty}$ property for direct products of hyperbolic groups".
• (44): J. Rubió, E. Ventura, "Variations on Whitehead's problem".
• (36): E. Ventura, "Computing algebraic closures in polynomial time".
• Preprints:
  • (67): J. Delgado, M. Roy, E. Ventura, "Quotient-saturated groups".
  • (75):  M. Roy, E. Ventura: "Computation of endo-fixed closures in free-abelian times free groups".
  • (68): E Ventura, "The multiple endo-twisted conjugacy problem is solvable in finitely generated free groups".
  • (39): J.M. Fuertes, B. Balle, E. Ventura, "Single-tracked shaft encoders with LFSR sequences of low combinatorial complexity" (not published).
  • (31): L. Ciobanu, A. Martino, E. Ventura, "The generic Hanna Neuman Conjecture and the Post Correspondence Problem" (not published).
  • (30.5): V. Romankov, E. Ventura, "The twisted conjugacy problem for pairs of endomorphisms in nilpotent groups" (no publicat).
  • (23): A. Martino, T. Turner, E. Ventura, "The density of injective endomorphisms of a free group" (not published).
• Publications to appear:
  • (76): J. Delgado, E. Ventura, "Stallings Automata", chapter of a book from the GAGTA collection.
• Research publications:
  • (57): A. Rosenmann, E. Ventura: "Dependence over subgroups of free groups", Intenational Journal of Algebra and Computation 34(4), (2024), 439--470.
  • (69):  M. Roy, E. Ventura, P. Weil, "The central tree property and algorithmic problems on subgroups of free groups", Journal of Group Theory, 2024. https://doi.org/10.1515/jgth-2023-0050 .
  • (62): J. Delgado, M. Roy, E. Ventura, "Intersection configurations in free times free-abelian groups", Proceedings of the Royal Society of Edinburgh: Section A Mathematics. Published online 2023: 1-31. doi: 10.1017/prm.2023.79.
  • (58): J. Delgado, E. Ventura, A. Zakharov, "Relative order and spectrum in free and related groups", Communications in Contemporary Mathematics 26(1) 2250066 (2024).
  • (64): J. Delgado, E. Ventura, "Autňmats de Stallings, un camí d'anada i tornada" (in catalan), Butlletí Societat Catalana de Matemŕtiques 37(1) (2022), 5--59.
  • (53):  J. Delgado, E. Ventura, "A list of applications of Stallings automata", Transactions on Combinatorics 11(3) (2022), 181--235.
  • (51): J. Delgado, E. Ventura, "Stallings automata for free-times-abelian groups: intersections and index", Publ. Mat. 66 (2022), 789--830.
  • (54): A. Martino, M. Tointon, M. Valiunas, E. Ventura, "Probabilistic nilpotence in infinite groups", Israel Journal of Mathematics, 244 (2021), 539–588.
  • (63): S. Mijares, E. Ventura: "Onto extensions of free groups", Journal of Groups, Complexity, Cryptology 13(1), (2021), 2:1--2:15.
  • (60): M. Roy, E. Ventura: "Degrees of compression and inertia for free-abelian times free groups", Journal of Algebra 568 (2021), 241--272.
  • (59): M. Roy, E. Ventura: "Fixed subgroups and computation of auto-fixed closures in free-abelian times free groups", Journal of Pure and Applied Algebra 224 (2020), 106210.
  • (55): J. Wu, E. Ventura, Q. Zhang, "Fixed subgroups in direct products of surface groups of Euclidean type", Communications in Algebra 48(7) (2020), 3003--3010.
  • (52): J. Delgado, E. Ventura, A. Zakharov, "Intersection problem for Droms RAAGs", Intenational Journal of Algebra and Computation 28 (2018), 1129--1162.
  • (49): B. Cavallo, J. Delgado, D. Kahrobaei, E. Ventura, "Algorithmic recognition of infinite cyclic extensions", to appear at Journal of Pure and Applied Algebra 221 (2017), 2157--2179.
  • (46): Y. Antolín, A. Martino, E. Ventura, "Degree of commutativity of infinite groups", Proceedings of the Amer. Math. Soc. 145(2) (2017), 479-485.
  • (43): "Algorithms and geometric topics around automorphisms of free groups" at the series "Advanced Courses in Mathematics - CRM-Barcelona", edited by J. González-Meneses, M. Lustig, E. Ventura (2017); ISBN: 978-3-319-60940-9.
  • (32): J. Burillo, F. Matucci, E. Ventura. "The conjugacy problem in extensions of Thomspson's group $F$", Israel Journal of Mathematics 216(1) (2016), 15-59.
  • (25): M. Ladra, P. Silva, E. Ventura, "Bounding the gap between a free group (outer) automorphism and its inverse", Collectanea Mathematica, 67(3) (2016), 329-346.
  • (42): P. Silva, X. Soler-Escrivŕ, E. Ventura: "Finite automata for Schreier graphs of virtually free groups ", Journal of Group Theory 19 (2016), 25–54.
  • (50): Q. Zhang, E. Ventura, J. Wu, "Fixed subgroups are compressed in surface groups", International Journal of Algebra and Computation 25 (5) (2015), 865-887.
  • (48): E. Ventura: "Group theoretic orbit decidability", Goups Complexity Cryptology  6 (2) (2014), 133–148.
  • (47): Extended Abstracts Fall 2012, Automorphisms of free groups, Research Perspectives CRM Barcelona (Trends in Mathematics) 1, (2014),  edited by J. González-Meneses, M. Lustig, E. Ventura, Birkhauser (2014), 96 pags, ISBN: 978-3-319-05487-2.
  • (33): E. Ventura, "Orbit decidability, applications and variations", J. González-Meneses et al. (eds.), Extended Abstracts Fall 2012, Research Perspectives CRM Barcelona (Trends in Mathematics) 1, (2014) 91-95.
  • (28): J. González-Meneses, E. Ventura, "Twisted conjugacy in the braid group", Israel Journal of Mathematics, 201 (2014), 455-476.
  • (45): J. Delgado, E. Ventura, "Algorithmic problems for free-abelian times free groups", Journal of Algebra 391 (2013) 256–283.
  • (29):. F. Bassino, A. Martino, C. Nicaud, E. Ventura, P. Weil, "Statistical properties of subgroups of free groups", Random Structures and Algorithms 42, (2013), 349–373, doi: 10.1002/rsa.20407.
  • (41): O. Kharlampovich, E. Ventura, "A Whitehad algorithm for toral relatively hyperbolic groups", International Journal of Algebra and Computation, 22 (8), (2012), 1240004, 9 pages.
  • (37): Z. Sunic, E. Ventura, "The conjugacy problem in automaton groups is not solvable", Journal of Algebra. 364 (2012), 148–154.
  • (21): O. Bogopolski, E. Ventura, "On endomorphisms of torsion-free hyperbolic groups", International Journal of Algebra and Computation, 21 (8) (2011), 1415-1446.
  • (40): E. Ventura, "Computing fixed closures in free groups", Illinois Journal of Mathematics 54 (1), (2011), 175-186.
  • (26): O. Bogopolski, E. Ventura, "A recursive presentation for Mihailova's subgroup", Groups, Geometry, and Dynamics, 4(3), (2010), 407-417.    
  • (38): Geometric Group Theory, Dortmund and Carleton Conferences, Trends in Mathematics, edited by O. Bogopolski, I. Bumagin, O. Kharlampovich and E. Ventura, Birkhäuser (2010), 315 pages, ISBN: 978-3-7643-9910-8.
  • (24): D. Lee, E. Ventura, "Volume equivalence of subgroups of free groups", Journal of Algebra 324(2) (2010) 195–217.
  • (20): O. Bogopolski, A. Martino, E. Ventura, "Orbit decidability and the conjugacy problem for some extensions of groups", Transactions of the American Mathematical Society 362 (2010), 2003--2036.
  • (30): V. Romanko'v, E. Ventura, "Twisted conjugacy problem for endomorphisms of metabelian groups", Algebra and Logic 48(2) (2009), 89--98. Translation from Algebra i Logika 48(2) (2009), 157--173.
  • (17): O. Bogopolski, E. Ventura, "The mean Dehn functions of abelian groups", Journal of Group Theory, 11(4) (2008), 569--586.
  • (14): J.M. Fuertes, B. Balle, E. Ventura, "Absolute type shaft encoding using LFSR sequences with prescribed length", IEEE Transactions on Instrumentation and Measurement, 57(5) (2008), 915--922.
  • (22): A. Roig, E. Ventura, P. Weil, "On the complexity of the Whitehead minimization problem", International Journal of Algebra and Computation, 17(8)  (2007), 1611--1634.
  • (18): Geometric Group Theory, Geneva and Barcelona Conferences, Trends in Mathematics, edited by G.N. Arzhantseva, L. Bartholdi, J. Burillo and E. Ventura, Birkhäuser (2007), 253 pages, ISBN: 978-3-7643-8411-1. 
  • (19): O. Bogopolski, A. Martino, E. Ventura, "The automorphism group of a free-by-cyclic group in rank 2", Communications in Algebra, 35 (5) (2007), 1675--1690.
  • (13): O. Bogopolski, A. Martino, O. Maslakova, E. Ventura, "The conjugacy problem is solvable in free-by-cyclic groups", Bulletin of the London Mathematical Society, 38 (5) (2006), 787--794. 
  • (16): Geometric methods in group theory. Papers from the AMS Special Sessions on Geometric Group Theory held in Boston (USA), October 5--6, 2002 and in Seville (Spain) June 18-.21, 2003 (joint with RSME). Edited by José Burillo, Sean Cleary, Murray Elder, Jennifer Taback and Enric Ventura. Contemporary Mathematics 372 American Mathematical Society, Providence, RI, 2005. vii+230 pp. ISBN: 0-8218-3362-6. 
  • (11): G.N. Arzhantseva, J. Burillo, M. Lustig, L. Reeves, H. Short, E. Ventura, "Uniform non-amenability", Advances in Math., 197 (2) (2005), 499--522.
  • (12): A. Martino, E. Ventura, "Fixed subgroups are compressed in free groups", Comm. in Algebra 32(10) (2004), 3921--3935.
  • (10): A. Martino, E. Ventura, "A description of auto-fixed subgroups in a free group", Topology 43 (2004), 1133--1164.
  • (9): A. Martino, E. Ventura, "Examples of retracts in free groups that are not the fixed subgroup of any automorphism", Journal of Algebra, 269 (2003), 735--747.
  • (8): E. Ventura, "Fixed subgroups in free groups: a survey", Contemporary Math 296 (2002), 231--255.
  • (7) : J. Burillo, E. Ventura, "Counting primitive elements in free groups", Geom. Dedicata 93 (2002), 143--162; Electronic Notes in Discrete Mathematics 10 (2001) 50--53.
  • (6): A. Martino, E. Ventura, "On automorphism-fixed subgroups of a free group", Journal of Algebra 230 (2000), 596--607.
  • (5): E. Ventura, "On fixed subgroups of maximal rank", Comm. in Algebra 25 (10) (1997), 3361--3375.
  • (4): W. Dicks, E. Ventura, "Irreducible automorphisms of growth rate one", J. Pure and Appl. Algebra 88 (1993), 51--62.
• Research books:
  • (3): W. Dicks, E. Ventura, "The group fixed by a family of injective endomorphisms of a free group", Contemporary Math. 195 (1996), (81 pŕgs.). ISBN: 0-8218-0564-9.
• Proceedings:
  • (34): F. Bassino, A. Martino, C. Nicaud, E. Ventura, P. Weil,"On two distributions of subgroups of free groups", Proceedings of ANALCO-10, Workshop on Analytic Algorithmics and Combinatorics, Austin, Texas (January 2010), pages 82-89. Electronic publication.
  • (35): J.M. Fuertes, B. Balle, E. Ventura, "An algorithm to design prescribed length codes for single-tracked shaft encoders", Proceedings of the 2009 IEEE International Conference on Mechatronics, Málaga, Spain (April 2009).
  • (27): E. Ventura, "Deciding endo-fixedness", VI Jornadas de Matemática Discreta y Algorítmica, Edicions UdL (2008), 559--568; ISBN: 978-84-8409-263-6.
  • (15): A. Miasnikov, E. Ventura, P. Weil, "Algebraic extensions in free groups", Algebra and Geometry in Geneva and Barcelona, Trends in Mathematics, Birkhaüser (2007), 225--253.
  • (2): E. Ventura, "Dynamic structure of matrices over finite fields" , EAMA-97 (1997), 413--420.
  • (1): R. Miralles, P. Rubió, E. Ventura, "Factorial rings and diagonal reduction of matrices", EAMA-97 (1997), 334--341.

© Enric Ventura Capell, 1999

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