Marion, Claude; Silva, Pedro V.; Tracey, Gareth The pro-\(k\)-solvable topology on a free group. (English) Zbl 1540.20049 J. Aust. Math. Soc. 116, No. 3, 363-383 (2024). Reviewer: Egle Bettio (Venezia) MSC: 20E05 20E10 20F10 20F22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Marion, Claude; Silva, Pedro V.; Tracey, Gareth The pro-supersolvable topology on a free group: deciding denseness. (English) Zbl 1535.20129 J. Algebra 646, 183-204 (2024). Reviewer: Egle Bettio (Venezia) MSC: 20E05 20E10 20F10 20F16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Ballester-Bolinches, A.; Pérez-Calabuig, V. Abelian kernels, profinite topologies and the extension problem. (English) Zbl 1521.20135 Ric. Mat. 72, No. 1, 91-106 (2023). MSC: 20M18 20M07 20M10 20M17 × Cite Format Result Cite Review PDF Full Text: DOI
Aguiar, Mattheus P. S.; Zalesskii, Pavel A. The profinite completion of the fundamental group of infinite graphs of groups. (English) Zbl 1511.20096 Isr. J. Math. 250, No. 1, 429-462 (2022). Reviewer: Egle Bettio (Venezia) MSC: 20E18 20E08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goulet-Ouellet, Herman Freeness of Schützenberger groups of primitive substitutions. (English) Zbl 1529.20044 Int. J. Algebra Comput. 32, No. 6, 1101-1123 (2022). MSC: 20E18 37B10 20E05 20M05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Steinberg, Benjamin Pointlike sets and separation: a personal perspective. (English) Zbl 07498713 Moreira, Nelma (ed.) et al., Developments in language theory. 25th international conference, DLT 2021, Porto, Portugal, August 16–20, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12811, 27-40 (2021). MSC: 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI
Almeida, Jorge; Costa, Alfredo Profinite topologies. (English) Zbl 1511.68176 Pin, Jean-Éric (ed.), Handbook of automata theory. Volume I. Theoretical foundations. Berlin: European Mathematical Society (EMS). 615-652 (2021). Reviewer: Jaak Henno (Tallinn) MSC: 68Q70 08A70 20M35 54H13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alibabaei, Khadijeh The pseudovariety of all nilpotent groups is tame. (English) Zbl 1468.20097 Int. J. Algebra Comput. 29, No. 6, 1019-1034 (2019). MSC: 20M07 20E18 20M05 20F10 20K01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Almeida, J.; Shahzamanian, M. H.; Steinberg, B. The pro-nilpotent group topology on a free group. (English) Zbl 1472.20124 J. Algebra 480, 332-345 (2017). MSC: 20M07 20E05 20E18 20M35 20F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ribes, Luis; Zalesskii, Pavel A. Conjugacy distinguished subgroups. (English) Zbl 1345.20036 J. Group Theory 19, No. 3, 477-495 (2016). Reviewer: Andrea Caranti (Trento) MSC: 20E26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shusterman, Mark Free subgroups of finitely generated free profinite groups. (English) Zbl 1403.20040 J. Lond. Math. Soc., II. Ser. 93, No. 2, 361-378 (2016). MSC: 20E18 12E25 20E05 20F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cordeiro, Edite; Delgado, Manuel Computing relative Abelian kernels of finite monoids. (English) Zbl 1109.20051 J. Algebra 303, No. 2, 642-654 (2006). Reviewer: Jorge Almeida (Porto) MSC: 20M07 20M05 20M35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Auinger, Karl; Steinberg, Benjamin Varieties of finite supersolvable groups with the M. Hall property. (English) Zbl 1117.20024 Math. Ann. 335, No. 4, 853-877 (2006). Reviewer: Peter R. Jones (Milwaukee) MSC: 20E18 20M07 20E10 20E07 20M05 20D10 × Cite Format Result Cite Review PDF Full Text: DOI
Cordeiro, E.; Delgado, M.; Fernandes, V. H. Relative Abelian kernels of some classes of transformation monoids. (English) Zbl 1104.20053 Bull. Aust. Math. Soc. 73, No. 3, 375-404 (2006). Reviewer: Peter M. Higgins (Colchester) MSC: 20M07 20M05 20M20 20K40 × Cite Format Result Cite Review PDF Full Text: DOI
Auinger, K.; Steinberg, B. A constructive version of the Ribes-Zalesskiĭ product theorem. (English) Zbl 1074.20022 Math. Z. 250, No. 2, 287-297 (2005). Reviewer: Pavel Zalesskij (Brasília) MSC: 20E18 20E05 20E10 20E07 20E36 × Cite Format Result Cite Review PDF Full Text: DOI
Ribes, Luis; Zalesskii, Pavel Profinite topologies in free products of groups. (English) Zbl 1076.20019 Int. J. Algebra Comput. 14, No. 5-6, 751-772 (2004). Reviewer: Andrea Lucchini (Brescia) MSC: 20E18 20E06 20E08 20E26 × Cite Format Result Cite Review PDF Full Text: DOI
Khelif, Anatole Finite approximation and commutators in free groups. (English) Zbl 1070.20029 J. Algebra 281, No. 2, 407-412 (2004). Reviewer: V. A. Roman’kov (Omsk) MSC: 20E05 20F12 20F10 20E18 × Cite Format Result Cite Review PDF Full Text: DOI
Auinger, K.; Steinberg, B. The geometry of profinite graphs with applications to free groups and finite monoids. (English) Zbl 1033.20028 Trans. Am. Math. Soc. 356, No. 2, 805-851 (2004). Reviewer: Pavel Zalesskij (Brasilia) MSC: 20E18 20E05 20M07 20E10 20E08 20M18 05C25 08C15 × Cite Format Result Cite Review PDF Full Text: DOI
Delgado, Manuel; Margolis, Stuart; Steinberg, Benjamin Combinatorial group theory, inverse monoids, automata, and global semigroup theory. (English) Zbl 1023.20021 Int. J. Algebra Comput. 12, No. 1-2, 179-211 (2002). MSC: 20F65 05C25 20M35 68Q70 20M18 20F10 20M07 20F05 × Cite Format Result Cite Review PDF Full Text: DOI
Weil, Pascal Profinite methods in semigroup theory. (English) Zbl 1083.20510 Int. J. Algebra Comput. 12, No. 1-2, 137-178 (2002). MSC: 20M07 20E18 20M05 20M35 68Q70 × Cite Format Result Cite Review PDF Full Text: DOI
Steinberg, Benjamin Inverse automata and profinite topologies on a free group. (English) Zbl 0999.20016 J. Pure Appl. Algebra 167, No. 2-3, 341-359 (2002). Reviewer: Pavel Zalesskij (Brasilia) MSC: 20E05 20E18 20M18 20M35 20E10 20M10 × Cite Format Result Cite Review PDF Full Text: DOI
Almeida, Jorge Dynamics of implicit operations and tameness of pseudovarieties of groups. (English) Zbl 0988.20014 Trans. Am. Math. Soc. 354, No. 1, 387-411 (2002). Reviewer: Pavel Zalesskij (Brasilia) MSC: 20E10 20M05 20E18 20M07 20F10 20E07 20E05 × Cite Format Result Cite Review PDF Full Text: DOI
Delgado, Manuel On the hyperdecidability of pseudovarieties of groups. (English) Zbl 1026.20039 Int. J. Algebra Comput. 11, No. 6, 753-771 (2001). MSC: 20M07 20E10 20M35 20E18 68Q70 × Cite Format Result Cite Review PDF Full Text: DOI
Rhodes, John; Steinberg, Benjamin Profinite semigroups, varieties, expansions and the structure of relatively free profinite semigroups. (English) Zbl 1026.20057 Int. J. Algebra Comput. 11, No. 6, 627-672 (2001). MSC: 20M35 20M07 20E18 20M05 × Cite Format Result Cite Review PDF Full Text: DOI
Margolis, S.; Sapir, M.; Weil, P. Closed subgroups in pro-\(\mathbf V\) topologies and the extension problem for inverse automata. (English) Zbl 1027.20036 Int. J. Algebra Comput. 11, No. 4, 405-445 (2001). MSC: 20M07 20M35 20M05 68Q70 20E18 × Cite Format Result Cite Review PDF Full Text: DOI
Steinberg, Benjamin Inevitable graphs and profinite topologies: Some solutions to algorithmic problems in monoid and automata theory, stemming from group theory. (English) Zbl 1024.68064 Int. J. Algebra Comput. 11, No. 1, 25-71 (2001). MSC: 68Q45 20E10 68W05 × Cite Format Result Cite Review PDF Full Text: DOI
Steinberg, Benjamin Finite state automata: a geometric approach. (English) Zbl 0980.20067 Trans. Am. Math. Soc. 353, No. 9, 3409-3464 (2001). Reviewer: Mikhail Volkov (Ekaterinburg) MSC: 20M35 20F10 20E05 20E10 20M07 20M05 68Q70 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI
Steinberg, Benjamin Polynomial closure and topology. (English) Zbl 1010.20045 Int. J. Algebra Comput. 10, No. 5, 603-624 (2000). MSC: 20M07 20M35 20E18 68Q70 06F05 × Cite Format Result Cite Review PDF Full Text: DOI
Almeida, Jorge On hyperdecidable pseudovarieties of simple semigroups. (English) Zbl 1010.20042 Int. J. Algebra Comput. 10, No. 2, 261-284 (2000). MSC: 20M07 20M35 20M05 × Cite Format Result Cite Review PDF Full Text: DOI
Steinberg, Benjamin Fundamental groups, inverse Schützenberger automata, and monoid presentations. (English) Zbl 0982.20052 Commun. Algebra 28, No. 11, 5235-5253 (2000). Reviewer: Jaak Henno (Tallinn) MSC: 20M18 20M05 20M35 20M10 × Cite Format Result Cite Review PDF Full Text: DOI
Steinberg, Benjamin Monoid kernels and profinite topologies on the free Abelian group. (English) Zbl 0946.20041 Bull. Aust. Math. Soc. 60, No. 3, 391-402 (1999). Reviewer: Jorge Almeida (Porto) MSC: 20M35 20M07 20K45 20E18 20E10 20K15 20F10 08B15 × Cite Format Result Cite Review PDF Full Text: DOI
Steinberg, Benjamin On pointlike sets and joins of pseudovarieties. (English) Zbl 0942.20041 Int. J. Algebra Comput. 8, No. 2, 203-231, addendum 233-234 (1998). MSC: 20M07 08B15 20M35 × Cite Format Result Cite Review PDF Full Text: DOI
Almeida, J.; Weil, P. Profinite categories and semidirect products. (English) Zbl 0891.20037 J. Pure Appl. Algebra 123, No. 1-3, 1-50 (1998). Reviewer: P.M.Higgins (Colchester) MSC: 20M07 20M50 08C15 08B15 × Cite Format Result Cite Review PDF Full Text: DOI
Pin, Jean-Eric Polynomial closure of group languages and open sets of the Hall topology. (English) Zbl 0877.68076 Theor. Comput. Sci. 169, No. 2, 185-200 (1996). MSC: 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI