Explicit bounds for fixed subgroups of endomorphisms of free products
J Lei, Q Zhang - Journal of Algebra, 2023 - Elsevier
For an automorphism ϕ of a free group F n of rank n, Bestvina and Handel showed that the
rank rk (Fix (ϕ)) of the fixed subgroup is not greater than n. Soon after Bestvina and Handel's …
rank rk (Fix (ϕ)) of the fixed subgroup is not greater than n. Soon after Bestvina and Handel's …
[PDF][PDF] Constructing stable images
JP Mutanguha - preprint, available at https://mutanguha. com/pdfs …, 2022 - mutanguha.com
There is an algorithm for constructing a canonical representative for an injective free group
endomorphism. The main corollary to our algorithm is an affirmative answer to Ventura's …
endomorphism. The main corollary to our algorithm is an affirmative answer to Ventura's …
Post's Correspondence Problem for hyperbolic and virtually nilpotent groups
Abstract Post's Correspondence Problem (the PCP) is a classical decision problem in
theoretical computer science that asks whether for pairs of free monoid morphisms g, h …
theoretical computer science that asks whether for pairs of free monoid morphisms g, h …
Variations on the Post correspondence problem for free groups
Abstract The Post Correspondence Problem is a classical decision problem about
equalisers of free monoid homomorphisms. We prove connections between several …
equalisers of free monoid homomorphisms. We prove connections between several …
Conjugacy problem in virtual right-angled Artin groups
G Crowe - arXiv preprint arXiv:2412.10293, 2024 - arxiv.org
In this paper we solve the conjugacy problem for several classes of virtual right-angled Artin
groups, using algebraic and geometric techniques. We show that virtual RAAGs of the form …
groups, using algebraic and geometric techniques. We show that virtual RAAGs of the form …
A note on the finitely generated fixed subgroup property
J Lei, J Ma, Q Zhang - arXiv preprint arXiv:2405.12824, 2024 - arxiv.org
arXiv:2405.12824v1 [math.GR] 21 May 2024 Page 1 arXiv:2405.12824v1 [math.GR] 21 May
2024 A NOTE ON THE FINITELY GENERATED FIXED SUBGROUP PROPERTY JIALIN LEI …
2024 A NOTE ON THE FINITELY GENERATED FIXED SUBGROUP PROPERTY JIALIN LEI …
The equalizer conjecture for the free group of rank two
AD Logan - The Quarterly Journal of Mathematics, 2022 - academic.oup.com
The equalizer of a set of homomorphisms has rank at most two if S contains an injective map
and is not finitely generated otherwise. This proves a strong form of Stallings' Equalizer …
and is not finitely generated otherwise. This proves a strong form of Stallings' Equalizer …
Post's Correspondence Problem: From Computer Science to Algebra
L Ciobanu - International Conference on Reachability Problems, 2022 - Springer
In this short survey we describe recent advances on the Post Correspondence Problem in
group theory that were inspired by results in computer science. These algebraic advances …
group theory that were inspired by results in computer science. These algebraic advances …
Classification of aut-fixed subgroups in free-abelian times surface groups
J Lei, P Wang, Q Zhang - arXiv preprint arXiv:2309.13540, 2023 - arxiv.org
arXiv:2309.13540v1 [math.GR] 24 Sep 2023 Page 1 arXiv:2309.13540v1 [math.GR] 24 Sep
2023 CLASSIFICATION OF AUT-FIXED SUBGROUPS IN FREE-ABELIAN TIMES SURFACE …
2023 CLASSIFICATION OF AUT-FIXED SUBGROUPS IN FREE-ABELIAN TIMES SURFACE …