Finiteness properties for subgroups of GL(n, Z)

We construct finitely presented subgroups of GL(n, ℤ) that have infinitely many conjugacy classes of finite subgroups. This answers a question of Grunewald and Platonov. We suggest a variation on their question.

Dades bibliogràfiques
Autor principal:	Bridson, M
Format:	Journal article
Idioma:	English
Publicat:	2000

Ítems similars

Minimal irreducible solvable subgroups of the group GL(q,{Z}_{p})
per: О. А. Кирилюк
Publicat: (2018-06-01)

On maximal finite irreducible subgroups of GL (n,Z) V The eight dimensional case and a complete description of dimensions less than ten [mikrofis]
per: 345332 Plesken, Wilhelm

A note on approximate subgroups of GL_n(C) and uniformly nonamenable groups
per: Breuillard, E, et al.
Publicat: (2011)

Finitely presented subgroups of automatic groups and their isoperimetric functions
per: Baumslag, G, et al.
Publicat: (1997)

The Drinfeld stratification for $${{\,\mathrm{GL}\,}}_n$$ GL n
per: Chan, Charlotte, et al.
Publicat: (2021)

gl $$ \mathfrak{gl} $$ N Higgsed networks
per: Yegor Zenkevich
Publicat: (2021-12-01)

Commensurations of Aut(F_N) and its Torelli subgroup
per: Bridson, M, et al.
Publicat: (2024)

On a maximal subgroup of the affine general linear group of GL(6, 2)
per: Ayoub B.M. Basheer, et al.
Publicat: (2021-12-01)

Binary subgroups of direct products
per: Bridson, M
Publicat: (2023)

On the Subgroups Lattice and Fuzzy Subgroups of Finite Groups U6n
per: L. Kamali Ardekani, et al.
Publicat: (2022-04-01)

Fractional isoperimetric inequalities and subgroup distortion
per: Bridson, M
Publicat: (1999)

Integrable crosscap states in gl $$ \mathfrak{gl} $$ (N) spin chains
per: Tamas Gombor
Publicat: (2022-10-01)

On the Largest intersecting set in ${\protect \rm GL}_2(q)$ and some of its subgroups
per: Ahanjideh, Milad
Publicat: (2022-05-01)

On co-maximal subgroup graph of $Z_n$
per: Manideepa Saha, et al.
Publicat: (2022-12-01)

REGULAR COMBINGS, NONPOSITIVE CURVATURE AND THE QUASICONVEXITY OF ABELIAN SUBGROUPS
per: Bridson, M
Publicat: (1993)

Polynomial representations of GL(n) - Introduction
per: Erdmann, K, et al.
Publicat: (2007)

Subgroup separability in residually free groups
per: Bridson, M, et al.
Publicat: (2007)

On the Subgroups of Right Angled Artin Groups and Mapping Class Groups
per: Bridson, M
Publicat: (2012)

Ladder representations of GL(n,ℚp)
per: Barbasch, D, et al.
Publicat: (2015)

Subgroups of direct products of elementarily free groups
per: Bridson, M, et al.
Publicat: (2005)

Recognition of subgroups of direct products of hyperbolic groups
per: Bridson, M, et al.
Publicat: (2004)

Subgroups of direct products of two limit groups
per: Bridson, M, et al.
Publicat: (2005)

Doubles, finiteness properties of groups, and quadratic isoperimetric inequalities
per: Bridson, M
Publicat: (1999)

Membership problem in GL(2, Z) extended by singular matrices
per: Potapov, I, et al.
Publicat: (2017)

Finiteness properties of the category of mod p representations of ${\textrm {GL}}_2 (\mathbb {Q}_{p})$
per: Vytautas Paškūnas, et al.
Publicat: (2021-01-01)

On gauging finite subgroups
per: Yuji Tachikawa
Publicat: (2020-01-01)

Weak commutativity and finiteness properties of groups
per: Bridson, M, et al.
Publicat: (2018)

Subgroups of direct products of two limit groups
per: Bridson, MR, et al.
Publicat: (2007)

Normalizer property of finite groups with almost simple subgroups
per: Jingjing Hai, et al.
Publicat: (2022-09-01)

The maximal subgroups of Sylow subgroups and the structure of finite groups
per: Changwen Li, et al.
Publicat: (2019-01-01)

The PBW Basis of Uq,q¯¯¯(gl¨n)
per: Neguț, Andrei
Publicat: (2022)

The GL(n,Fp)invariance of the Potts Hamiltonian
per: Mihai Caragiu, et al.
Publicat: (1997-01-01)

Representations of GL(n)(K) and symmetric groups
per: Erdmann, K
Publicat: (1997)

Structure and finiteness properties of subdirect products of groups
per: Bridson, M, et al.
Publicat: (2007)

Kodaira fibrations, Kähler groups, and finiteness properties
per: Bridson, M, et al.
Publicat: (2019)

Subgroups of direct products of limit groups
per: Bridson, M, et al.
Publicat: (2009)

The subgroups of direct products of surface groups
per: Bridson, M, et al.
Publicat: (2002)

Finite groups whose minimal subgroups are weakly H*-subgroups
per: Abdelrahman Abdelhamid Heliel, et al.
Publicat: (2014-09-01)

Maximal subgroups of finite groups
per: S. Srinivasan
Publicat: (1990-01-01)

Products of Finite Connected Subgroups
per: María Pilar Gállego, et al.
Publicat: (2020-09-01)