Results 11 to 20 of about 222 (54)
Linear groups with the maximal condition on subgroups of infinite central dimension [PDF]
, 2006 Let A a vector space over a field F and let H be a subgroup of GL(F, A). We define centdimF H to be dimF (A/CA (H)). We say that H has finite central dimension if centdimF H is finite and we say that H has infinite central dimension otherwise.
Kurdachenko, L. A., Subbotin, I. Ya.
core +2 more sources
Finite groups and Lie rings with an automorphism of order 2n [PDF]
, 2017 . Suppose that a finite group G admits an automorphism ϕ of order 2n such that the fixed-point subgroup CG (ϕ2n−1) of the involution ϕ2n−1 is nilpotent of class c. Let m = |CG (ϕ)| be the number of fixed points of ϕ.
Khukhro, E. I. +2 more
core +1 more source
Centralizers and Fixed Points of Automorphisms in Finite and Locally Finite Groups [PDF]
, 2020 This Habilitation thesis is a collection of former research of K. Ersoy. In Chapter 1, Introduction, an outline of his research program in general is given.
Ersoy, Kıvanç
core +1 more source
On the 100th birthday of Sergei Nikolaevich Chernikov [PDF]
, 2013 Chernikov's brief biography and information on the International Conference "Algebra and Linear Optimization" (Yekaterinburg, May 14-19, 2012) dedicated to his 100th birthday are presented.
Eremin, I. I., Makhnev, A. A.
core +1 more source
Groups with normality conditions for subgroups of infinite rank [PDF]
, 2014 A well-known theorem of B. H. Neumann states that a group has finite conjugacy classes of subgroups if and only if it is central-by-finite. It is proved here that if G is a generalized radical group of infinite rank in which the conjugacy classes of ...
De Falco, Maria +2 more
core +2 more sources
Profinite groups with NIP theory and p-adic analytic groups [PDF]
, 2016 We consider profinite groups as 2‐sorted first‐order structures, with a group sort, and a second sort that acts as an index set for a uniformly definable basis of neighbourhoods of the identity.
Aschenbrenner +6 more
core +2 more sources
A note on the invariance in the nonabelian tensor product
, 2013 In the nonabelian tensor product $G\otimes H$ of two groups $G$ and $H$ many properties pass from $G$ and $H$ to $G\otimes H$. There is a wide literature for different properties involved in this passage.
Corrado Tanasi +2 more
core +1 more source
On Groups whose Contranormal Subgroups are Normally Complemented [PDF]
, 2011 2000 Mathematics Subject Classification: 20F16, 20E15.Groups in which every contranormal subgroup is normally complemented has been considered. The description of such groups G with the condition Max-n and such groups having an abelian nilpotent residual
Kurdachenko, L. A., Subbotin, I. Ya.
core
Model theory of finite and pseudofinite groups
, 2018 This is a survey, intended both for group theorists and model theorists, concerning the structure of pseudofinite groups, that is, infinite models of the first-order theory of finite groups.
A Baudisch +67 more
core +1 more source
External definability and groups in NIP theories
, 2014 We prove that many properties and invariants of definable groups in NIP theories, such as definable amenability, G/G^{00}, etc., are preserved when passing to the theory of the Shelah expansion by externally definable sets, M^{ext}, of a model M.
Chernikov, Artem +2 more
core +2 more sources