Results 1 to 10 of about 31 (31)
Class-preserving Coleman automorphisms of some classes of finite groups
Open Mathematics, 2022 The normalizer problem of integral group rings has been studied extensively in recent years due to its connection with the longstanding isomorphism problem of integral group rings.
Hai Jingjing, Li Zhengxing, Ling Xian
doaj +1 more source
Calculating the virtual cohomological dimension of the automorphism group of a RAAG
Bulletin of the London Mathematical Society, Volume 53, Issue 1, Page 259-273, February 2021., 2021 Abstract We describe an algorithm to find the virtual cohomological dimension of the automorphism group of a right‐angled Artin group. The algorithm works in the relative setting; in particular, it also applies to untwisted automorphism groups and basis‐conjugating automorphism groups.
Matthew B. Day +2 more
wiley +1 more source
Homotopy type of the complex of free factors of a free group
Proceedings of the London Mathematical Society, Volume 121, Issue 6, Page 1737-1765, December 2020., 2020 Abstract We show that the complex of free factors of a free group of rank n⩾2 is homotopy equivalent to a wedge of spheres of dimension n−2. We also prove that for n⩾2, the complement of (unreduced) Outer space in the free splitting complex is homotopy equivalent to the complex of free factor systems and moreover is (n−2)‐connected.
Benjamin Brück, Radhika Gupta
wiley +1 more source
Desarrollo de habilidades metacognitivas a través de un ambiente de aprendizaje web colaborativo. [PDF]
, 2018 Este documento presenta un informe sobre el desarrollo de la tesis de grado titulada “desarrollo de habilidades metacognitivas a través de un ambiente de aprendizaje web colaborativo”, durante el recorrido por este documento el lector encontrara las ...
Pérez Valdés, Gineth Paola
core +1 more source
Centralizers of automorphisms permuting free generators
Open Mathematics, 2019 By σ ∈ Skm we denote a permutation of the cycle-type km and also the induced automorphism permuting subscripts of free generators in the free group Fkm.
Macedońska Olga, Tomaszewski Witold
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On minimal artinian modules and minimal artinian linear groups
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 12, Page 707-714, 2001., 2001 The paper is devoted to the study of some important types of minimal artinian linear groups. The authors prove that in such classes of groups as hypercentral groups (so also, nilpotent and abelian groups) and FC‐groups, minimal artinian linear groups have precisely the same structure as the corresponding irreducible linear groups.
Leonid A. Kurdachenko, Igor Ya. Subbotin
wiley +1 more source
Limit pretrees for free group automorphisms: existence
Forum of Mathematics, SigmaTo any free group automorphism, we associate a real pretree with several nice properties. First, it has a rigid/non-nesting action of the free group with trivial arc stabilizers.
Jean Pierre Mutanguha
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Limit trees for free group automorphisms: universality
Forum of Mathematics, SigmaTo any free group automorphism, we associate a universal (cone of) limit tree(s) with three defining properties: first, the tree has a minimal isometric action of the free group with trivial arc stabilizers; second, there is a unique expanding dilation ...
Jean Pierre Mutanguha
doaj +1 more source
The conjugacy problem for $\operatorname {Out}(F_3)$
Forum of Mathematics, SigmaWe present a solution to the conjugacy problem in the group of outer automorphisms of $F_3$ , a free group of rank 3. We distinguish according to several computable invariants, such as irreducibility, subgroups of polynomial growth and subgroups ...
François Dahmani +3 more
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Almost fixed-point-free automorphisms of prime order
Open Mathematics, 2011 Wehrfritz Bertram
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