Results 31 to 40 of about 3,682,623 (208)
Countably recognizable classes of groups with restricted conjugacy classes [PDF]
A group class ${ X}$ is said to be countably recognizable if a group belongs to ${X}$ whenever all its countable subgroups lie in ${X}$. It is proved here that most of the relevant classes of groups defined by restrictions on the conjugacy classes are ...
Francesco de Giovanni, Marco Trombetti
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Conjugacy classes in algebraic monoids [PDF]
Let M M be a connected linear algebraic monoid with zero and a reductive group of units G G . The following theorem is established. Theorem. There exist affine subsets M 1 , … , M k
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On the topological conjugacy of two-dimensional homogeneous inner mappings
For a class of branched coverings of the two-dimensional sphere the criterion of the topological conjugacy is given and some properties are listed.
Игорь Юрьевич Власенко
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On functional moduli of surface flows
Currently, an complete topological classification has been obtained with respect to the topological equivalence of Morse-Smale flows, [9, 7], as well as their generalizations of Ω-stable flows on closed surfaces, [4].
Vladislav Kruglov +2 more
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Generic Homeomorphisms with Shadowing of One-Dimensional Continua
In this article, we show that there are homeomorphisms of plane continua whose conjugacy class is residual and have the shadowing property.
Alfonso Artigue, Gonzalo Cousillas
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Complete parts and subhypergroups in reversible regular hypergroups
In this paper we analyse the center and centralizer of an element in the context of reversible regular hypergroups, in order to obtain the class equation in regular reversible hypergroups, by using complete parts.
Leoreanu-Fotea V. +3 more
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Conjugacy class conditions in locally compact second countable groups [PDF]
Many non-locally compact second countable groups admit a comeagre conjugacy class. For example, this is the case for the automorphism group of the rational order and the automorphism group of the random graph [Truss]. A. Kechris and C.
Phillip R. Wesolek
semanticscholar +1 more source
The Lengths of Certain Real Conjugacy Classes and the Related Prime Graph
Let G be a finite group. In this paper, we study how certain arithmetical conditions on the conjugacy class lengths of real elements of G influence the structure of G. In particular, a new type of prime graph is introduced and studied. We obtain a series
Siqiang Yang, Xianhua Li
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Summary: This paper proves the rationality of Poincaré series whose coefficients are defined using the number of conjugacy classes in a system of finite groups defined as finite images of linear groups over \(\mathbb{Z}_p\) modulo natural congruence subgroups.
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Conjugacy growth in branch groups
We prove that branch groups of automorphisms of regular rooted trees can not have polynomial conjugacy growth.
I.V. Bondarenko
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