Results 21 to 30 of about 737 (186)
Conjugacy classes in algebraic monoids [PDF]
Transactions of the American Mathematical Society, 1987 Let M M be a connected linear algebraic monoid with zero and a reductive group of units
openaire +1 more source
Symmetric groups and conjugacy classes [PDF]
Journal of Group Theory, 2008 Let S_n be the symmetric group on n-letters. Fix n>5. Given any nontrivial $α,β\in S_n$, we prove that the product $α^{S_n}β^{S_n}$ of the conjugacy classes $α^{S_n}$ and $β^{S_n}$ is never a conjugacy class. Furthermore, if n is not even and $n$ is not a multiple of three, then $α^{S_n}β^{S_n}$ is the union of at least three distinct conjugacy ...
Adan-Bante, Edith, Verrill, Helena
openaire +3 more sources
COPRIME CONJUGACY CLASS SIZES [PDF]
Asian-European Journal of Mathematics, 2009 We consider finite groups in which every triple of distinct conjugacy class sizes greater than one has a pair which is coprime. We prove such a group is soluble and has conjugate rank at most three.
Camina, A. R., Camina, R. D.
openaire +1 more source
Topological conjugacy of n-multiple Cartesian products of circle rough transformations [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2021 It is known from the 1939 work of A. G. Mayer that rough transformations of the circle are limited to the diffeomorphisms of Morse – Smale. A topological conjugacy class of orientation-preserving diffeomorphism is entirely determined by its ...
Golikova, Iuliana Viktorovna +1 more
doaj +1 more source
On spherical twisted conjugacy classes [PDF]
Transformation Groups, 2012 Let G be a simple algebraic group over an algebraically closed field of good odd characteristic, and let theta be an automorphism of G arising from an involution of its Dynkin diagram. We show that the spherical theta-twisted conjugacy classes are precisely those intersecting only Bruhat cells corresponding to twisted involutions in the Weyl group.
openaire +4 more sources
The Class Equation and the Commutativity Degree for Complete Hypergroups
Mathematics, 2020 The aim of this paper is to extend, from group theory to hypergroup theory, the class equation and the concept of commutativity degree. Both of them are studied in depth for complete hypergroups because we want to stress the similarities and the ...
Andromeda Cristina Sonea, Irina Cristea
doaj +1 more source
Partial orders on conjugacy classes in the Weyl group and on unipotent conjugacy classes [PDF]
Advances in Mathematics, 2021 Let $G$ be a reductive group over an algebraically closed field and let $W$ be its Weyl group. In a series of papers, Lusztig introduced a map from the set $[W]$ of conjugacy classes of $W$ to the set $[G_u]$ of unipotent classes of $G$. This map, when restricted to the set of elliptic conjugacy classes $[W_e]$ of $W$, is injective.
Adams, Jeffrey, He, Xuhua, Nie, Sian
openaire +3 more sources
Designs from maximal subgroups and conjugacy classes of $\mathrm{PSL}(2,q)$, $q$ odd [PDF]
AUT Journal of Mathematics and Computing, 2023 In this paper, using a method of construction of $1$-designs which are not necessarily symmetric, introduced by Key and Moori, we determine a number of $1$-designs with interesting parameters from the maximal subgroups and the conjugacy classes of ...
Xavier Mbaale +2 more
doaj +1 more source
On the topological conjugacy of two-dimensional homogeneous inner mappings
Pracì Mìžnarodnogo Geometričnogo Centru, 2015 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
doaj +1 more source
Bulletin of the London Mathematical Society, 2005 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.
openaire +2 more sources