Results 1 to 10 of about 3,179 (217)
From conjugacy classes in the Weyl group to semisimple conjugacy classes [PDF]
Pure and Applied Mathematics Quarterly, 2021 Suppose $G$ is a connected complex semisimple group and $W$ is its Weyl group. The lifting of an element of $W$ to $G$ is semisimple. This induces a well-defined map from the set of elliptic conjugacy classes of $W$ to the set of semisimple conjugacy classes of $G$. In this paper, we give a uniform algorithm to compute this map.
Adams, Jeffrey, He, Xuhua, Nie, Sian
openaire +3 more sources
Groups with Boundedly Černikov Conjugacy Classes [PDF]
Advances in Group Theory and Applications, 2021 A relevant theorem of B.H. Neumann states that if a group G has boundedly finite conjugacy classes, then its commutator subgroup G' is finite. This result has been generalized in previous work, where it is proved in particular that if the orbits of a ...
M. De Falco +3 more
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Commuting conjugacy classes graph of the generalized dihedral and dicyclic groups [PDF]
ریاضی و جامعه, 2023 Suppose $G$ is a finite non-abelian group and $\Gamma(G)$ is a simple graph with the non-central conjugacy classes of $G$ as its vertex set. Two different non-central conjugacy classes $A$ and $B$ are assumed to be adjacent if and only if there are ...
Mohammadali Salahshour
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Boundedly finite conjugacy classes of tensors [PDF]
International Journal of Group Theory, 2021 Let $n$ be a positive integer and let $G$ be a group. We denote by $\nu(G)$ a certain extension of the non-abelian tensor square $G \otimes G$ by $G \times G$. Set $T_{\otimes}(G) = \{g \otimes h \mid g,h \in G\}$.
Raimundo Bastos, Carmine Monetta
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Commuting Conjugacy Class Graph of G when G / Z(G)~=D2n [PDF]
Mathematics Interdisciplinary Research, 2020 Suppose G is a finite non-abelian group and Γ(G) is a simple graph with the non-central conjugacy classes of G as its vertex set. Two different noncentral conjugacy classes C and B are assumed to be adjacent in Γ(G) if and only if there are elements a ...
Mohammad Ali Salahshour
doaj +1 more source
Q-conjugacy character table for the non-rigid group of 2,3-dimethylbutane [PDF]
Journal of the Serbian Chemical Society, 2009 Maturated and unmaturated groups were introduced by the Japanese chemist Shinsaku Fujita, who used them in the markaracter table and the Q-conjugacy character table of a finite group.
Darafsheh Reza Mohammad, Moghani Ali
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On a Maximal Subgroup of the Affine General Linear Group of GL(6, 2) [PDF]
Advances in Group Theory and Applications, 2021 The affine general linear group 2^5:GL(5, 2) of GL(6, 2) has 6 conjugacy classes of maximal subgroups. The largest maximal subgroup is a group of the form 2^(1+8)_+ : GL(4, 2). In this paper we firstly determine the conjugacy classes of G using the coset
Ayoub B.M. Basheer, Jamshid Moori
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Conjugacy classes contained in normal subgroups: an overview [PDF]
International Journal of Group Theory, 2018 We survey known results concerning how the conjugacy classes contained in a normal subgroup and their sizes exert an influence on the normal structure of a finite group.
Antonio Beltran +2 more
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Some problems about products of conjugacy classes in finite groups [PDF]
International Journal of Group Theory, 2020 We summarize several results about non-simplicity, solvability and normal structure of finite groups related to the number of conjugacy classes appearing in the product or the power of conjugacy classes.
Antonio Beltrán +2 more
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On the Regular Power Graph on the Conjugacy Classes of Finite Groups [PDF]
Mathematics Interdisciplinary Research, 2018 The (undirected) power graph on the conjugacy classes PC(G) of a group G is a simple graph in which the vertices are the conjugacy classes of G and two distinct vertices C and C' are adjacent in PC(G) if one is a subset of a power of the other.
Sajjad Mahmood Robati
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