Results 1 to 10 of about 4,080,568 (179)
TWISTED CONJUGACY CLASSES IN LATTICES IN SEMISIMPLE LIE GROUPS [PDF]
, 2012 Given a group automorphism ϕ: Γ → Γ, one has an action of Γ on itself by ϕ-twisted conjugacy, namely, g.x = gxϕ(g−1). The orbits of this action are called ϕ-conjugacy classes.
T. Mubeena, P. Sankaran
semanticscholar +3 more sources
Multicomponent KP type hierarchies and their reductions, associated to conjugacy classes of Weyl groups of classical Lie algebras [PDF]
Journal of Mathematics and Physics, 2023 This, to a large extent, expository paper describes the theory of multicomponent hierarchies of evolution equations of XKP type, where X = A, B, C, or D, and AKP = KP and their reductions, associated with the conjugacy classes of the Weyl groups of ...
V. Kac, J. van de Leur
semanticscholar +1 more source
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
doaj +1 more source
Conjugacy classes of big mapping class groups [PDF]
Journal of the London Mathematical Society, 2021 We describe the topological behavior of the conjugacy action of the mapping class group of an orientable infinite‐type surface Σ$\Sigma$ on itself by proving that: (1)all conjugacy classes of Map(Σ)$\operatorname{Map}(\Sigma )$ are meager for every Σ ...
Jesús Hernández Hernández +5 more
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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
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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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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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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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From conjugacy classes in the Weyl group to semisimple conjugacy classes [PDF]
Pure and Applied Mathematics Quarterly, 2019 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 ...
Jeffrey Adams, Xuhua He, S. Nie
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