Results 11 to 20 of about 30,795 (238)
Improved covering results for conjugacy classes of symmetric groups via hypercontractivity
Forum of Mathematics, SigmaWe study covering numbers of subsets of the symmetric group $S_n$ that exhibit closure under conjugation, known as normal sets. We show that for any $\epsilon>0$ , there exists $n_0$ such that if $n>n_0$ and A is a normal ...
Nathan Keller +2 more
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On a Dimension Formula for Twisted Spherical Conjugacy Classes in Semisimple Algebraic Groups [PDF]
, 2010 Let $G$ be a connected semisimple algebraic group over an algebraically closed field of characteristic zero, and let $\th$ be an automorphism of $G$. We give a characterization of $\th$-twisted spherical conjugacy classes in $G$ by a formula for their ...
Lu, Jiang-Hua
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Algorithms for twisted conjugacy classes of polycyclic-by-finite groups [PDF]
Topology and its Applications, 2021 We construct two practical algorithms for twisted conjugacy classes of polycyclic-by-finite groups. The first algorithm determines whether two elements of a group are twisted conjugate for two given endomorphisms, under the condition that the Reidemeister coincidence number of these endomorphisms is finite.
Dekimpe, Karel, Tertooy, Sam
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Twisted Conjugacy Classes for Polyfree Groups [PDF]
Communications in Algebra, 2013 11 ...
Fel'shtyn, Alexander +2 more
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Conjugacy classes and characters for extensions of finite groups [PDF]
Chinese Annals of Mathematics, Series B, 2014 Let $H$ be an extension of a finite group $Q$ by a finite group $G$. Inspired by the results of duality theorems for tale gerbes on orbifolds, we describe the number of conjugacy classes of $H$ that maps to the same conjugacy class of $Q$. Furthermore, we prove a generalization of the orthogonality relation between characters of $G$.
Tang, Xiang, Tseng, Hsian-Hua
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Squares of real conjugacy classes in finite groups
Annali Di Matematica Pura Ed Applicata, 2017 Antonio Beltrán +2 more
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On conjugacy classes of the F4 group over a field q with characteristic 2
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2022 This article continues a series of papers devoted to solving the problem by which a non-identity conjugacy class in a finite simple non-abelian group contains commuting elements. Previously, this statement was tested for sporadic, projective, alternating
Yurova Nadezhda
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Abelian varieties with isogenous reductions
Comptes Rendus. Mathématique, 2021 Let $A_1$ and $A_2$ be abelian varieties over a number field $K$. We prove that if there exists a non-trivial morphism of abelian varieties between reductions of $A_1$ and $A_2$ at a sufficiently high percentage of primes, then there exists a non-trivial
Khare, Chandrashekhar B. +1 more
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On Lusztig's map for spherical unipotent conjugacy classes in disconnected groups
Bulletin of the London Mathematical Society, 2023 AbstractLet be a simple algebraic group over an algebraically closed field and let be a graph‐automorphism of . We classify the spherical unipotent conjugacy classes in the coset . As a by‐product, we show that J.‐H. Lu's characterization in characteristic zero of spherical conjugacy classes in by the dimension formula also holds for spherical ...
Costa Cesari, M, Costantini, M
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Two moonshines for L2(11) but none for M12
Nuclear Physics B, 2019 In this paper, we revisit an earlier conjecture by one of us that related conjugacy classes of M12 to Jacobi forms of weight zero and index one. We construct Jacobi forms for all conjugacy classes of M12 that are consistent with constraints from group ...
Suresh Govindarajan, Sutapa Samanta
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