Conjugacy classes of trialitarian automorphisms and symmetric compositions [PDF]
, 2011 The trialitarian automorphisms considered in this paper are the outer automorphisms of order 3 of adjoint classical groups of type D_4 over arbitrary fields.
Chernousov, Vladimir +2 more
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Expansion of normal subsets of odd‐order elements in finite groups
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract Let G$G$ be a finite group and K$K$ a normal subset consisting of odd‐order elements. The rational closure of K$K$, denoted DK$\mathbf {D}_K$, is the set of elements x∈G$x \in G$ with the property that ⟨x⟩=⟨y⟩$\langle x \rangle = \langle y \rangle$ for some y$y$ in K$K$.
Chris Parker, Jack Saunders
wiley +1 more source
Duality theory for locally compact groups with precompact conjugacy classes. I. The character space [PDF]
Transactions of the American Mathematical Society, 1975 Let G be a locally compact group, and let X ( G ) \mathcal {X}(G) consist of the nonzero extreme points of the set of continuous, G-invariant, positive definite functions f on G such that f ( e ) ≤ 1 f(e) \leq 1 .
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Ordinary primes for GL2$\operatorname{GL}_2$‐type abelian varieties and weight 2 modular forms
Mathematika, Volume 72, Issue 2, April 2026.Abstract Let A$A$ be a g$g$‐dimensional abelian variety defined over a number field F$F$. It is conjectured that the set of ordinary primes of A$A$ over F$F$ has positive density, and this is known to be true when g=1,2$g=1, 2$, or for certain abelian varieties with extra endomorphisms.
Tian Wang, Pengcheng Zhang
wiley +1 more source
Duality Theory for Locally Compact Groups With Precompact Conjugacy Classes. II: The Dual Space [PDF]
Transactions of the American Mathematical Society, 1976 The present paper is concerned with the dual space Ĝ consisting of all unitary equivalence classes of continuous irreducible unitary representations of separable [ F C ] − {[FC]^ - } groups (i.e. groups with precompact conjugacy classes).
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Enumeration of conjugacy classes in affine groups [PDF]
, 2021 Jason Fulman, Robert M. Guralnick
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Circle packings, renormalizations, and subdivision rules
Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract In this paper, we use iterations of skinning maps on Teichmüller spaces to study circle packings and develop a renormalization theory for circle packings whose nerves satisfy certain subdivision rules. We characterize when the skinning map has bounded image.
Yusheng Luo, Yongquan Zhang
wiley +1 more source
Curve selection Lemma for semianalytic sets and conjugacy classes of finite order in Lie groups [PDF]
Science in China Series A: Mathematics, 2008 6 ...
An, Jinpeng, Wang, Zhengdong
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On conjugacy classes of the homomorphic images of a certain Bianchi group
Kuwait Journal of Science, 2017 In this paper, we classify the conjugacy classes of the action of PSL₂(O₂) on the projective line over finite fields, PL(F_{p}), where p is the M-S prime, by using the method of parametrization and investigate the behavoior of coset diagrams of these ...
Umar Shoaib
doaj
Resize result involution graphs of some finite groups
Zanco Journal of Pure and Applied SciencesThe resize result involution graph of a finite group , is a simple undirected graph whose vertices are the conjugacy classes of and two distinct vertices are adjacent if their representative product is a non-trivial involution.
Zaid Manaf Kareem +1 more
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