Results 81 to 90 of about 3,682,623 (208)
Groups with restricted conjugacy classes
, 2002 Let \(\text{FC}^0\) be the class of all finite groups, and for each non-negative integer \(n\) let the class \(\text{FC}^{n+1}\) be defined by induction as the class of all groups \(G\) such that for every element \(x\in G\) the factor group \(G/C_G(\langle x\rangle^G)\) is in \(\text{FC}^n\). The \(\text{FC}^1\)-groups are precisely groups with finite
de Giovanni F., Russo A., Vincenzi G.
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Twisted Conjugacy Classes in Chevalley Groups [PDF]
Algebra and Logic, 2015 We prove that Chevalley group over the field $F$ of zero characteristic possess $R_{\infty}$ property, if $F$ has torsion group of automorphisms or $F$ is an algebraically closed field which has finite transcendence degree over $\mathbb{Q}$. As a consequence we obtain that the twisted conjugacy class $[e]_ $ of unit element is a subgroup of Chevalley ...
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2-groups with few conjugacy classes [PDF]
Proceedings of the Edinburgh Mathematical Society, 2000 AbstractAn old question of Brauer that asks how fast numbers of conjugacy classes grow is investigated by considering the least number cn of conjugacy classes in a group of order 2n. The numbers cn are computed for n ≤ 14 and a lower bound is given for c15.
Boston, Nigel, Walker, Judy L.
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Coxeter's enumeration of Coxeter groups
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In a short paper that appeared in the Journal of the London Mathematical Society in 1934, H. S. M. Coxeter completed the classification of finite Coxeter groups. In this survey, we describe what Coxeter did in this paper and examine an assortment of topics that illustrate the broad and enduring influence of Coxeter's paper on developments in ...
Bernhard Mühlherr, Richard M. Weiss
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The first two group theory papers of Philip Hall
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In this paper, we discuss the first two papers on soluble groups written by Philip Hall and their influence on the study of finite groups. The papers appeared in 1928 and 1937 in the Journal of the London Mathematical Society.
Inna Capdeboscq
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Recognizing L2(p) by its order and one special conjugacy class size
, 2012 In the past thirty years, many authors investigated some quantitative characterizations of finite groups, especially finite simple groups, such as quantitative characterizations by group order and element orders, by the set of lengths of conjugacy ...
Yanheng Chen, Guiyun Chen
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Chaos and unpredictability with time inconsistent policy makers
Theoretical Economics, Volume 21, Issue 1, Page 241-280, January 2026.We analyze the existence of equilibria with complex dynamics in a policy framework with time inconsistency. We consider an economy where, in each period, the policy maker in power determines the level of a durable public good (or bad) that creates strategic linkages across policy periods. When the decision‐making process is time consistent—such as when
Marco Battaglini
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Random Structures &Algorithms, Volume 67, Issue 4, December 2025.ABSTRACT A finite group G$$ G $$ is mixable if a product of random elements, each chosen independently from two options, can distribute uniformly on G$$ G $$. We present conditions and obstructions to mixability. We show that 2‐groups, the symmetric groups, the simple alternating groups, several matrix and sporadic simple groups, and most finite ...
Gideon Amir +3 more
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Conjugacy classes and growth conditions
Journal of Algebra, 2003 Let \(G\) be a finitely generated group and \(E\) a finite generating system. If \(g\in G\) let \(l_E(g)\) be the minimal length of an expression of \(g\) as a product of elements of \(E\), and let \(f_E(n)\) be the number of elements \(g\) of \(G\) for which \(l_E(G)\leq n\).
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Markov's conjecture on integral necklaces
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 4122-4131, December 2025.Abstract We use the geometric reformulation of Markov's uniqueness conjecture in terms of the simple length spectrum of the modular torus to rewrite the conjecture in combinatorial terms by explicitly describing this set of lengths.
David Fisac
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