Results 81 to 90 of about 36,197 (185)
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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Product of Conjugacy Classes of the Alternating Group An
مجلة بغداد للعلوم, 2012 For a nonempty subset X of a group G and a positive integer m , the product of X , denoted by Xm ,is the set Xm = That is , Xm is the subset of G formed by considering all possible ordered ...
Baghdad Science Journal
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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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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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Conjugacy Growth and Conjugacy Width of Certain Branch Groups [PDF]
, 2014 The conjugacy growth function counts the number of distinct conjugacy classes in a ball of radius $n$. We give a lower bound for the conjugacy growth of certain branch groups, among them the Grigorchuk group.
Fink, Elisabeth
core
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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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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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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