Results 91 to 100 of about 40,139 (202)
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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Journal of Geophysical Research: Space Physics, Volume 131, Issue 4, April 2026.Abstract The nonlinear development of ballooning instability and the subsequently induced plasmoid formation in the near‐Earth magnetotail demonstrated in MHD simulations has been proposed as a potential trigger mechanism for substorm onset over the past decade, and their connections to the in situ satellite and ground all‐sky auroral optical ...
Ping Zhu +4 more
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On virtual chirality of 3‐manifolds
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract We prove that if a prime 3‐manifold M$M$ is not finitely covered by the 3‐sphere or a product manifold, then M$M$ is virtually chiral, that is, it has a finite cover that does not admit an orientation‐reversing self‐homeomorphism. In general, if a 3‐manifold contains a virtually chiral prime summand, then it is virtually chiral.
Hongbin Sun, Zhongzi Wang
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Groups having complete bipartite divisor graphs for their conjugacy class sizes [PDF]
, 2013 Given a finite group G, the bipartite divisor graph for its conjugacy class sizes is the bipartite graph with bipartition consisting of the set of conjugacy class sizes of G-Z (where Z denotes the centre of G) and the set of prime numbers that divide ...
Hafezieh, Roghayeh, Spiga, Pablo
core
Uniform growth in small cancellation groups
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract An open question asks whether every group acting acylindrically on a hyperbolic space has uniform exponential growth. We prove that the class of groups of uniform uniform exponential growth acting acylindrically on a hyperbolic space is closed under taking certain geometric small cancellation quotients.
Xabier Legaspi, Markus Steenbock
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$N$-recognizability of Groups $ Alt_p\times Alt_5$,\\ Where $p>1361$ Is a Prime Number
Известия Иркутского государственного университета: Серия "Математика"$N$-recognizability of Groups $ Alt_p\times Alt_5$, Where $p>1361$ Is a Prime Number} Given a finite group $L$, let $N(L)$ denote the set of its conjugacy class sizes.
I. B. Gorshkov, V. D. Shepelev
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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
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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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