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Higher Polynomial Identities for Mutations of Associative Algebras. [PDF]

open access: yesResults Math, 2023
Bremner MR, Brox J, Sánchez-Ortega J.
europepmc   +1 more source

On the largest conjugacy class size in a finite group

open access: yes, 2000
Let \(G\) denote a finite group and let \(\text{lcs}(G)\) denote the largest conjugacy class size of \(G\). If \(G_p\) is a Sylow \(p\)-subgroup of \(G\), the authors prove the following Theorem: Let \(G\) be an Abelian-by-nilpotent finite group. Then: \[ \text{lcs}(G)\geq\prod_{p\in\pi(G)}\text{lcs}(G_p).
Cossey, Peter (John), Hawkes, Trevor
openaire   +1 more source

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