The average element order and the number of conjugacy classes of finite groups

Autor: Mohammad Zarrin, Evgeny Khukhro, Alexander Moretó
Rok vydání: 2020
Předmět:
DOI: 10.48550/arxiv.2009.08226
Popis: Let o ( G ) be the average order of the elements of G, where G is a finite group. We show that there is no polynomial lower bound for o ( G ) in terms of o ( N ) , where N ⊴ G , even when G is a prime-power order group and N is abelian. This gives a negative answer to a question of A. Jaikin-Zapirain.
Databáze: OpenAIRE
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