Properties of Finite and Periodic Groups Determined by Their Element Orders (A Survey)

Marcel Herzog, Patrizia Longobardi, Mercede Maj

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

Let G be a finite group. The function $$\begin{aligned} \omega (G)=\{o(x):x\in G\} \end{aligned}$$ω(G)={o(x):x∈G} assigns to G the set of orders of all elements of G. In this survey we shall describe results concerning information about G that can be derived by looking either at ω(G) or at the complete list of orders of elements of G.

Original languageEnglish
Title of host publicationIndian Statistical Institute Series
PublisherSpringer Science and Business Media B.V.
Pages59-90
Number of pages32
DOIs
StatePublished - 2018

Publication series

NameIndian Statistical Institute Series
ISSN (Print)2523-3114
ISSN (Electronic)2523-3122

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