@inbook{a3e1250a83804b44aae5e45ecabac20e,
title = "Properties of Finite and Periodic Groups Determined by Their Element Orders (A Survey)",
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.",
author = "Marcel Herzog and Patrizia Longobardi and Mercede Maj",
note = "Publisher Copyright: {\textcopyright} 2018, Springer Nature Singapore Pte Ltd.",
year = "2018",
doi = "10.1007/978-981-13-2047-7_4",
language = "אנגלית",
series = "Indian Statistical Institute Series",
publisher = "Springer Science and Business Media B.V.",
pages = "59--90",
booktitle = "Indian Statistical Institute Series",
}