TY - CHAP
T1 - Properties of Finite and Periodic Groups Determined by Their Element Orders (A Survey)
AU - Herzog, Marcel
AU - Longobardi, Patrizia
AU - Maj, Mercede
N1 - Publisher Copyright:
© 2018, Springer Nature Singapore Pte Ltd.
PY - 2018
Y1 - 2018
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85099384506&partnerID=8YFLogxK
U2 - 10.1007/978-981-13-2047-7_4
DO - 10.1007/978-981-13-2047-7_4
M3 - ???researchoutput.researchoutputtypes.contributiontobookanthology.chapter???
AN - SCOPUS:85099384506
T3 - Indian Statistical Institute Series
SP - 59
EP - 90
BT - Indian Statistical Institute Series
PB - Springer Science and Business Media B.V.
ER -