NEW CRITERIA FOR SOLVABILITY, NILPOTENCY AND OTHER PROPERTIES OF FINITE GROUPS IN TERMS OF THE ORDER ELEMENTS OR SUBGROUPS

Marcel Herzog, Patrizia Longobardi, Mercede Maj*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this survey we shall describe some recent criteria for solvability, nilpotency and other properties of finite groups G, based either on the orders of the elements of G or on the orders of the subgroups of G.

Original languageEnglish
Pages (from-to)35-44
Number of pages10
JournalInternational Journal of Group Theory
Volume12
Issue number1
DOIs
StatePublished - Mar 2023
Externally publishedYes

Keywords

  • Element orders
  • nilpotency
  • solvability

Fingerprint

Dive into the research topics of 'NEW CRITERIA FOR SOLVABILITY, NILPOTENCY AND OTHER PROPERTIES OF FINITE GROUPS IN TERMS OF THE ORDER ELEMENTS OR SUBGROUPS'. Together they form a unique fingerprint.

Cite this