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

7 Scopus citations

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

Funding

FundersFunder number
GNSAGA-INDAM
Istituto Nazionale di Alta Matematica "Francesco Severi"
Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni

    Keywords

    • Element orders
    • nilpotency
    • solvability

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