Elements of prime order in the upper central series of a group of prime-power order

Gunnar Traustason, Andrea Caranti, Carlo Scoppola

Research output: Contribution to journalArticlepeer-review

Abstract

We investigate the occurrence of elements of order p in the upper central series of a finite p-group.
Original languageEnglish
Pages (from-to)3124-3133
Number of pages10
JournalCommunications in Algebra
Volume53
Issue number8
Early online date1 Feb 2025
DOIs
Publication statusPublished - 2025

Funding

The first two authors are members of INdAM\u2014GNSAGA. The first author gratefully acknowledges support from the Department of Mathematics of the University of Trento.

FundersFunder number
Istituto Nazionale di Alta Matematica "Francesco Severi"
Università degli Studi di Trento

    Keywords

    • Elements of prime order
    • finite p-groups
    • upper central series

    ASJC Scopus subject areas

    • Algebra and Number Theory

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