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

Gunnar Traustason; Andrea Caranti; Carlo Scoppola

doi:10.1080/00927872.2025.2455454

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

Gunnar Traustason, Andrea Caranti, Carlo Scoppola

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate the occurrence of elements of order p in the upper central series of a finite p-group.

Original language	English
Journal	Communications in Algebra
Early online date	1 Feb 2025
DOIs	https://doi.org/10.1080/00927872.2025.2455454
Publication status	E-pub ahead of print - 1 Feb 2025

Funding

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

Keywords

Elements of prime order
finite p-groups
upper central series

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1080/00927872.2025.2455454

Cite this

@article{ec1b3c7e78754d2d93941cbc4b6cc3e0,

title = "Elements of prime order in the upper central series of a group of prime-power order",

abstract = "We investigate the occurrence of elements of order p in the upper central series of a finite p-group.",

keywords = "Elements of prime order, finite p-groups, upper central series",

author = "Gunnar Traustason and Andrea Caranti and Carlo Scoppola",

year = "2025",

month = feb,

day = "1",

doi = "10.1080/00927872.2025.2455454",

language = "English",

journal = "Communications in Algebra",

issn = "0092-7872",

publisher = "Taylor and Francis",

}

TY - JOUR

T1 - Elements of prime order in the upper central series of a group of prime-power order

AU - Traustason, Gunnar

AU - Caranti, Andrea

AU - Scoppola, Carlo

PY - 2025/2/1

Y1 - 2025/2/1

N2 - We investigate the occurrence of elements of order p in the upper central series of a finite p-group.

AB - We investigate the occurrence of elements of order p in the upper central series of a finite p-group.

KW - Elements of prime order

KW - finite p-groups

KW - upper central series

UR - http://www.scopus.com/inward/record.url?scp=85216680948&partnerID=8YFLogxK

U2 - 10.1080/00927872.2025.2455454

DO - 10.1080/00927872.2025.2455454

M3 - Article

SN - 0092-7872

JO - Communications in Algebra

JF - Communications in Algebra

ER -

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

Abstract

Funding

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Embargoed Document

Fingerprint

Cite this