Covering by Centralizers

Monatshefte für Mathematik 2026 Open access

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Authors: Mark L. Lewis, Ryan McCulloch
DOI: 10.1007/s00605-026-02165-7
Cited by: 0
References: 14

Abstract

Abstract In this paper, we consider covers of finite groups by centralizers of elements. We show that the set of centralizers that are maximal under the partial ordering form a cover of the group. We also show that the set of centralizers that are minimal under the partial ordering form a cover of the group. We show for F -groups that are nonabelian p -groups that the number of distinct nontrivial centralizers is congruent to 1 modulo p .

Fields of Study & Subjects

Finite Group Theory Research Geometric and Algebraic Topology Quasicrystal Structures and Properties

Publication details

Journal / source
Monatshefte für Mathematik
Publisher
Springer Science and Business Media LLC
Volume
210
Issue
2
Pages
199–211
Publication date
17 February 2026
Language
EN