GROUPS WITH AT MOST 13 NONPOWER SUBGROUPS

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Authors: JIWEI ZHENG, WEI ZHOU, D. E. Taylor
Cited by: 0
References: 12

Abstract

Abstract For a group G and $m\ge 1$ , $G^m$ denotes the subgroup generated by the elements $g^m$ , where g runs through G . The subgroups not of the form $G^m$ are called nonpower subgroups. We extend the classification of groups with few nonpower subgroups from groups with at most nine nonpower subgroups to groups with at most 13 nonpower subgroups.

Fields of Study & Subjects

Finite Group Theory Research Geometric and Algebraic Topology Mathematics and Applications

Publication details

Journal / source
Bulletin of the Australian Mathematical Society
Publisher
Cambridge University Press (CUP)
Pages
1–14
Publication date
30 January 2026
Language
EN