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Media type:
E-Article
Title:
GROUPS WITH FEW NONPOWER SUBGROUPS
Contributor:
ZHENG, JIWEI;
ZHOU, WEI;
TAYLOR, D. E.
Published:
Cambridge University Press (CUP), 2024
Published in:
Bulletin of the Australian Mathematical Society, 109 (2024) 3, Seite 529-540
Language:
English
DOI:
10.1017/s0004972723000783
ISSN:
0004-9727;
1755-1633
Origination:
Footnote:
Description:
AbstractFor a group G and $m\ge 1$, let $G^m$ denote the subgroup generated by the elements $g^m$, where g runs through G. The subgroups not of the form $G^m$ are the nonpower subgroups of G. We classify the groups with at most nine nonpower subgroups.