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GROUPS WITH FEW NONPOWER SUBGROUPS
For 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.
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| Published in: | Bulletin of the Australian Mathematical Society 2024-06, Vol.109 (3), p.529-540 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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| cites | cdi_FETCH-LOGICAL-c269t-48ccaf4e53cc06a2102307e4e803f3a88d64bf09f59acb4575fc111c99f3cb033 |
| container_end_page | 540 |
| container_issue | 3 |
| container_start_page | 529 |
| container_title | Bulletin of the Australian Mathematical Society |
| container_volume | 109 |
| creator | ZHENG, JIWEI ZHOU, WEI TAYLOR, D. E. |
| description | For 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. |
| doi_str_mv | 10.1017/S0004972723000783 |
| format | article |
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, let
$G^m$
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$g^m$
, where g runs through G. The subgroups not of the form
$G^m$
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$m\ge 1$
, let
$G^m$
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$g^m$
, where g runs through G. The subgroups not of the form
$G^m$
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$m\ge 1$
, 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.</abstract><cop>Cambridge, UK</cop><pub>Cambridge University Press</pub><doi>10.1017/S0004972723000783</doi><tpages>12</tpages><orcidid>https://orcid.org/0000-0001-9538-1915</orcidid><orcidid>https://orcid.org/0000-0003-2689-4746</orcidid><orcidid>https://orcid.org/0009-0007-2728-9499</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0004-9727 |
| ispartof | Bulletin of the Australian Mathematical Society, 2024-06, Vol.109 (3), p.529-540 |
| issn | 0004-9727 1755-1633 |
| language | eng |
| recordid | cdi_proquest_journals_3055295191 |
| source | Cambridge Journals Online |
| subjects | Subgroups |
| title | GROUPS WITH FEW NONPOWER SUBGROUPS |
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