n-capability of A-groups
Following P. Hall a soluble group whose Sylow subgroups are all abelian is called A-group. The purpose of this article is to give a new and shorter proof for a criterion on the capability of A-groups of order p2q, where p and q are distinct primes. Subsequently we give a sufficient condition for n-c...
| Hoofdauteurs: | , , |
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| Formaat: | Artikel |
| Taal: | English |
| Gepubliceerd in: |
University of Kashan
2020-12-01
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| Reeks: | Mathematics Interdisciplinary Research |
| Onderwerpen: | |
| Online toegang: | https://mir.kashanu.ac.ir/article_110821_0abe1545736a161f9fd287d64f272d75.pdf |
| Samenvatting: | Following P. Hall a soluble group whose Sylow subgroups are all abelian is called A-group. The purpose of this article is to give a new and shorter proof for a criterion on the capability of A-groups of order p2q, where p and q are distinct primes. Subsequently we give a sufficient condition for n-capability of groups having the property that their center and derived subgroups have trivial intersection, like the groups with trivial Frattini subgroup and A-groups. An interesting necessary and sufficient condition for capability of the A-groups of square free order will be also given. |
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| ISSN: | 2476-4965 |