Finite p-Groups in Which the Number of Subgroups of Possible Order Is Less Than or Equal to p^3
In this paper, groups of order p^n in which the number of subgroups of possible order is less than or equal to p3 ale classified. It turns out that if p 〉 2, n≥ 5, then the classification of groups of order p^n in which the number of subgroups of possible order is less than or equal to p3 and the cl...
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| Veröffentlicht in: | Chinese annals of mathematics. Serie B 2010-07, Vol.31 (4), p.497-506 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper, groups of order p^n in which the number of subgroups of possible order is less than or equal to p3 ale classified. It turns out that if p 〉 2, n≥ 5, then the classification of groups of order p^n in which the number of subgroups of possible order is less than or equal to p3 and the classification of groups of order p^n with a cyclic subgroup of index p2 are the same. |
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| ISSN: | 0252-9599 1860-6261 |
| DOI: | 10.1007/s11401-010-0590-7 |