Finite nonabelian p-groups of exponent >p with a small number of maximal Abelian subgroups of exponent >p
Y. Berkovich has proposed to classify nonabelian finite p-groups G of exponent >p which have exactly p maximal abelian subgroups of exponent >p and this was done here in Theorem 1 for p=2 and in Theorem 2 for p>2. The next critical case, where G has exactly p+1 maximal abelian subgroups of...
Gespeichert in:
| 1. Verfasser: | |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
June 2017
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| In: |
Glasnik matematički
Year: 2017, Jahrgang: 52, Heft: 1, Pages: 99-105 |
| ISSN: | 1846-7989 |
| DOI: | 10.3336/gm.52.1.07 |
| Online-Zugang: | Verlag, kostenfrei, Volltext: http://dx.doi.org/10.3336/gm.52.1.07 Verlag, Volltext: https://hrcak.srce.hr/183125 |
| Verfasserangaben: | Zvonimir Janko |
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| 520 | |a Y. Berkovich has proposed to classify nonabelian finite p-groups G of exponent >p which have exactly p maximal abelian subgroups of exponent >p and this was done here in Theorem 1 for p=2 and in Theorem 2 for p>2. The next critical case, where G has exactly p+1 maximal abelian subgroups of exponent >p was done only for the case p=2 in Theorem 3. | ||
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