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https://doi.org/10.3336/gm.52.1.07

Finite nonabelian p-groups of exponent >p with a small number of maximal abelian subgroups of exponent >p

Zvonimir Janko ; Mathematical Institute, University of Heidelberg, 69120 Heidelberg, Germany


Puni tekst: engleski pdf 104 Kb

str. 99-105

preuzimanja: 367

citiraj


Sažetak

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.

Ključne riječi

Finite p-groups, minimal nonabelian subgroups, maximal abelian subgroups, quasidihedral 2-groups, Hughes subgroup

Hrčak ID:

183125

URI

https://hrcak.srce.hr/183125

Posjeta: 597 *