Glasnik matematički, Vol. 52 No. 1, 2017.
Original scientific paper
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
Abstract
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.
Keywords
Finite p-groups; minimal nonabelian subgroups; maximal abelian subgroups; quasidihedral 2-groups; Hughes subgroup
Hrčak ID:
183125
URI
Publication date:
21.6.2017.
Visits: 851 *