Glasnik matematički, Vol. 46 No. 1, 2011.
Original scientific paper
https://doi.org/10.3336/gm.46.1.09
On finite p-groups containing a maximal elementary abelian subgroup of order p^2
Yakov Berkovich
; Department of Mathematics, University of Haifa, Mount Carmel, Haifa 31905, Israel
Abstract
We continue investigation of a p-group G containing a maximal elementary abelian subgroup R of order p2, p>2, initiated by Glauberman and Mazza [6]; case p=2 also considered. We study the structure of the centralizer of R in G. This reduces the investigation of the structure of G to results of Blackburn and Janko (see references). Minimal nonabelian subgroups play important role in proofs of Theorems 2 and 5.
Keywords
Minimal nonabelian p-group; maximal elementary abelian subgroup; soft subgroup
Hrčak ID:
68881
URI
Publication date:
13.6.2011.
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