On finite p-groups containing a maximal elementary abelian subgroup of order p2 | Zendy

Yakov Berkovich | Zendy

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On finite p-groups containing a maximal elementary abelian subgroup of order p2

Author(s) -

Yakov Berkovich

Publication year - 2011

Publication title -

glasnik matematicki

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.332

H-Index - 17

eISSN - 1846-7989

pISSN - 0017-095X

DOI - 10.3336/gm.46.1.09

Subject(s) - mathematics , abelian group , torsion subgroup , omega and agemo subgroup , order (exchange) , pure mathematics , elementary abelian group , maximal subgroup , combinatorics , group (periodic table) , finite group , physics , finance , quantum mechanics , economics

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

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