A necessary condition for non-abelian finite p-groups with second centre of order p 2

M. Shabani Attar ()
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M. Shabani Attar: University of Payam Noor

Indian Journal of Pure and Applied Mathematics, 2011, vol. 42, issue 3, 183-186

Abstract: Abstract Let G be a non-abelian finite p-group such that |Z 2(G)| = p 2. In this paper we prove that each maximal subgroup M ≠ C G (Z 2(G)) is non-abelian and has cyclic centre.

Keywords: Finite p-groups; maximal subgroups (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s13226-011-0012-x

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