Glasnik Matematicki, Vol. 46, No. 2 (2011), 367-383.

AUTOMORPHISMS OF A MINIMAL NONABELIAN p-GROUP WITH p ODD I

János Kurdics

Institute of Mathematics and Informatics, Nyíregyháza College, 31/b Sóstói u. Nyíregyháza 4400, Hungary
e-mail: kurdics@nyf.hu

Abstract.   Description of automorphism groups of non-metacyclic minimal nonabelian finite p-groups with p>2 in terms of generators and relations is provided. Furthermore, finite abelian groups with solvable automorphism groups are determined.

2000 Mathematics Subject Classification.   20D45, 20F28.

Key words and phrases.   Group, finite p-group, automorphism, minimal nonabelian group.

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DOI: 10.3336/gm.46.2.09

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