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Original scientific paper

https://doi.org/10.3336/gm.45.2.11

Finite p-groups G with p > 2 and d(G) = 2 having exactly one maximal subgroup which is neither abelian nor minimal nonabelian

Zvonimir Janko ; Mathematical Institute, University of Heidelberg, 69120 Heidelberg, Germany


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Abstract

We give here a complete classification (up to isomorphism) of the title groups (Theorem 1 and Theorem 2). The corresponding problem for p=2 was solved in [4].

Keywords

Minimal nonabelian p-groups; A2-groups; metacyclic p-groups; Frattini subgroups; Hall-Petrescu formula; generators and relations

Hrčak ID:

62699

URI

https://hrcak.srce.hr/62699

Publication date:

24.12.2010.

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