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Original scientific paper

https://doi.org/10.3336/gm.46.1.11

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


Full text: english pdf 184 Kb

page 103-120

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Abstract

We give here a complete classification (up to isomorphism) of the title groups (Theorems 1, 3 and 5). The corresponding problem for p=2 was solved in [4] and for p>2 with d(G)=2 was solved in [5]. This gives a complete solution of the problem Nr. 861 of Y. Berkovich stated in [2].

Keywords

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

Hrčak ID:

68885

URI

https://hrcak.srce.hr/68885

Publication date:

13.6.2011.

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