Glasnik Matematicki, Vol. 51, No. 1 (2016), 109-115.

FINITE P-GROUPS WHICH ARE NOT GENERATED BY THEIR NON-NORMAL SUBGROUPS

Zvonimir Janko

Mathematical Institute, University of Heidelberg , 69120 Heidelberg, Germany
e-mail: janko@mathi.uni-heidelberg.de

Abstract.   Here we classify finite non-Dedekindian p-groups which are not generated by their non-normal subgroups. (Theorem 1).

2010 Mathematics Subject Classification.   20D15.

Key words and phrases.   Finite p-groups, Dedekindian p-groups, non-normal subgroups.

Full text (PDF) (free access)

DOI: 10.3336/gm.51.1.06

References:

  1. Y. Berkovich, Groups of prime power order, Vol. 1, Walter de Gruyter, Berlin-New York, 2008.
    MathSciNet     CrossRef

  2. Y. Berkovich and Z. Janko, Groups of prime power order, Vol. 3, Walter de Gruyter, Berlin-New York, 2011.
    MathSciNet     CrossRef
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