Frontiers of Mathematics in China >

2012 , Vol. 7 >Issue 5: 971 - 1003

DOI: https://doi.org/10.1007/s11464-012-0216-3

RESEARCH ARTICLE

Finite 2-groups whose nonnormal subgroups have orders at most 23

  • Qinhai ZHANG ,
  • Meijuan SU
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  • Department of Mathematics, Shanxi Normal University, Linfen 041004, China

Received date: 03 Mar 2012

Accepted date: 17 Apr 2012

Published date: 01 Oct 2012

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

In this paper, we classify finite 2-groups all of whose nonnormal subgroups have orders at most 23. Together with a known result, we completely solved Problem 2279 proposed by Y. Berkovich and Z. Janko in Groups of Prime Power Order, Vol. 3.

Key words： Minimal non-abelian p-group; nonnormal subgroup; central extension

Cite this article

Qinhai ZHANG , Meijuan SU . Finite 2-groups whose nonnormal subgroups have orders at most 23[J]. Frontiers of Mathematics in China, 2012 , 7(5) : 971 -1003 . DOI: 10.1007/s11464-012-0216-3

References

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