Glasnik Matematicki, Vol. 47, No. 1 (2012), 149-152.

ALTERNATE PROOF OF THE REINHOLD BAER THEOREM ON 2-GROUPS WITH NONABELIAN NORM

Yakov Berkovich

Abstract.   We present a new easy proof of the classical theorem due to Reinhold Baer asserting that the nonabelian norm of a 2-group G coincides with G, i.e., G is Dedekindian. Our proof is independent of all papers devoted to this theme.

2010 Mathematics Subject Classification.   20D15.

Key words and phrases.   Norm, ordinary quaternion group, Dedekindian groups, 2-groups of maximal class, 2-groups with nonabelian norm.

DOI: 10.3336/gm.47.1.12

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