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https://doi.org/10.3336/gm.47.1.12

Alternate proof of the Reinhold Baer theorem on 2-groups with nonabelian norm

Yakov Berkovich ; Department of Mathematics, University of Haifa, Mount Carmel, Haifa 31905, Israel


Puni tekst: engleski pdf 83 Kb

str. 149-152

preuzimanja: 403

citiraj


Sažetak

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.

Ključne riječi

Norm, ordinary quaternion group, Dedekindian groups, 2-groups of maximal class, 2-groups with nonabelian norm

Hrčak ID:

82578

URI

https://hrcak.srce.hr/82578

Posjeta: 809 *