Generalizing Baer’s norm

Author:

Lewis Mark L.,Zarrin M.

Abstract

Abstract Let G be a group and n a positive integer. We define {B_{n}(G)} to be the intersection of the normalizers of all the non-n-subnormal subgroups of G. We give a new characterization for nilpotent groups in terms of a series defined via {B_{n}(G)} .

Publisher

Walter de Gruyter GmbH

Subject

Algebra and Number Theory

Reference14 articles.

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2. Alternate proof of the Reinhold Baer theorem on 2-groups with nonabelian norm;Glas. Mat. Ser. III,2012

3. Alternate proof of the Reinhold Baer theorem on 2-groups with nonabelian norm;Glas. Mat. Ser. III,2012

4. Group elements of prime power index;Trans. Amer. Math. Soc.,1953

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