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Journal of Group Theory

Editor-in-Chief: Parker, Christopher W.

Managing Editor: Wilson, John S. / Khukhro, Evgenii I. / Kramer, Linus

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Generalizing Baer’s norm

Mark L. Lewis / M. Zarrin
Published Online: 2018-08-08 | DOI: https://doi.org/10.1515/jgth-2018-0031


Let G be a group and n a positive integer. We define Bn(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 Bn(G).


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About the article

Received: 2018-04-08

Revised: 2018-07-22

Published Online: 2018-08-08

Citation Information: Journal of Group Theory, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/jgth-2018-0031.

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