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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Finite coverings by normal subgroups


Authors: M. A. Brodie, R. F. Chamberlain and L.-C. Kappe
Journal: Proc. Amer. Math. Soc. 104 (1988), 669-674
MSC: Primary 20F26; Secondary 20F24
DOI: https://doi.org/10.1090/S0002-9939-1988-0964841-9
MathSciNet review: 964841
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Abstract: B. H. Neumann's characterization of groups possessing a finite covering by proper subgroups and Baer's characterization of groups with finite coverings by abelian subgroups are refined to results about finite coverings by normal subgroups. Various corollaries about the structure of groups having such finite coverings are derived. Using the method employed for the main theorem, a simplified proof of an earlier result of the third author concerning finite coverings by word subgroups is given.


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DOI: https://doi.org/10.1090/S0002-9939-1988-0964841-9
Article copyright: © Copyright 1988 American Mathematical Society