Finite coverings by normal subgroups-Reference-Cited by-同舟云学术

Finite coverings by normal subgroups

Published:1988 Issue:3 Volume:104 Page:669-674
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Brodie M. A.,Chamberlain R. F.,Kappe L.-C.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1988-104-03/S0002-9939-1988-0964841-9/S0002-9939-1988-0964841-9.pdf

Reference9 articles.

1. Solvable groups with certain finite homomorphic images cyclic;Chamberlain, Robert F.;Arch. Math. (Basel),1988

2. Nilpotent groups with every finite homomorphic image cyclic;Chamberlain, R. F.;Arch. Math. (Basel),1987

3. Nilpotente Gruppen, deren sämtliche Normalteiler charakteristisch sind;Heineken, Hermann;Arch. Math. (Basel),1979

4. Coverings by word subgroups;Kappe, Luise-Charlotte;Arch. Math. (Basel),1971

5. P. G. Kontorovič, Invariantly covered groups, Mat. Sb. 8 (1940), 423-436.

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