Groups Factorized by Pairwise Permutable Abelian Subgroups of Finite Rank
It is proved that a group which is the product of pairwise permutable abelian subgroups of finite Prüfer rank is hyperabelian with finite Prüfer rank; in the periodic case the Sylow subgroups of such a product are described. Furthermore, if $G = ABC$ is such a non-periodic product with locally cycli...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Aracne
2016-12-01
|
| Series: | Advances in Group Theory and Applications |
| Subjects: | |
| Online Access: | http://www.advgrouptheory.com/journal/Volumes/2/B.%20Amberg,%20Y.P.%20Sysak%20-%20Groups%20factorized%20by%20pairwise%20permutable%20abelian%20subgroups%20of%20finite%20rank.pdf |