On the free profinite products of profinite groups with commuting subgroups
In this paper we introduce the construction of free profinite products of profinite groups withcommuting subgroups. We study a particular case: the proper free profinite products of profinite groups with commuting subgroups. We prove some conditions for a free profinite product of profinite groups w...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Isfahan
2016-06-01
|
| Series: | International Journal of Group Theory |
| Subjects: | |
| Online Access: | http://www.theoryofgroups.ir/article_6803_7c53bf5b29e9c1a021ea9b09dbacc42f.pdf |
| Summary: | In this paper we introduce the construction of free profinite products of profinite groups withcommuting subgroups. We study a particular case: the proper free profinite products of profinite groups with commuting subgroups. We prove some conditions for a free profinite product of profinite groups with commuting subgroups to be proper. We derive some consequences. We also compute profinite completions of free products of (abstract) groups with commuting subgroups. |
|---|---|
| ISSN: | 2251-7650 2251-7669 |