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Groups with many Subgroups which are Commensurable with some Normal Subgroup
- Source :
- Advances in Group Theory and Applications, Vol 7, Pp 3-13 (2019)
- Publication Year :
- 2019
- Publisher :
- Aracne, 2019.
-
Abstract
- A subgroup H of a group G is called commensurable with a normal subgroup (cn) if there is N C G such that |HN/(H ∩ N)| is finite. We characterize generalized radical groups G which have one of the following finiteness conditions: (A) the minimal condition on non-cn subgroups of G; (B) the non-cn subgroups of G fall into finitely many conjugacy classes; (C) the non-cn subgroups of G have finite rank.
Details
- Language :
- English
- ISSN :
- 24991287
- Volume :
- 7
- Database :
- Directory of Open Access Journals
- Journal :
- Advances in Group Theory and Applications
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.3a20494c6b204574aa39b9e717de78eb
- Document Type :
- article
- Full Text :
- https://doi.org/10.32037/agta-2019-002