Groups with many Subgroups which are Commensurable with some Normal Subgroup

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...

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Bibliographic Details
Main Authors: Ulderico Dardano, Silvana Rinauro
Format: Article
Language:English
Published: Aracne 2019-06-01
Series:Advances in Group Theory and Applications
Subjects:
Online Access:http://www.advgrouptheory.com/journal/Volumes/7/Dardano,%20Rinauro%20-%20Groups%20with%20many%20subgroups%20which%20are%20commensurable%20with%20some%20normal%20subgroup.pdf