Two subgroups H and K of a group are commensurable iff H ∩ K has finite index in both H and K. We prove that hyper-(abelian or finite) groups with finite abelian total rank in which every subgroup is commensurable to a normal one are finite-by-abelian-by-finite.
A class of groups with inert subgroups / Dardano, Ulderico; S., Rinuaro. - (2012). ( ISCHIA GROUP THEORY 2012 Conference Ischia (NA), I 26/3/2012).
A class of groups with inert subgroups.
DARDANO, ULDERICO;
2012
Abstract
Two subgroups H and K of a group are commensurable iff H ∩ K has finite index in both H and K. We prove that hyper-(abelian or finite) groups with finite abelian total rank in which every subgroup is commensurable to a normal one are finite-by-abelian-by-finite.File in questo prodotto:
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