We study groups in which each subnormal subgroup is commensurable with a normal subgroup. Recall that two subgroups and are termed commensurable if H-KHcap K has finite index in both and . Among other results, we show that if a (sub)soluble group has the above property, then is finite-by-metabelian, i.e., GG{} is finite.
Groups in which each subnormal subgroup is commensurable with some normal subgroup / Dardano, U.; De Mari, F.. - In: JOURNAL OF GROUP THEORY. - ISSN 1433-5883. - 24:4(2021), pp. 819-834. [10.1515/jgth-2020-0076]
Groups in which each subnormal subgroup is commensurable with some normal subgroup
Dardano U.
;De Mari F.
2021
Abstract
We study groups in which each subnormal subgroup is commensurable with a normal subgroup. Recall that two subgroups and are termed commensurable if H-KHcap K has finite index in both and . Among other results, we show that if a (sub)soluble group has the above property, then is finite-by-metabelian, i.e., GG{} is finite.File in questo prodotto:
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