Abnormal subgroups and Carter subgroups in some infinite groups

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dc.creatorKurdachenko, L. A.
dc.creatorSubbotin, I. Ya.
dc.date2004-05-17
dc.date.accessioned2026-07-07T05:08:21Z
dc.date.available2026-07-07T05:08:21Z
dc.descriptionSome properties of abnormal subgroups in generalized soluble groups will be considered. In particular, the transitivity of abnormality in metahypercentral groups is proven. Also it will be proven that a subgroup H of a radical group G is abnormal in G if and only if every intermediate subgroup for H coincides with its normalizer in G. This result will extend on radical groups the well-known criterion of abnormality for finite soluble groups obtained by D. Taunt. For some infinite groups (not only periodic) the existence of Carter subgroups and their conjugations will be also proven.
dc.identifierhttps://arxiv.org/abs/math/0405336
dc.identifierhttp://arxiv.org/abs/math/0405336
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71226
dc.subjectGroup Theory
dc.subject20E34, 20F19, 20F22
dc.titleAbnormal subgroups and Carter subgroups in some infinite groups
dc.typetext

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