| Title: | On permutizers of subgroups of finite groups |
| Authors: | Vasil’ev, A.F. Vasil’ev, V.A. Vasil’eva, T.I. Васильев, А.Ф. Васильев, В.А. Васильев, Т.И. |
| Keywords: | permutizer of a subgroup supersoluble group w-supersoluble group P-subnormal subgroup permuteral subgroup strongly permuteral subgroup product of subgroups |
| Issue Date: | 2013 |
| Citation: | Vasil’ev, A.F. On permutizers of subgroups of finite groups / A.F. Vasil’ev, V.A. Vasil’ev, T.I. Vasil’eva // arXiv.org.math.GR. - 2013. - arXiv:1305.2630v1. - P. [1-11]. |
| Abstract: | Let H be a subgroup of a group G. The permutizer of H in G is the subgroup PG(H) = hx ∈ G | hxiH = Hhxii. A subgroup H of a group G is called permuteral in G, if PG(H) = G, and strongly permuteral in G, if PU(H) = U whenever H ≤ U ≤ G. Finite groups with given systems of permuteral and strongly permuteral subgroups are studied. New characterizations of w-supersoluble and supersoluble groups are received. |
| URI: | https://elib.gsu.by/handle123456789/73234 |
| Appears in Collections: | Статьи |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Vasil'ev_On_permutizers.pdf | 155.06 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.