FINITE GROUPS WHOSE ALL PROPER SUBGROUPS ARE GPST-GROUPS
Keywords:
Wielandt set, GPST-group, supersoluble group, power automorphism, permutable subgroupAbstract
A set W = {W1, . . . , Wt} of nilpotent Hall subgroups of G is a complete Wielandt set if (|Wi|,|Wj) = 1 for all i,j. A finite group G is called a GPST-group if G has a complete Wielandt set \(\mathcal{W}\) such that every member in \(\mathcal{W}\) permutes all maximal subgroups of any non-cyclic subgroup S in \(\mathcal{W}\). In this paper, we give a complete classification of those groups which are not GPST-groups but all of whose proper subgroups are GPST-groups, i.e., they are precisely minimal non-PST-groups.
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Published
2018-07-31
How to Cite
Guo, P., & Yang, Y. (2018). FINITE GROUPS WHOSE ALL PROPER SUBGROUPS ARE GPST-GROUPS. Italian Journal of Pure and Applied Mathematics, 40, 600–606. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6984
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Section
Articoli - Forum Editrice
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Copyright (c) 2018 Pengfei Guo, Yue Yang
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
