| Autor: |
DEHKORDY, H. JAFARIAN, REZAEEZADEH, G. R., BIBAK, M. |
| Předmět: |
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| Zdroj: |
Journal of Mahani Mathematical Research Center; 2024, Vol. 13 Issue 1, p457-466, 10p |
| Abstrakt: |
Let G be a finite group. If A ≤ G, recall that A is weakly S-semipermutable in G provided there is K...G such that KEA is Spermutable in G, and K ∩ A is S-semipermutable in G. The purpose of this paper is to demonstrate that weakly S-semipermutability of special types of subgroups in a finite group G can help us to determine structural properties of G. For example, given a prime p, a p-soluble finite group G and a Sylow p-subgroup Gp of G, we will show that G is p-supersoluble if the maximal subgroups of Gp are weakly S-semipermutable in G. Moreover, we use the concept of weakly S-semipermutability to prove new criteria for p-nilpotency of finite groups. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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