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http://hdl.handle.net/123456789/4543
Title: | On finite groups with Hall normally embedded Schmidt subgroups |
Authors: | Kniahina, V. N. Monakhov, V. S. |
Keywords: | finite group Hall subgroup normal subgroup derived subgroup nilpotent subgroup |
Issue Date: | 2018 |
Publisher: | ДЗ "ЛНУ імені Тараса Шевченка" |
Series/Report no.: | математичні науки; |
Abstract: | A subgroup H of a finite group G is said to be Hall normally embedded in G if there is a normal subgroup N of G such that H is a Hall subgroup of N. A Schmidt group is a non-nilpotent finite group whose all proper subgroups are nilpotent. In this paper, we prove that if each Schmidt subgroup of a finite group G is Hall normally embedded in G, then the derived subgroup of G is nilpotent. |
Description: | Kniahina V. N. On finite groups with Hall normally embedded Schmidt subgroups / V. N. Kniahina , V. S. Monakhov // Algebra and Discrete Mathematics. - 2018. - Vol. 26. - Number 1. - Рp. 90-96 |
URI: | http://hdl.handle.net/123456789/4543 |
Appears in Collections: | Algebra and Discrete Mathematics. - № 1 (26). - 2018 |
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