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Title: | Fitting classes with given properties of Hall subgroups |
Authors: | Zagurskii, V. N. Vorob’ev, N. T. |
Keywords: | Hall subgroup formation of finite groups local formation Fitting class Hartley function Lockett class Sylow subgroup |
Issue Date: | 2005 |
Publisher: | Pleiades Publishing, Ltd. |
Citation: | Zagurskii, V. N. Fitting classes with given properties of Hall subgroups / V. N. Zagurskii, N. T. Vorob’ev // Mathematical Notes. – 2005. – Vol. 78, № 1-2. – Р. 213–218. |
Series/Report no.: | Mathematical Notes;Vol. 78, № 1/2 |
Abstract: | In the theory of formations of finite solvable groups, there is a well-known result due to Blessenohl claiming that, for any local formation F, the class of groups for which every Hall π -subgroup belongs to F also is a local formation. In the present paper, we obtain a result exactly dual to that indicated in the theory of Fitting classes. We prove that if a Fitting class F is local, then the class of all groups all of whose Hall π -subgroups belong to F is also local. |
URI: | https://rep.vsu.by/handle/123456789/33240 |
ISSN: | 0001-4346 |
Appears in Collections: | Научные публикации (2005) |
Files in This Item:
File | Description | Size | Format | |
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mat. notes_2005_78_02.pdf | 141.84 kB | Adobe PDF | View/Open |
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