Hall operators on the set of formations of finite groups
Let \(\pi\) be a nonempty set of primes and let \(\frak{F}\) be a saturated formation of all finite soluble \(\pi\)-groups. It is constructed the saturated formation consisting of all finite \(\pi\)-soluble groups whose \(\frak{F}\)-projectors contain a Hall \(\pi\)-subgroup.
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| Date: | 2018 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/622 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| Summary: | Let \(\pi\) be a nonempty set of primes and let \(\frak{F}\) be a saturated formation of all finite soluble \(\pi\)-groups. It is constructed the saturated formation consisting of all finite \(\pi\)-soluble groups whose \(\frak{F}\)-projectors contain a Hall \(\pi\)-subgroup. |
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