| Title: | Formations of Finite Groups in Polynomial Time: the F-Radical |
| Authors: | Murashka, V.I. Мурашко, В.И. |
| Keywords: | Finite group permutation group computation Baer-local formation Fitting formation F-radical polynomial time algorithm |
| Issue Date: | 2024 |
| Citation: | Murashka, V.I. Formations of Finite Groups in Polynomial Time: the F-Radical / V.I. Murashka // arXiv.org.math.GR. - 2024. - arXiv:2407.12720v1. - P. [1-8]. |
| Abstract: | For a Baer-local (composition) Fitting formation F the polynomial time algorithm for the computation of the F-radical of a permutation group is suggested. In particular it is showed how one can compute the F-radical in case when F is a primitive saturated formation of soluble groups. Moreover, the polynomial time algorithms for the computation of different lengthes associated with a group are presented. |
| URI: | https://elib.gsu.by/handle123456789/73457 |
| Appears in Collections: | Статьи |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Murashka_Formations.pdf | 139.25 kB | Adobe PDF | View/Open |
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