Formations of Finite Groups in Polynomial Time: the $\mathfrak{F}$-Radical
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909260041945088 |
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| author | Murashka, Viachaslau I. |
| author_facet | Murashka, Viachaslau I. |
| contents | For a Baer-local (composition) Fitting formation $\mathfrak{F}$ the polynomial time algorithm for the computation of the $\mathfrak{F}$-radical of a permutation group is suggested. In particular it is showed how one can compute the $\mathfrak{F}$-radical in case when $\mathfrak{F}$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_12720 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Formations of Finite Groups in Polynomial Time: the $\mathfrak{F}$-Radical Murashka, Viachaslau I. Group Theory 20D10, 20B40 For a Baer-local (composition) Fitting formation $\mathfrak{F}$ the polynomial time algorithm for the computation of the $\mathfrak{F}$-radical of a permutation group is suggested. In particular it is showed how one can compute the $\mathfrak{F}$-radical in case when $\mathfrak{F}$ 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. |
| title | Formations of Finite Groups in Polynomial Time: the $\mathfrak{F}$-Radical |
| topic | Group Theory 20D10, 20B40 |
| url | https://arxiv.org/abs/2407.12720 |