A family of permutation groups with exponentially many non-conjugated regular elementary abelian subgroups
| Autor: | Evdokimov, Sergei, Muzychuk, Mikhail, Ponomarenko, Ilia |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Algebra Analiz, 29, No.4, 46--53 (2017) (MR3708863) |
| Druh dokumentu: | Working Paper |
| Popis: | Given a prime $p$, we construct a permutation group containing at least $p^{p-2}$ non-conjugated regular elementary abelian subgroups of order $p^3$. This gives the first example of a permutation group with exponentially many non-conjugated regular subgroups. Comment: 6 pages |
| Databáze: | arXiv |
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