A family of permutation groups with exponentially many non-conjugated regular elementary abelian subgroups

Autor: Evdokimov, Sergei, Muzychuk, Mikhail, Ponomarenko, Ilia
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