Geodesic
A family of permutation groups with exponentially many nonconjugated regular elementary Abelian subgroups
Algebra i analiz, Tome 29 (2017) no. 4, pp. 45-52.

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Given a prime $p$, a permutation group is constructed that contains at least $p^{p-2}$ nonconjugated regular elementary Abelian subgroups of order $p^3$. This gives the first example of a permutation group with exponentially many nonconjugated regular subgroups.
Keywords: permutation group, regular subgroup, polynomial over finite field. 
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S. Evdokimov; M. Muzychuk; I. Ponomarenko. A family of permutation groups with exponentially many nonconjugated regular elementary Abelian subgroups. Algebra i analiz, Tome 29 (2017) no. 4, pp. 45-52. http://geodesic.mathdoc.fr/item/AA_2017_29_4_a1/

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