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arXiv · 1609.08467

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

Sergei Evdokimov·Mikhail Muzychuk·Ilia Ponomarenko
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Abstract

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.

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Sergei Evdokimov, Mikhail Muzychuk, Ilia Ponomarenko. 2016-09-27. A family of permutation groups with exponentially many non-conjugated regular elementary abelian subgroups. https://arxiv.org/abs/1609.08467

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