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

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 Added by Ilia Ponomarenko
 Publication date 2016
  fields
and research's language is English




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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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