Riccardo Aragona, Roberto Civino, Norberto Gavioli, Carlo Maria Scoppola
Published 2018-11-14Version 1
In this paper we study the relationships between the elementary abelian regular subgroups and the Sylow $2$-subgroups of their normalisers in the symmetric group $\mathrm{Sym}(\mathbb{F}_2^n)$, in view of the interest that they have recently raised for their applications in symmetric cryptography.
A Chain of Normalizers in the Sylow $2$-subgroups of the symmetric group on $2^n$ letters
The proportion of derangements characterizes the symmetric group
The Girth of Cayley graphs of Sylow 2-subgroups of symmetric groups $S_{2^n}$ on diagonal bases
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