Regular subgroups with large intersection

Abstract

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.

Cited by in corpus (4)

• Rigid commutators and a normalizer chain
• A Chain of Normalizers in the Sylow $2$-subgroups of the symmetric group on $2^n$ letters
• Transfinite hypercentral iterated wreath product of integral domains
• Normality conditions in the Sylow $\mathbf{p}$-subgroup of $\mathrm{Sym}({\mathbf{p}}^{\mathbf{n}})$ and its associated Lie algebra