Regular subgroups with large intersection
arXiv:1811.05936v2
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This work addresses theoretical group theory problems relevant to cryptography researchers, but appears incremental as it builds on existing interest in these subgroups.
The paper investigates the connections between elementary abelian regular subgroups and Sylow 2-subgroups of their normalizers in the symmetric group over binary vector spaces, motivated by applications in symmetric cryptography.
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.