Generators of Order two for B$_n$ and three of its Double Covers

Abstract: In this paper the minimum number of involutions required to generate either the Hyperoctrahedral Group $B_n$ or three of its seven double covers are calculated. In addition explicit multiplications for the three particular double covers are introduced, along with specific generators, of order two, for each of the groups.

Keywords: Hyperoctrahedral Group ; double covers; involutions

Classification (MSC91): 20F05

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