Projective symplectic group:PSp(6,2)

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Definition

This group is defined in the following equivalent ways:

1. It is the projective symplectic group of degree six (i.e., arising from $6\times 6$ matrices) over field:F2. This is denoted $PSp(6,2)$ and the Chevalley notation is $B_{3}(2)$.
2. It is the symplectic group of degree six (i.e., arising from $6\times 6$ matrices) over field:F2. This is denoted $Sp(6,2)$.

Equivalence of definitions

The equivalence of (1) and (2) follows from isomorphism between symplectic and projective symplectic group in characteristic two.

GAP implementation

Description	Functions used
PSp(6,2)	PSp
Sp(6,2)	Sp