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Albuquerque and Majid have shown how to view Clifford algebras $\cl_{p,q}$ astwisted group rings whereas Chernov has observed that Clifford algebras can beviewed as images of group algebras of certain 2-groups modulo an idealgenerated by a nontrivial central idempotent. Ablamowicz and Fauser haveintroduced a special transposition anti-automorphism of $\cl_{p,q}$, which theycalled a "transposition", which reduces to reversion in algebras $\cl_{p,0}$and to conjugation in algebras $\cl_{0,q}$. The purpose of this paper is tobring these concepts together in an attempt to investigate how the algebraicproperties of real Clifford algebras, including their periodicity of eight, area direct consequence of the central product structure of Salingaros vee groupsviewed as 2-groups.

On Clifford Algebras and Related Finite Groups and Group Algebras