(G,D)-modules et algèbres de Clifford. ((G,D)-modules and Clifford algebras) (Q917655)

Let (G,X) be a Fischerian pair, i.e. (i) X is a subset of a group G which generates G; (ii) if \(x\in X\) then x is an involution; (iii) for each pair (x,y) of distinct elements of X the order of product xy is 2 or 3. The author proves that in this case there exists a K-algebra L canonically associated with this situation and he also shows that in certain cases, the algebra L is isomorphic to a Clifford algebra.