An algorithm for automorphisms of infinite dimensional Grassmann algebras


Akdoğan, Nazan


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Let G be the infinite dimensional Grassmann algebra. In this study, we determine a subgroup of the automorphism group \text{\rm Aut}(G) of the algebra G which is of an importance in the description of the group \text{\rm Aut}(G). We give an infinite generating set for this subgroup and suggest an algorithm which shows how to express each automorphism as compositions of generating elements.

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Akdoğan, Nazan