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Automorphisms and Inner Automorphisms
Let K be a field of characteristic not 2 and let A = A0 + A1 be central simple superalgebra over K, and let * be superinvolution on A. Our main purpose is to classify the group of automorphisms and inner automorphisms of (A, *) (i.e., commuting with *) by using the classical theoremof Skolem-Noether. Also we study two examples of groups of automorphisms and inner automorphisms on even central simple superalgebras with superinvolutions.
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