Abstract
LetKbe a field of characteristic not2and letA=A0+A1be central simple superalgebra overK, and let⁎be superinvolution onA. Our main purpose is to classify the group of automorphisms and inner automorphisms of(A,⁎)(i.e., commuting with⁎) by using the classical theorem of 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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