The automorphism group of a class of semi-groups |
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| Authors: | Prof George Szeto |
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| Institution: | 1. Department of Mathematics, Bradley University, 61606, Peoria, IL, USA
2. Department of Mathematics, The University of Chicago, 60637, Chicago, IL, USA
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| Abstract: | Let (S,·) be a semi-group having the following properties: (1)S=∪S α where α is in some index setI andS α are subgroups isomorphic to each other, (2)S α∩S β=Ø, a void set for α≠β and (3) the identity ofS α is a left identity ofS for each α inI. Then the automorphism group Aut (S) ofS is studied from the point of category theory. It is proved that Aut (S) is determined by Aut (S α) and right multiplications by the identities of groupsS α. |
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