The automorphism-order in finite groups |
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Authors: | H Finkelstein |
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Institution: | (1) Department of Mathematics, Emory University, 30322 Atlanta, GA, USA |
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Abstract: | The notion of automorphism-order is introduced as a generalization of elemental order in finite groups. Some theorems involving orders of elements are then generalized. Divisibility properties involving this concept are considered. Necessary and sufficient conditions for an abelian group to be represented by number-theoretic functions involving divisibility properties are given. Explicit formulas of these functions are also given. |
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Keywords: | Primary 20D45 Secondary 20K30 |
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