On the structure of the automorphism group of certain automorphic loop |
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| Authors: | Maria de Lourdes Merlini Giuliani Giliard Souza dos Anjos |
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| Institution: | 1. Center of Mathematics, Computation and Cognition, Universidade Federal do ABC, Santo André, S?o Paulo, Brazilmaria.giuliani@ufabc.edu.br;3. Center of Mathematics, Computation and Cognition, Universidade Federal do ABC, Santo André, S?o Paulo, Brazil |
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| Abstract: | Automorphic loops, or A-loops, are loops in which all inner mappings are automorphisms. We investigated A-loops arising from a Lie algebra and describe their automorphism group. Also, we identify and describe their inner mapping group. |
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| Keywords: | A-loops automorphism group of A-loops inner mapping group loops |
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