Moufang loops with commuting inner mappings |
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| Authors: | Gábor P Nagy |
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| Institution: | a SZTE Bolyai Institute, Department of Geometry, Aradi vértanúk tere 1, H-6720 Szeged, Hungary
b Department of Mathematics, University of Denver, 2360 S Gaylord Street, Denver, CO, 80208, USA |
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| Abstract: | We investigate the relation between the structure of a Moufang loop and its inner mapping group. Moufang loops of odd order with commuting inner mappings have nilpotency class at most 2. The 6-divisible Moufang loops with commuting inner mappings have nilpotency class at most 2. There is a Moufang loop of order 214 with commuting inner mappings and of nilpotency class 3. |
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| Keywords: | Primary 20N05 |
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