On Finite Nonabelian Loop Capable Groups |
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| Authors: | Emma Leppälä Markku Niemenmaa |
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| Institution: | 1. Department of Mathematical Sciences, University of Oulu, Oulu, Finlandemma.leppala@oulu.fi;3. Department of Mathematical Sciences, University of Oulu, Oulu, Finland |
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| Abstract: | We say that groups, which are isomorphic to inner mapping groups of finite loops, are loop capable. Let p and q be distinct prime numbers, S a nonabelian group of order pq, and C a finite nontrivial cyclic group such that gcd (|S|, |C|) = 1. We show that the group S × C is not loop capable. |
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| Keywords: | Inner mapping group Loop capable group |
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