Tournaments with prescribed regular automorphism group |
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| Authors: | C D Godsil |
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| Institution: | (1) Department of Mathematics, Simon Fraser University, V5A 1S6 Burnaby, BC, Canada |
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| Abstract: | A tournamentX is a TRR for a groupG if (a)G acts regularly on the vertices ofX and (b) Aut(X) is isomorphic toG. We correct some previous work of Babai and Imrich by showing thatZ
2
3
andZ
3
3
are the only groups of odd order without TRR's. Our methods are perhaps of independent interest, since we use a probabilistic approach. |
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| Keywords: | Primary 05C25 |
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