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Classification of finite groups that admit an oriented regular representationMorris, JoyThis is the third, and last, of a series of papers dealing with oriented regular representations. Here we complete the classification of finite groups that admit an oriented regular representation ... (or ORR for short), and give a complete answer to a 1980 question of László Babai: "Which [finite] groups admit an oriented graph as a DRR"? It is easy to see and well understood that generalised dihedral groups do not admit ORRs. We prove that, with 11 small exceptions (having orders ranging from 8 to 64), every finite group that is not generalised dihedral has an ORR.Source: Bulletin of the London Mathematical Society. - ISSN 0024-6093 (Vol. 50, iss. 5, Oct. 2018, str. 811-831)Type of material - article, component part ; adult, seriousPublish date - 2018Language - englishCOBISS.SI-ID - 18628953
Author
Morris, Joy
Other authors
Spiga, Pablo
Topics
generalised dihedral groups |
Cayley digraph |
elementaren operator
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source: Bulletin of the London Mathematical Society. - ISSN 0024-6093 (Vol. 50, iss. 5, Oct. 2018, str. 811-831)
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