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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Graphs associated with a group


Author: R. J. Plemmons
Journal: Proc. Amer. Math. Soc. 25 (1970), 273-275
MSC: Primary 05.62
DOI: https://doi.org/10.1090/S0002-9939-1970-0263705-2
MathSciNet review: 0263705
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Abstract: It is shown that every group is isomorphic to a maximal group of graphs under the operation of graph product. In addition, maximal groups associated with an order graph are investigated.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1970-0263705-2
Keywords: Automorphism group, directed graph, graph product, idempotent graph, maximal group of graphs, partial order graph, reduced graph
Article copyright: © Copyright 1970 American Mathematical Society