NDLI: Algebraic structure of association schemes of prime order

Content Provider	Springer Nature Link
Author	Hanaki, Akihide
Copyright Year	2006
Abstract	Finite groups of prime order must be cyclic. It is natural to ask what about association schemes of prime order. In this paper, we will give an answer to this question. An association scheme of prime order is commutative, and its valencies of nontrivial relations and multiplicities of nontrivial irreducible characters are constant. Moreover, if we suppose that the minimal splitting field is an abelian extension of the field of rational numbers, then the character table is the same as that of a Schurian scheme.
Starting Page	189
Ending Page	195
Page Count	7
File Format	PDF
ISSN	09259899
Journal	Journal of Algebraic Combinatorics
Volume Number	23
Issue Number	2
e-ISSN	15729192
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2006-01-01
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Association scheme Prime order Cyclotomic scheme Character Computer Science Group Theory and Generalizations Order, Lattices, Ordered Algebraic Structures Combinatorics Convex and Discrete Geometry
Content Type	Text
Resource Type	Article
Subject	Discrete Mathematics and Combinatorics Algebra and Number Theory

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Algebraic structure of association schemes of prime order