A four-class subscheme of the association scheme coming from the action of P G L (2, 4f)

Hajime Tanaka

doi:10.1006/eujc.2001.0511

A four-class subscheme of the association scheme coming from the action of P G L (2, 4^f)

Hajime Tanaka

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

Let Ω denote the set of two-element subsets of the projective line PG(1, q), where q = 2^e, e > 1. The character table of the association scheme X (PGL(2, q), Ω) is calculated. Then by using this character table, we prove that the conjectured subscheme of de Caen and van Dam is indeed an association scheme.

Original language	English
Pages (from-to)	121-129
Number of pages	9
Journal	European Journal of Combinatorics
Volume	23
Issue number	1
DOIs	https://doi.org/10.1006/eujc.2001.0511
Publication status	Published - 2002
Externally published	Yes

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics

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10.1006/eujc.2001.0511

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abstract = "Let Ω denote the set of two-element subsets of the projective line PG(1, q), where q = 2e, e > 1. The character table of the association scheme X (PGL(2, q), Ω) is calculated. Then by using this character table, we prove that the conjectured subscheme of de Caen and van Dam is indeed an association scheme.",

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AB - Let Ω denote the set of two-element subsets of the projective line PG(1, q), where q = 2e, e > 1. The character table of the association scheme X (PGL(2, q), Ω) is calculated. Then by using this character table, we prove that the conjectured subscheme of de Caen and van Dam is indeed an association scheme.

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A four-class subscheme of the association scheme coming from the action of P G L (2, 4^f)

Abstract

ASJC Scopus subject areas

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