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An Example of Non-isomorphic Group Association Schemes with the same Parameters

✍ Scribed by Satoshi Yoshiara

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 402 KB
Volume: 18
Category: Article
ISSN: 0195-6698
DOI: 10.1006/eujc.1996.0131

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✦ Synopsis

It is shown that the group association scheme for the split extension of 2 3 by SL 3 (2) is not isomorphic to that for the non-split extension , although they have the same set of parameters (intersection numbers) .

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✍ Sachiyo Terada 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 204 KB

We show that for the split and non-split extensions of F 2 q by S L(2, q) (q = 2 e , e ≥ 3), the group association schemes have the same parameters but are not isomorphic. For the split and non-split extensions of F 2 q by the standard Borel subgroup of S L(2, q) (q = 2 e , e ≥ 3), the group associa