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A Pair of Families of Non-isomorphic Group Association Schemes with the same Parameters

✍ Scribed by Sachiyo Terada

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
204 KB
Volume
21
Category
Article
ISSN
0195-6698

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✦ Synopsis

We show that for the split and non-split extensions of F 2 q by S L(2, q) (q = 2 e , e β‰₯ 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 β‰₯ 3), the group association schemes are shown to be isomorphic.

πŸ“œ SIMILAR VOLUMES

An Example of Non-isomorphic Group Assoc
An Example of Non-isomorphic Group Association Schemes with the same Parameters
✍ Satoshi Yoshiara πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 402 KB

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) .