A Pair of Families of Non-isomorphic Group Association Schemes with the same Parameters |
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| Authors: | Sachiyo Terada |
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| Institution: | Division of Mathematics and Computational Science, Graduate School of Natural Science and Technology, Kanazawa University, Kakuma-machi, Kanazawa 920-1192, Japan |
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| Abstract: | We show that for the split and non-split extensions ofFq2bySL (2, q) (q = 2e,e ≥ 3), the group association schemes have the same parameters but are not isomorphic. For the split and non-split extensions ofFq2by the standard Borel subgroup of SL(2,q ) (q = 2e, e ≥ 3), the group association schemes are shown to be isomorphic. |
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