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Mathematical logic, algebra and number theory
Associations scheme with nonconstant intersection numbers, associated with group $SL_2(q)$
I. T. Mukhametyanov Lysva branch of Perm National Research Polytechnic University, 2, Lenina st., Lysva, 618900, Perm kray, Russia
Abstract:
Considered one of generalizations of association schemes, with variability of intersection numbers is allowed. Generalization of scheme is considered on set of elements of prime order $p$ of group $SL_2(q)$ where $q$ is a degree of $p$. Intersection numbers of this scheme are calculated and intersection arrays of it's graphs are found.
Keywords:
association scheme, intersection numbers, group, distance-regular graph.
Received April 9, 2018, published May 17, 2019
Citation:
I. T. Mukhametyanov, “Associations scheme with nonconstant intersection numbers, associated with group $SL_2(q)$”, Sib. Èlektron. Mat. Izv., 16 (2019), 648–672
Linking options:
https://www.mathnet.ru/eng/semr1084 https://www.mathnet.ru/eng/semr/v16/p648
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Abstract page: | 221 | Full-text PDF : | 122 | References: | 23 |
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