On pseudocyclic association schemes

被引：0
|
作者：
Muzychuk, Mikhail [1 ]
Ponomarenko, Ilya [2 ]
机构：
[1] Netanya Acad Coll, Netanya, Israel
[2] VA Steklov Math Inst, St Petersburg 191011, Russia
来源：
ARS MATHEMATICA CONTEMPORANEA | 2012年 / 5卷 / 01期
关键词：
Association schemes; Pseudocyclic schemes; Frobenius groups; PERMUTATION-GROUPS; CYCLOTOMIC SCHEMES; POINTS; ORDER;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The notion of a pseudocyclic association scheme is generalized to the non-commutative case. It is proved that any pseudocyclic scheme the rank of which is much more than the valency is the scheme of a Frobenius group and is uniquely determined up to isomorphism by its intersection number array. An immediate corollary of this result is that any scheme of prime degree, valency k and rank at least k(4) is schurian.
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页码：1 / 25
页数：25
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