A Cayley graph Γ=Cay(G, S) is called a graphical regular representation of the group G if AutΓ=G. One long-standing open problem about Cayley graphs is to determine which Cayley graphs are graphical regular representations of the corresponding groups. A simple necessary condition for Γ to...
Given a finite group R, a graphical regular representation of R is a Cayley graph Γ over R with R = Aut(Γ). In this paper we study graphical regular representations of finite non-abelian simple groups of small valency.doi:10.1080/00927872.2017.1383997Spiga...
3) regular power group 正则幂群4) regular representation 正则表示 1. In this paper, by the left translation action of the uniform hypergroups, the regular representation and the matrix representation of a uniform hypergroups are given. 通过一致幂群在其自身上的左平移作用,给出了一致幂群的...
Taylor & Francis GroupCommunications in AlgebraA.B. Carson, Representations of regular rings of finite index - II , Comm. Algebra 21 (1993), 4173–4177. MathSciNet MATHA. B. Carson, “Representation of regular rings of finite index,” J. Algebra, 39 , No. 2, 512–526 (1976)....
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In this paper we give a partial answer to a 1980 question of Lazslo Babai: "Which [finite] groups admit an oriented graph as a DRR?" That is, which finite groups admit an oriented regular representation (ORR)? We show that every finite non-solvable group admits an ORR, and provide a...
6) regular representation of compact group 紧群的正则表示 补充资料:正则表示 正则表示 regular representation 正则表示[此g山rr月声e别”妞d阅;pery几.p皿oe .pe八c-T侧e.皿e] l)代数A的(左)正则表示((left)r咫问ar即-哪ental如n ofan拟罗bm)是A在向量空间E=A上的线性表示(!」1城址比p比senta...
On a Conjecture of Kahn for the Stiefel–Whitney Classes of the Regular Representation 来自 Elsevier 喜欢 0 阅读量: 15 作者: PA Minh 摘要: The factor set of this extension is of form z s Z z1, . . . , zm. g H 2Z K, A.s H 2Z K .[m, with z1, . . . , zm a ...
1) finite regular p-group 有限正则p-群 2) regular p-groups 正则p-群 1. Using theory of finiteregular p-groupsand locally nilpotent groups, we get that if G is soluble and each proper infinite subgroupsis regular, and G is an extension of divisible abelian p-group of rank p-1 by a...
"Some BIG string")> <!--- The valueofIndexOfOccurrence is5---> The following table shows the character classes that ColdFusion supports. Regular expressions using these classes match any Unicode character in the class, not just ASCII or ISO-8859 characters. ...