Asymptotic automorphism groups of Cayley digraphs and graphs of abelian groups of prime-power order

被引：7

作者：

Dobson, Edward ^{[1
]}

机构：

[1] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA

来源：

ARS MATHEMATICA CONTEMPORANEA | 2010年 / 3卷 / 02期

关键词：

Cayley graph; abelian group; automorphism group; asymptotic; p-group; TRANSITIVE PERMUTATION-GROUPS; SCHUR RINGS;

D O I：

10.26493/1855-3974.120.c55

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that almost every Cayley graph Gamma of an abelian group G of odd prime-power order has automorphism group as small as possible. Additionally, we show that almost every Cayley (di)graph Gamma of an abelian group G of odd prime-power order that does not have automorphism group as small as possible is a normal Cayley (di)graph of G (that is, G(L)(sic)Aut(Gamma)).

引用

页码：201 / 214

页数：14

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