Generalised dihedral CI-groups

被引：5

作者：

Dobson, Ted ^{[1
,2
]}

Muzychuk, Mikhail ^{[3
]}

Spiga, Pablo ^{[4
]}

机构：

[1] Univ Primorska, UP IAM, Muzejski Trg 2, SI-6000 Koper, Slovenia

[2] Univ Primorska, UP FAMNIT, Glagoljaska 8, SI-6000 Koper, Slovenia

[3] Ben Gurion Univ Negev, Dept Math, Negev, Israel

[4] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, Via Cozzi 55, I-20125 Milan, Italy

来源：

ARS MATHEMATICA CONTEMPORANEA | 2022年 / 22卷 / 02期

关键词：

CI-group; DCI-group; generalised dihedral; Cayley isomorphism; ISOMORPHISM-PROBLEM; ADAMS CONJECTURE; CAYLEY-GRAPHS; RESTRICTIONS; PROPERTY; RANK;

D O I：

10.26493/1855-3974.2443.02e

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we find a strong new restriction on the structure of CI-groups. We show that, if R is a generalised dihedral group and if R is a CI-group, then for every odd prime p the Sylow p-subgroup of R has order p, or 9. Consequently, any CI-group with quotient a generalised dihedral group has the same restriction, that for every odd prime p the Sylow p-subgroup of the group has order p, or 9.

引用

页数：18

共 33 条

[1]

BABAI L, 1977, ACTA MATH ACAD SCI H, V29, P329

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