THE COMMUTING GRAPH ON THE FIBONACCI ORBITS OF GROUPS

被引：0

作者：

Hashemi, Rasool ^{[1
]}

机构：

[1] NAS Azerbaijan, Inst Math & Mech, 9 Agayev Str, AZ-1141 Baku, Azerbaijan

来源：

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2011年 / 35卷 / 43期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a non-empty subset X of a finite group G, the commuting graph of G on X, denoted by C (G; X), is a graph with the vertex set X and two distinct vertices a and b are adjacent if a b = b a. In this paper we examine this graph when X = {x(1), x(2,) ...,x(1)} is the Fibonacci orbit of a class of metabelian groups.

引用

页码：33 / 38

页数：6

共 50 条

[1] Commuting graph of A-orbits
Gilloglu, Ismail S.
Ercan, Gulin
JOURNAL OF GROUP THEORY, 2021, 24 (03) : 573 - 586
[2] ON A COMMUTING GRAPH ON CONJUGACY CLASSES OF GROUPS
Herzog, Marcel
Longobardi, Patrizia
Maj, Mercede
COMMUNICATIONS IN ALGEBRA, 2009, 37 (10) : 3369 - 3387
[3] The commuting graph of minimal nonsolvable groups
Segev, Y
GEOMETRIAE DEDICATA, 2001, 88 (1-3) : 55 - 66
[4] Infinite groups with isomorphic power graph and commuting graph
Surbhi
Venkataraman, Geetha
arXiv,
[5] The Commuting Graph of Minimal Nonsolvable Groups
Yoav Segev
Geometriae Dedicata, 2001, 88 : 55 - 66
[6] Distance in the non-commuting graph of groups
Azad, Azizolla
Eliasi, Mehdi
ARS COMBINATORIA, 2011, 99 : 279 - 287
[7] On the commuting graph associated with the symmetric and alternating groups
Iranmanesh, A.
Jafarzadeh, A.
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2008, 7 (01) : 129 - 146
[8] Groups with the same non-commuting graph
Darafsheh, M. R.
DISCRETE APPLIED MATHEMATICS, 2009, 157 (04) : 833 - 837
[9] FINITE GROUPS WHOSE COMMUTING GRAPH IS SPLIT
Ma, Xuanlong
Cameron, Peter J.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2024, 30 (01): : 280 - 283
[10] ON COMMUTING ELEMENTS AND EMBEDDINGS OF GRAPH GROUPS AND MONOIDS
Kambites, Mark
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2009, 52 : 155 - 170

← 1 2 3 4 5 →