scholarly journals Hamilton decompositions of certain 6-regular Cayley graphs on Abelian groups with a cyclic subgroup of index two

2012 ◽  
Vol 312 (22) ◽  
pp. 3228-3235 ◽  
Author(s):  
Erik E. Westlund
Keyword(s):  
Cyclic Subgroup ◽  
Abelian Groups ◽  
Cayley Graphs ◽  
Hamilton Decompositions

Some properties of subgroup complementary addition Cayley graphs on abelian groups

2021 ◽  
Author(s):  
Naveen Palanivel ◽  
Chithra A. Velu
Keyword(s):  
Cayley Graph ◽  
Abelian Groups ◽  
Cayley Graphs ◽  
Graph Invariants

In this paper, we introduce subgroup complementary addition Cayley graph [Formula: see text] and compute its graph invariants. Also, we prove that [Formula: see text] if and only if [Formula: see text] for all [Formula: see text] where [Formula: see text].

On the Morava K-theory of some finite 2-groups

1997 ◽  
Vol 121 (1) ◽  
pp. 7-13 ◽  
Author(s):  
BJÖRN SCHUSTER
Keyword(s):  
Finite Group ◽  
Sylow Subgroup ◽  
Cyclic Subgroup ◽  
Abelian Groups ◽  
Wreath Products ◽  
Classifying Space ◽  
Generalized Cohomology ◽  
K Theory ◽  
A Finite Group ◽  
Generalized Quaternion

For any fixed prime p and any non-negative integer n there is a 2(pn − 1)-periodic generalized cohomology theory K(n)*, the nth Morava K-theory. Let G be a finite group and BG its classifying space. For some time now it has been conjectured that K(n)*(BG) is concentrated in even dimensions. Standard transfer arguments show that a finite group enjoys this property whenever its p-Sylow subgroup does, so one is reduced to verifying the conjecture for p-groups. It is easy to see that it holds for abelian groups, and it has been proved for some non-abelian groups as well, namely groups of order p3 ([7]) and certain wreath products ([3], [2]). In this note we consider finite (non-abelian) 2-groups with maximal normal cyclic subgroup, i.e. dihedral, semidihedral, quasidihedral and generalized quaternion groups of order a power of two.

scholarly journals Hamilton decompositions of one-ended Cayley graphs

2020 ◽  
Vol 140 ◽  
pp. 171-191
Author(s):  
Joshua Erde ◽  
Florian Lehner ◽  
Max Pitz
Keyword(s):  
Cayley Graphs ◽  
Hamilton Decompositions

scholarly journals Cubic bi-Cayley graphs over abelian groups

2014 ◽  
Vol 36 ◽  
pp. 679-693 ◽  
Author(s):  
Jin-Xin Zhou ◽  
Yan-Quan Feng
Keyword(s):  
Abelian Groups ◽  
Cayley Graphs

One-matching bi-Cayley graphs over abelian groups

2009 ◽  
Vol 30 (2) ◽  
pp. 602-616 ◽  
Author(s):  
István Kovács ◽  
Aleksander Malnič ◽  
Dragan Marušič ◽  
Štefko Miklavič
Keyword(s):  
Abelian Groups ◽  
Cayley Graphs
Sign in / Sign up

Export Citation Format

Share Document