G. Walls

activity

20132016

collaborators

3 papers

math.GR2016

Finite groups with star-free noncyclic graphs

Xuanlong Ma, Gary L. Walls, Kaishun Wang

For a finite noncyclic group $G$ , let $\Cyc(G)$ be a set of elements $a$ of $G$ such that $⟨ a, b ⟩$ is cyclic for each $b$ of $G$ . The noncyclic graph of $G$ is a graph…

math.GR2015

Power graphs of (non)orientable genus two

Xuanlong Ma, Gary L. Walls, Kaishun Wang

The power graph $Γ_{G}$ of a finite group $G$ is the graph whose vertex set is the group, two distinct elements being adjacent if one is a power of the other. In this paper, we class…

math.RA2013

Rings associated to coverings of finite p-groups

Gary Walls, Linhong Wang

In general the endomorphisms of a non-abelian group do not form a ring under the operations of addition and composition of functions. Several papers have dealt with the ring of fun…