The automorphism group of the comaximal graph of a commutative ring

Let Formula: see text be a commutative ring with nonzero identity. The comaximal graph of Formula: see text, denoted by CGFormula: see text, is a simple graph whose vertices are the elements of Formula: see text, and two distinct vertices Formula: see text and Formula: see text are adjacent if and only if Formula: see text. The main purpose of this paper is to construct the automorphism groups (of some subgraphs) of CGFormula: see text and Formula: see text (or Formula: see text for short), where Formula: see text is the subgraph of Formula: see text which consists of non-unit elements of Formula: see text and Formula: see text is the Jacobson radical of Formula: see text.