A note on infinite aS-groups

Nikandish, Reza; Miraftab, Babak

doi:10.1007/s10587-015-0223-0

Czech Math J

2015

DOI: 10.1007/s10587-015-0223-0

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A note on infinite aS-groups

Reza Nikandish

Babak Miraftab

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2019

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Co-maximal graphs of two generator groups

Miraftab

Nikandish

2019

J. Algebra Appl.

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Let [Formula: see text] be a group. The co-maximal graph of [Formula: see text], denoted by [Formula: see text], is a graph whose vertices are nontrivial elements of [Formula: see text] and two distinct vertices [Formula: see text] and [Formula: see text] are adjacent in [Formula: see text] if and only if [Formula: see text]. In this paper, we study some connections between the graph-theoretic properties of this graph and some algebraic properties of groups. For instance, we characterized all groups whose co-maximal graphs are connected and we show that if [Formula: see text] has no isolated vertex, then [Formula: see text] is connected with diameter at most 2. Moreover, we classify all groups whose co-maximal graphs are complete. Also, some results on the clique number and chromatic number of a co-maximal graph are given. In addition, the co-maximal graphs of abelian groups are studied.

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Co-maximal graphs of two generator groups

Miraftab

Nikandish

2019

J. Algebra Appl.

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A note on infinite aS-groups

Cited by 1 publication

References 11 publications

Co-maximal graphs of two generator groups

Co-maximal graphs of two generator groups

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