Articles with "prime graph" as a keyword



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The prime graph on class sizes of a finite group has a bipartite complement

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Published in 2020 at "Journal of Algebra"

DOI: 10.1016/j.jalgebra.2019.09.022

Abstract: Abstract Let G be a finite group, and let cs ( G ) denote the set of sizes of the conjugacy classes of G. The prime graph built on cs ( G ) , that… read more here.

Keywords: prime graph; graph; finite group; graph class ... See more keywords
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The Prime Graphs of Some Classes of Finite Groups

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Published in 2021 at "Journal of Pure and Applied Algebra"

DOI: 10.1016/j.jpaa.2021.106990

Abstract: In this paper we study prime graphs of finite groups. The prime graph of a finite group G, also known as the Gruenberg-Kegel graph, is the graph with vertex set {primes dividing |G|} and an… read more here.

Keywords: prime graph; finite groups; order; prime graphs ... See more keywords