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The diameter of the commuting graph of a finite group with trivial centre

โœ Scribed by Morgan, G.L.; Parker, C.W.


Book ID
121192722
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
342 KB
Volume
393
Category
Article
ISSN
0021-8693

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The commuting graph of a ring R, denoted by (R), is a graph whose vertices are all non-central elements of R and two distinct vertices x and y are adjacent if and only if xy = yx. Let D be a division ring and n 3. In this paper we investigate the diameters of (M n (D)) and determine the diameters of