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Commuting Involution Graphs for Certain Exceptional Groups of Lie Type
Graphs and Combinatorics ( IF 0.7 ) Pub Date : 2021-05-16 , DOI: 10.1007/s00373-021-02321-w Ali Aubad , Peter Rowley
中文翻译:
Lie类型的某些例外组的通勤对合图
更新日期:2021-05-17
Graphs and Combinatorics ( IF 0.7 ) Pub Date : 2021-05-16 , DOI: 10.1007/s00373-021-02321-w Ali Aubad , Peter Rowley
Suppose that G is a finite group and X is a G-conjugacy classes of involutions. The commuting involution graph \({\mathcal {C}}(G,X)\) is the graph whose vertex set is X with \(x, y \in X\) being joined if \(x \ne y\) and \(xy = yx\). Here for various exceptional Lie type groups of characteristic two we investigate their commuting involution graphs.
中文翻译:
Lie类型的某些例外组的通勤对合图
假设G是有限群,X是对合的G-共轭类。所述通勤复旧图表\({\ mathcal {C}}(G,X)\)是其顶点集是图表X与\(X,Y \在X \)被接合,如果\(X \ NE Y \)和\(xy = yx \)。在这里,对于特征2的各种不同的Lie类型组,我们研究了它们的通勤对合图。