Geodesic
On Commutativity Degree of Crossed Modules
Kragujevac Journal of Mathematics, Tome 48 (2024) no. 5, p. 713 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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In this paper, we define and study the notion of commutativity degree of finite crossed modules. We shall state some results concerning commutativity degree of crossed modules and obtain some upper and lower bounds for commutativity degree of finite crossed modules. Finally we show that, if two crossed modules are isoclinic, then they have the same commutativity degree.
Classification : 20E34, 20N99, 18B99
Keywords: crossed module, commutativity degree, isoclinism 
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     author = {Somayeh Amini and Shahram Heidarian and Farhad Khaksar Haghani},
     title = {On {Commutativity} {Degree} of {Crossed} {Modules}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {713 },
     year = {2024},
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     number = {5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2024_48_5_a4/}
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Somayeh Amini; Shahram Heidarian; Farhad Khaksar Haghani. On Commutativity Degree of Crossed Modules. Kragujevac Journal of Mathematics, Tome 48 (2024) no. 5, p. 713 . http://geodesic.mathdoc.fr/item/KJM_2024_48_5_a4/