Recognition of Janko groups and some simple $K_4$-groups by the order and one irreducible character degree or character degree graph

Document Type: Research Paper


1 Department of Mathematics‎, ‎Urmia University‎, ‎Urmia 57135‎, ‎Iran

2 Department of Mathematics‎, ‎Khoy Branch‎, ‎Islamic Azad University‎, ‎Khoy‎, ‎Iran

3 Department of mathematics, Urmia University, Urmia, Iran


‎In this paper we prove that some Janko groups are uniquely‎ ‎determined by their orders and one irreducible character‎ ‎degree‎. ‎Also we prove that some finite simple $K_4$-groups are‎ ‎uniquely determined by their character degree graphs and their‎ ‎orders‎.


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