# 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

Authors

1 Department of Mathematics, Urmia University, Urmia , Iran

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

Abstract

‎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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