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

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

‎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.

Bibliographic Details
Main Authors: Hoshang Behravesh, Mehdi Ghaffarzadeh, Mohsen Ghasemi, Somayeh Hekmatara
Format: Article
Language:English
Published: University of Isfahan 2021-03-01
Series:International Journal of Group Theory
Subjects:
finite group
‎ ‎irreducible character
character graph
Online Access:https://ijgt.ui.ac.ir/article_23719_bd990adbcf2b607f38e9948294016161.pdf

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