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Recognition of Janko groups and some simple $K_4$-groups by the order and one irreducible character degree or character degree graph | ||
International Journal of Group Theory | ||
مقاله 1، دوره 10، شماره 1، خرداد 2021، صفحه 1-10 اصل مقاله (215.26 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22108/ijgt.2019.113029.1502 | ||
نویسندگان | ||
Hoshang Behravesh1؛ Mehdi Ghaffarzadeh2؛ Mohsen Ghasemi* 1؛ Somayeh Hekmatara1 | ||
1Department of Mathematics, Urmia University, Urmia , Iran | ||
2Department of Mathematics, Khoy Branch, Islamic Azad University, Khoy , Iran | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Finite group؛ irreducible character؛ character graph | ||
مراجع | ||
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