$۴$-Regular prime graphs of nonsolvable groups
عنوان مقاله: $۴$-Regular prime graphs of nonsolvable groups
شناسه ملی مقاله: JR_THEGR-9-3_005
منتشر شده در در سال 1399
شناسه ملی مقاله: JR_THEGR-9-3_005
منتشر شده در در سال 1399
مشخصات نویسندگان مقاله:
Donnie Kasyoki - School of Mathematics, Statistics and Actuarial Science, Maseno University, Kenya
Paul Oleche - Department of Pure and Mathematics, Maseno University, P.O. Box ۳۳۳, Maseno, Kenya
خلاصه مقاله:
Donnie Kasyoki - School of Mathematics, Statistics and Actuarial Science, Maseno University, Kenya
Paul Oleche - Department of Pure and Mathematics, Maseno University, P.O. Box ۳۳۳, Maseno, Kenya
Let $G$ be a finite group and $\cd(G)$ denote the character degree set for $G$. The prime graph $\DG$ is a simple graph whose vertex set consists of prime divisors of elements in $\cd(G)$, denoted $\rho(G)$. Two primes $p,q\in \rho(G)$ are adjacent in $\DG$ if and only if $pq|a$ for some $a\in \cd(G)$. We determine which simple ۴-regular graphs occur as prime graphs for some finite nonsolvable group.
کلمات کلیدی: Nonsolvable group, character, character degree, graph, prime graph
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1194929/