AU - Moosavi, S. A.
TI - Groups whose Bipartite Divisor Graph for Character Degrees Has Five Vertices
PT - JOURNAL ARTICLE
TA - IJMSI
JN - IJMSI
VO - 17
VI - 1
IP - 1
4099 - http://ijmsi.ir/article-1-1390-en.html
4100 - http://ijmsi.ir/article-1-1390-en.pdf
SO - IJMSI 1
ABĀ - Let $G$ be a finite group and $cd^*(G)$ be the set of nonlinear irreducible character degrees of $G$. Suppose that $rho(G)$ denotes the set of primes dividing some element of $cd^*(G)$. The bipartite divisor graph for the set of character degrees which is denoted by $B(G)$, is a bipartite graph whose vertices are the disjoint union of $rho(G)$ and $cd^*(G)$, and a vertex $p in rho(G)$ is connected to a vertex $a in cd^*(G)$ if and only if $p|a$. In this paper, we investigate the structure of a group $G$ whose graph $B(G)$ has five vertices. Especially we show that all these groups are solvable.
CP - IRAN
IN - Faculty of Basic Science, University of Qom, Qom, Iran
LG - eng
PB - IJMSI
PG - 145
PT - Research paper
YR - 2022