Open AccessQuasirecognition by prime graph of $C_{n}(4) $, where $ n\geq17 $ is odd
Author(s) -
Somayeh Mosavi,
Neda Ahanjideh
Publication year - 2014
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.v33i1.21969
Subject(s) - combinatorics , prime (order theory) , mathematics , graph , abelian group , discrete mathematics
Let $G$ be a finite group and let $\Gamma(G) $ be the prime graph of $ G$. We assume that $ n\geq 17$ is an odd number. In this paper, we show that if $ \Gamma(G) = \Gamma(C_{n}(4))$, then $ G$ has a unique non-abelian composition factor isomorphic to $C_{n}(4)$. As consequences of our result, $C_{n}(4)$ is quasirecognizable by its spectrum and by prime graph