Quasirecognition by prime graph of $C_{n}(4) $, where $ n\geq17 $ is odd
| Autor: | Somayeh Mosavi, Neda Ahanjideh |
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| Jazyk: | English<br />Portuguese |
| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | Boletim da Sociedade Paranaense de Matemática, Vol 33, Iss 1, Pp 57-65 (2015) |
| Druh dokumentu: | article |
| ISSN: | 0037-8712 2175-1188 |
| DOI: | 10.5269/bspm.v33i1.21969 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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