@article {
author = {Foroudi Ghasemabadi, M. and Iranmanesh, A. and Ahanjideh, N.},
title = {2-recognizability of the simple groups $B_n(3)$ and $C_n(3)$ by prime graph},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {39},
number = {6},
pages = {1273-1281},
year = {2013},
publisher = {Springer and the Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {Let $G$ be a finite group and let $GK(G)$ be the prime graph of $G$. We assume that $ngeqslant 5 $ is an odd number. In this paper, we show that the simple groups $B_n(3)$ and $C_n(3)$ are 2-recognizable by their prime graphs. As consequences of the result, the characterizability of the groups $B_n(3)$ and $C_n(3)$ by their spectra and by the set of orders of maximal abelian subgroups are obtained. Also, we can conclude that the AAM's conjecture is true for the groups under study.},
keywords = {Prime graph,classification of finite simple groups,recognition,spectrum},
url = {http://bims.iranjournals.ir/article_346.html},
eprint = {http://bims.iranjournals.ir/article_346_1295fb2d30416b6530013ae8d990f863.pdf}
}