Quasirecognition by Prime Graph of2Dp(3) Where p = 2n+ 1 ≥ 5 is a Prime
Bulletin of the Malaysian Mathematical Society, Tome 32 (2009) no. 3
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In this paper as the main result, we show that if is a finite group such that , where , is a prime number, then has a unique non-abelian composition factor isomorphic to . We also show that if is a finite group satisfying and , then . As a consequence of our result we give a new proof for a conjecture of W. J. Shi and J. X. Bi [A characteristic property for each finite projective special linear group, in Groups-Canberra
Classification :
20D05, 20D60.
@article{BMMS_2009_32_3_a7,
author = {A. Babai and B. Khosravi and N. Hasani},
title = {Quasirecognition by {Prime} {Graph} {of2Dp(3)} {Where} p = 2n+ 1 \ensuremath{\geq} 5 is a {Prime}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2009},
volume = {32},
number = {3},
url = {http://geodesic.mathdoc.fr/item/BMMS_2009_32_3_a7/}
}
A. Babai; B. Khosravi; N. Hasani. Quasirecognition by Prime Graph of2Dp(3) Where p = 2n+ 1 ≥ 5 is a Prime. Bulletin of the Malaysian Mathematical Society, Tome 32 (2009) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2009_32_3_a7/