@article{31bbc708f9c14fbcae7e17c3b044a287,
title = "On the Set of the Numbers of Conjugates of Noncyclic Proper Subgroups of Finite Groups",
abstract = "Let G be a finite group and (G) the set of the numbers of conjugates of noncyclic proper subgroups of G. We prove that (1) if |(G)| ≤ 2, then G is solvable, and (2) G is a nonsolvable group with |(G)| = 3 if and only if G≅PSL(2,5) or PSL(2,13) or SL(2,5) or SL(2,13).",
author = "Jiangtao Shi and Cui Zhang",
note = "Copyright {\textcopyright} 2013 J. Shi and C. Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.",
year = "2013",
doi = "10.1155/2013/430870",
language = "English",
volume = "2013",
journal = "Scientific World Journal",
issn = "2356-6140",
publisher = "Hindawi Publishing Corporation",
}