1 |
G. Y. Chen, On Thompson's conjecture, J. Algebra 185 (1996), no. 1, 184-193.
DOI
|
2 |
G. Y. Chen, Further reflections on Thompson's conjecture, J. Algebra 218 (1999), no. 1, 276-285.
DOI
|
3 |
G. Y. Chen, V. D. Mazurov, W. J. Shi, A. V. Vasil'ev, and A. K. Zhurtov, Recognition of finite almost simple groups PGL(2, q) by their spectrum, J. Group Theory 10 (2007), no. 1, 71-85.
DOI
|
4 |
J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, and R. A. Wilson, Atlas of Finite Groups, Clarendon Press, Oxford, 1985.
|
5 |
L. E. Dickson, Linear Groups, Dover Publications, New York, 1958.
|
6 |
M. A. Grechkoseeva, On difference between the spectra of the simple groups and , Siberian Math. J. 48 (2007), 73-75.
DOI
|
7 |
S. Guest, J. Morris, C. E. Praeger, and P. Spiga, On the maximum orders of elements of finite almost simple groups and primitive permutation groups, ArXiv: 1301.5166v1.
|
8 |
W. B. Guo, The Theory of Classes of Groups, Science Press-Kluwer Academic Publishers, Beijing-New York-Dorlrecht-Boston-London, 2000.
|
9 |
L. G. He and G. Y. Chen, A new characterization of simple -groups, Comm. Algebra 40 (2012), no. 10, 3903-3911.
DOI
|
10 |
L. G. He and G. Y. Chen, A new characterization of simple -groups with type (p), Adv. Math. (China) 43 (2014), no. 5, 667-670.
|
11 |
B. Huppert, Endliche Gruppen I, Springer-Verlag, Heidelberg-New York, 1967.
|
12 |
W. M. Kantor, Linear groups containing a Singer cycle, J. Algebra 62 (1980), no. 1, 232-234.
DOI
|
13 |
W. M. Kantor and A. Seress, Large element orders and the characteristic of Lie-type simple groups, J. Algebra 322 (2009), no. 3, 802-832.
DOI
|
14 |
W. J. Shi, A new characterization of the sporadic simple groups, Group Theory: Proc. of the 1987 Singapore Conf., 531-540, Walter de Gruyter, Berlin-New York, 1989.
|
15 |
W. J. Shi, A new characterization of some simple groups of Lie type, Classical groups and related topics (Beijing, 1987), 171-180, Contemp. Math., 82, Amer. Math. Soc., Providence, RI, 1989.
|
16 |
W. J. Shi, On a problem of E. Artin, Acta Math. Sinica 35 (1992), no. 2, 262-265.
|
17 |
W. J. Shi, The pure quantitative characterization of finite groups (I), Progr. Natur. Sci. 4 (1994), 316-326.
|
18 |
W. J. Shi, Pure quantitative characterization of finite simple groups, Front. Math. China 2 (2007), no. 1, 123-125.
DOI
|
19 |
W. J. Shi and J. X. Bi, A characteristic property for each finite projective special linear groups, GroupsCanberra 1989, 171-180, Lecture Notes in Math., 1456, Springer, Berlin, 1990.
|
20 |
W. J. Shi, A characterization of Suzuki-Ree groups, Sci. China Ser. A 34 (1991), no. 1, 14-19.
|
21 |
W. J. Shi, A characterization of the alternating groups, SEA Bull. Math. 16 (1992), no. 1, 81-90.
|
22 |
A. V. Vasil'ev, M. A. Grechkoseeva, and V. D. Mazurov, Characterization of the finite simple groups by spectra and order, Algebra and Logic 48 (2009), 385-409.
DOI
|
23 |
J. S. Williams, Prime graph components of finite groups, J. Algebra 69 (1981), no. 2, 487-513.
DOI
|
24 |
G. Y. Chen, A new characterization of sporadic simple groups, Algebra Colloq. 3 (1996), no. 1, 49-58.
|
25 |
M. C. Xu and W. J. Shi, Pure quantitative characterization of finite simple groups and (l odd), Algebra Colloq. 10 (2003), no. 3, 427-443.
|
26 |
Q. L. Zhang and W. J. Shi, A new characterization of simple -groups and some PSL(2, p), Algebra Colloq. 20 (2013), no. 3, 361-368.
DOI
|
27 |
R. Brauer and W. F. Reynolds, On a problem of E. Artin, Ann. of Math. 68 (1958), no. 3, 713-720.
DOI
|
28 |
H. P. Cao and W. J. Shi, Pure quantitative characterization of finite projective special unitary groups, Sci, China Ser. A 45 (2002), no. 6, 761-772.
|
29 |
G. Y. Chen, On Thompson's cconjecture for sporadic simple groups, Proc. China Assoc. Sci. and Tech. First Academic Annual Meeting of Youths, Chinese Sci. and Tech., 1-6, Press, Beijing, 1992.
|