Abstract
We show that each sporadic simple group G can be uniquely determined by the set of the orders of the maximal abelian subgroups of G.
Similar content being viewed by others
References
Wang L., A Characterization of Some Classes of Finite Simple Groups, Thesis for Master of Science, Southwest China Normal University (2000).
Chen G. Y., “A characterization of alternating groups by the set of orders of maximal abelian subgroups,” Siberian Math. J., 47, No. 3, 594–596 (2006).
Chen G. Y., “On Thompson’s conjecture,” J. Algebra, 185, 184–193 (1996).
Chen G. Y., “A new characterization of sporadic simple groups,” Algebra Colloq., 3, No. 1, 49–58 (1996).
Williams J. S., “Prime graph components of finite groups,” J. Algebra, 69, 487–513 (1981).
Chen G. Y., “On the Frobenius and 2-Frobenius group,” J. Southwest China Normal Univ., 20, No. 5, 485–487 (1995).
Kondrat’ev A. S., “Prime graph components of finite simple groups,” Math. USSR-Sb., 67, No. 1, 235–247 (1990).
Shi W. J., “The characterization of the sporadic simple groups by their element orders,” Algebra Colloq., 1, No. 2, 159–166 (1990).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text Copyright © 2008 Han Z., Chen G., and Guo X.
The authors were supported by the NSFC (No. 10771172), the SRF of the CUIT (No. CRF200530), and the Research Grant of Shanghai University.
__________
Shanghai; Chongqing. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 49, No. 6, pp. 1430–1440, November–December, 2008.
Rights and permissions
About this article
Cite this article
Han, Z., Chen, G. & Guo, X. A characterization theorem for sporadic simple groups. Sib Math J 49, 1138–1146 (2008). https://doi.org/10.1007/s11202-008-0111-z
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11202-008-0111-z