钱焱, 陈贵云. 同阶交换子群个数之集为{1, 3}的有限群[J]. 西南大学学报(自然科学版), 2021, 43(10): 100-104.
|
雷倩, 何立官. 关于Conway单群和Fischer单群的刻画[J]. 西南大学学报(自然科学版), 2020, 42(10): 96-100.
|
刘鑫, 杨梅, 晏燕雄. 单群A8与L3(4)的新刻画[J]. 西南师范大学学报(自然科学版), 2020, 45(4): 5-8.
|
ISAACS I M, KANTOR W M, SPALTENSTEIN N. On the Probability That a Group Element is p-Singular[J]. Journal of Algebra, 1995, 176(1): 139-181. doi: 10.1006/jabr.1995.1238
|
BABAI L, PÁLFY P P, SAXL J. On the Number of p-Regular Elements in Finite Simplegroups[J]. LMS Journal of Computation and Mathematics, 2009, 12: 82-119. doi: 10.1112/S1461157000000036
|
QIAN G H, WANG Y M. On Class Size of p-Singular Elements in Finite Groups[J]. Communications in Algebra, 2009, 37(4): 1172-1181. doi: 10.1080/00927870802465910
|
GUEST S. The Exact Number of r-Regular Elements in Finite Exceptional Groups[D]. Southampton: University of Southampton, 2013.
|
ZHAO X H, CHEN R F, ZHOU Y Y, et al. On the Centralizers of the p-Regular Elements in a Finite Group[J]. Bulletin of the Brazilian Mathematical Society, New Series, 2021, 52(2): 353-360. doi: 10.1007/s00574-020-00207-8
|
徐明曜. 有限群初步[M]. 北京: 科学出版社, 2014.
|
邵长国. 用同阶元个数研究有限群[D]. 苏州: 苏州大学, 2008.
|
HUPPERT B. Endliche Gruppen I[M]. Berlin: Springer-Verlag, 1967.
|
陈贵云. Frobenius群与2-Frobenius群的结构[J]. 西南师范大学学报(自然科学版), 1995, 20(5): 485-487.
|
何立官, 陈贵云. 关于Mathieu群的一个新刻画[J]. 数学进展, 2017, 46(5): 729-734.
|
WILLIAMS J S. Prime Graph Components of Finite Groups[J]. Journal of Algebra, 1981, 69(2): 487-513.
|
ⅡYORI N, YAMAKI H. Prime Graph Components of the Simple Groups of Lie Type Over the Field of Even Characteristic[J]. Journal of Algebra, 1993, 155(2): 335-343.
|
ⅡYORI N, YAMAKI H. Corrigendum: "Prime Graph Components of the Simple Groups of Lie Type Over the Field of Even Characteristic"[J]. Journal of Algebra, 1996, 181(2): 659.
|
CONWAY J H, CURTIS R T, NORTON S P, et al. Atlas of Finite Groups[M]. Oxford: Clarendon Press, 1985.
|