Order components of a finite group are introduced in Chen [Chen, GY (1996c) On Thompson's conjecture. J. Algebra 185: 184–193]. It was proved that PSL (3, q), where q is …
SH Alavi, A Daneshkhah - Journal of Applied Mathematics and Computing, 2005 - Springer
In this paper we prove that the alternating groups A n, for n= p, p+ 1, p+ 2 and symmetric groups S n, for n= p, p+ 1, where p>= 3 is a prime number, can be uniquely determined by …
Let G be a finite group and OC (G) be the set of order components of G. Denote by k (OC (G)) the number of isomorphism classes of finite groups H satisfying OC (H)= OC (G). It is …
Order components of a finite group are introduced in Chen (J. Algebra 185 (1996) 184). It was proved that PSL (3, q), where q is an odd prime power, is uniquely determined by its …
Z Han, J Hu, D He - AIMS Mathematics, 2024 - aimspress.com
In this paper, we studied the influence of centralizers on the structure of groups, and demonstrated that Janko simple groups can be uniquely determined by two crucial …
A Characterization of PSU11 (q) Page 1 Canad. Math. Bull. Vol. 47 (4), 2004 pp. 530–539 A Characterization of PSU11 (q) A. Iranmanesh and B. Khosravi Abstract. Order components of …
H Shi, G Chen - Journal of applied mathematics & informatics, 2009 - koreascience.kr
RELATION BETWEEN B, (3) AND C, (3) wITH THEIR ORDER Page 1 J. Appl. Math. & Informatics Vol. 27 (2009), No. 3 - 4, pp. 653 - 659 Website: http://www.kcam.biz RELATION …