caa a22 4500 606244557 CHVBK 20210128101331.0 cr unu---uuuuu 210128e20151101xx s 000 0 eng 10.1007/s12044-015-0253-4 doi (NATIONALLICENCE)springer-10.1007/s12044-015-0253-4 Characterization of PGL(2, p) by its order and one conjugacy class size [Elektronische Daten] [YANHENG CHEN, GUIYUN CHEN] Let p be a prime. In this paper, we do not use the classification theorem of finite simple groups and prove that the projective general linear group P G L(2, p) can be uniquely determined by its order and one special conjugacy class size. Further, the validity of a conjecture of J. G. Thompson is generalized to the group P G L(2, p) by a new way. Indian Academy of Sciences, 2015 Finite group nationallicence conjugacy class size nationallicence Thompson's conjecture nationallicence CHEN YANHENG School of Mathematics and Statistics, Southwest University, 400715, Chongqing, People's Republic of China aut CHEN GUIYUN School of Mathematics and Statistics, Southwest University, 400715, Chongqing, People's Republic of China aut Proceedings - Mathematical Sciences Springer India 125/4(2015-11-01), 501-506 0253-4142 125:4<501 2015 125 12044 https://doi.org/10.1007/s12044-015-0253-4 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s12044-015-0253-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- CHEN YANHENG School of Mathematics and Statistics, Southwest University, 400715, Chongqing, People's Republic of China aut NATIONALLICENCE 700 1- CHEN GUIYUN School of Mathematics and Statistics, Southwest University, 400715, Chongqing, People's Republic of China aut NATIONALLICENCE 773 0- Proceedings - Mathematical Sciences Springer India 125/4(2015-11-01), 501-506 0253-4142 125:4<501 2015 125 12044