naa a22 4500 510782752 CHVBK 20180411083252.0 cr unu---uuuuu 180411e20130601xx s 000 0 eng 10.1007/s11856-012-0142-9 doi (NATIONALLICENCE)springer-10.1007/s11856-012-0142-9 Nguyen Hung Department of Mathematics, The University of Akron, 44325, Akron, Ohio, USA aut Quasisimple classical groups and their complex group algebras [Elektronische Daten] [Hung Nguyen] Let H be a finite quasisimple classical group, i.e., H is perfect and S:= H/Z(H) is a finite simple classical group. We prove that, excluding the open cases when S has a very exceptional Schur multiplier such as PSL3(4) or PSU4(3), H is uniquely determined by the structure of its complex group algebra. The proofs make essential use of the classification of finite simple groups as well as the results on prime power character degrees and relatively small character degrees of quasisimple classical groups. Hebrew University Magnes Press, 2013 Israel Journal of Mathematics Springer US; http://www.springer-ny.com 195/2(2013-06-01), 973-998 0021-2172 195:2<973 2013 195 11856 https://doi.org/10.1007/s11856-012-0142-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11856-012-0142-9 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Nguyen Hung Department of Mathematics, The University of Akron, 44325, Akron, Ohio, USA aut NATIONALLICENCE 773 0- Israel Journal of Mathematics Springer US; http://www.springer-ny.com 195/2(2013-06-01), 973-998 0021-2172 195:2<973 2013 195 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer