Research articles
ScienceAsia (): 474-481 |doi:
10.2306/scienceasia1513-1874...474
On groups with consecutive three smallest character
degrees
Shitian Liua,*, Donglin Leib, Xianhua Lib
ABSTRACT: Huppert determined the structure of groups whose degrees are consecutive, then Qian improved that
Huppert’s result and showed the structure of finite groups whose degrees of nonlinear characters are consecutive. In
this paper, we considered the case when the first three smallest degrees of nonlinear irreducible characters of an almost
simple group G are consecutive. Furthermore, Huppert’s conjecture is proved valid for those groups.
Download PDF
55 Downloads 1247 Views
| a |
School of Science, Sichuan University of Science and Engineeing, Zigong Sichuan 643000 China |
| b |
School of Mathematical Science, Soochow University, Suzhou, Jiangsu 251125 China |
* Corresponding author, E-mail: s.t.liu@yandex.com
Received 13 Aug 2018, Accepted 4 Sep 2019
|
