Divisibility among even character degrees

作者：Yang, Xia^*

来源：Monatshefte fur Mathematik, 2015, 178(4): 645-651.

DOI：10.1007/s00605-014-0710-7

• Finite nonsolvable group
• Character degree
• Divisibility
• DAED-group

We say that a finite group is a DAED-group (i.e., a group with divisibility among even degrees) if for any in the set of even degrees of the complex irreducible characters of divides . In this note, we show that any DAED-group has precisely one nonabelian chief factor. Furthermore, we show that the factor is isomorphic to for some . Our motivation comes from a problem raised by Kazarin and Berkovich in their paper "On Thompson's theorem", which asked about the structure of the finite nonsolvable DAED-groups.

• 出版日期2015-12
• 单位阜阳师范学院