![Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5943/TOC-Subject-Sample-2021-Mathematics-Statistics.jpg"})
Abstract
We show that the finite groups in which all irreducible character degrees constitute two chains with respect to divisibility are solvable. This solves a problem of Y. Berkovich.
Key Words:
2010 Mathematics Subject Classification:
ACKNOWLEDGMENT
The authors wish to thank the referee for pointing out several errors in the original manuscript.
The first author is supported by the NSF of China (11101055). The second author is supported by the NSF of China (11171364).
Notes
Communicated by A. Turull.