Open AccessOn large orbits of subgroups of linear groups
Author(s) -
Hangyang Meng,
A. BallesterBolinches,
R. EstebanRomero
Publication year - 2019
Publication title -
transactions of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.798
H-Index - 100
eISSN - 1088-6850
pISSN - 0002-9947
DOI - 10.1090/tran/7639
Subject(s) - mathematics , conjecture , character (mathematics) , orbit (dynamics) , pure mathematics , solvable group , group (periodic table) , algebra over a field , geometry , abelian group , engineering , chemistry , organic chemistry , aerospace engineering
The main aim of this paper is to prove an orbit theorem and to apply it to obtain a result that can be regarded as a significant step towards the solution of Gluck’s conjecture on large character degrees of finite solvable groups.