Open AccessOn large orbits of subgroups of linear groups
Author(s) -
Hangyang Meng,
A. BallesterBolinches,
R. EstebanRomero
Publication year - 2018
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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom