On large orbits of subgroups of linear groups

Meng, H.; Ballester-Bolinches, A.; Esteban-Romero, R.

doi:10.1090/tran/7639

On large orbits of subgroups of linear groups
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by H. Meng, A. Ballester-Bolinches and R. Esteban-Romero PDF

Trans. Amer. Math. Soc. 372 (2019), 2589-2612 Request permission

Abstract:

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.

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