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.References
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Additional Information
- H. Meng
- Affiliation: Departament de Matemàtiques, Universitat de València, Dr. Moliner, 50, 46100 Burjassot, València, Spain
- MR Author ID: 1134794
- ORCID: 0000-0001-9840-5783
- Email: hangyangmenges@gmail.com
- A. Ballester-Bolinches
- Affiliation: Departament de Matemàtiques, Universitat de València, Dr. Moliner, 50, 46100 Burjassot, València, Spain
- MR Author ID: 263725
- Email: adolfo.ballester@uv.es
- R. Esteban-Romero
- Affiliation: Departament de Matemàtiques, Universitat de València, Dr. Moliner, 50, 46100 Burjassot, València, Spain
- Address at time of publication: Permanent address: Institut Universitari de Matemàtica Pura i Aplicada, Universitat Politècnica de València, Camí de Vera, s/n, 46022 València, Spain
- MR Author ID: 689040
- ORCID: 0000-0002-2321-8139
- Email: ramon.esteban@uv.es, resteban@mat.upv.es
- Received by editor(s): September 27, 2017
- Received by editor(s) in revised form: June 4, 2018
- Published electronically: May 9, 2019
- Additional Notes: The research of this paper has been supported by the grant MTM2014-54707-C3-1-P from the Ministerio de Economía y Competitividad, Spain, and FEDER, European Union, and by the grant PROMETEO/2017/057 from the Generalitat, Valencian Community, Spain.
The first author was supported by the predoctoral grant 201606890006 from the China Scholarship Council. - © Copyright 2019 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 372 (2019), 2589-2612
- MSC (2010): Primary 20C15, 20D20, 20D45
- DOI: https://doi.org/10.1090/tran/7639
- MathSciNet review: 3988586