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RESEARCH PRODUCT
On Large Orbits of Actions of Finite Soluble Groups: Applications
Adolfo Ballester-bolinchesH. MengRamon Esteban-romerosubject
Pure mathematicsCharacter (mathematics)ConjectureConjugacy classAlgebra over a fieldOrbit (control theory)Mathematicsdescription
The main aim of this survey paper is to present two orbit theorems and to show how to apply them 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 soluble groups. We also show how to apply them to solve questions about intersections of some conjugacy families of subgroups of finite soluble groups.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-01-01 |