Abstract
Given a set π of prime numbers, the π-partial characters of a finite group G are defined as the restrictions of the ordinary characters of G to the π-elements of G. In the case where G is solvable, or even just π-separable, these π-partial characters are under good control and they can be used to prove new results about the ordinary characters of such groups. In these lectures, several of the key results that form the foundation of the theory are presented without proof. These are then used to develop the theory and derive a number of applications.
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© 1995 Springer Science+Business Media Dordrecht
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Isaacs, I.M. (1995). Characters and Sets of Primes for Solvable Groups. In: Hartley, B., Seitz, G.M., Borovik, A.V., Bryant, R.M. (eds) Finite and Locally Finite Groups. NATO ASI Series, vol 471. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0329-9_13
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DOI: https://doi.org/10.1007/978-94-011-0329-9_13
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