Extending characters from Hall subgroups.
Suppose that is a finite -separable group. A classical result asserts that all irreducible characters of a Hall -subgroup of extend to if and only if has a normal complement in . Now, we fix a prime and analyze when only the -degree irreducible characters of extend to .
Cite this article
Gunter Malle, Gabriel Navarro, Extending characters from Hall subgroups.. Doc. Math. 16 (2011), pp. 901–919DOI 10.4171/DM/355