Generalizations of the Fong-Swan TheoremUniversity of Wisconsin--Madison, 2005 - 59 pages |
Common terms and phrases
7-separable group 7-special applied assume bound characters of G choice Choose class functions Clifford correspondent conjugacy conjugate constituent construct contradicting Corollary define definition denote dissertation distinct divides element elements of G equal example exists extends fact factorable Finally finite group fixed Fong-Swan Theorem give group G group of odd Hall subgroup implies inductive hypothesis injectivity invariant Irr(G Irr(N Irr(Q Irr(S irreducible Brauer character Isaacs Lemma Let G lies lifts linear lying Moreover Navarro necessarily NNM(Q normal nucleus normal subgroup Note Notice odd order Otherwise p-factorable p-solvable p-special extension pair prime Proof properties prove Recall respectively restriction set of primes Similarly special character stabilizer star map Step subgroup of G subnormal nucleus subnormal pair Suppose G Sylow p-subgroup Theorem 2.4 unique unique p-special values vertex subgroup