## Frobenius and Zassenhaus groups: Notes, Volumes 1-2Department of Mathematics, University of Illinois at Chicago Circle, 1969 - Group theory - 662 pages |

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### Contents

Two Theorems of Zasaenhaus 204 | 212 |

Simple Zasaenhaus Groups IV | 216 |

Construction and General Properties of Suzuki Groups | 224 |

6 other sections not shown

### Common terms and phrases

2-group assume CG(x characters of G clearly commutes completes the proof conjugacy classes conjugate classes consider contradiction defined Definition denote direct product doubly transitive eigenvalue element of G element of order elementary abelian equation exists Frobenius group Frobenius kernel Frobenius reciprocity Frobenius subgroup G contains G is called GF(p GF(q GP(q group G group of degree group of order Hall subgroup Hence induction integer involution irreducible characters irreducible representations isomorphic Let f Let G Let H Let Q mapping matrix maximal subgroup minimal normal subgroup NG(K nilpotent non-abelian non-identity element NQ(H NQ(K obtain odd order order q p-nilpotent permutation group prime divisor Principal Theorem quaternion quaternion group regular automorphism representation of G simple Zassenhaus group solvable strongly real elements subgroup H subgroup of G subgroup of order Suppose G Sylow p-subgroup TT-Hall subgroup W-invariant W-length Zassenhaus group