## 1960 Institute on Finite Groups: Held at California Institute of Technology, Pasadena, California, August 1-August 28, 1960 |

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### Contents

Arithmetical and Normal Structure of Finite Groups f | 17 |

Combinatorial Analysis Designs and Permutation Groups | 39 |

Automorphisms of Steiner Triple Systems | 47 |

Copyright | |

5 other sections not shown

### Common terms and phrases

2-group 2-subgroup abelian absolutely irreducible algebra assume block design Brauer Carter subgroups central product centraliser coefficient commute composition factor conjugate classes cyclic decomposition defined denote diagonal direct sum double coset doubly transitive exists exponent extraspecial Fermat prime finite group Frobenius G contains G is soluble G-regular group G group of order Hence homomorphism implies indecomposable induction integer intertwining matrices involution irreducible characters irreducible representations irreducibly isomorphic Jordan group Lemma Let G letters linear group m.o.l.s. of order matrix minimal equation modular characters modular representations monomial nilpotent non-abelian non-trivial normal series normal structure normal subgroup orthogonal latin squares p-soluble p-Sylow permutation group proved quotient groups repre representation of G sentation shows simple groups squares of order Steiner system Steiner triple system subgroup H fixing subgroup of G subnormal subgroups suppose Sylow subgroup transformation triangle trivial vector space whence Wielandt ZT)-group