## 1969 Number Theory Institute |

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### Contents

Abelian Varieties Over Finite Fields | 53 |

The Integral Classical Groups and Their Automorphisms | 76 |

Class Formations | 96 |

Copyright | |

17 other sections not shown

### Common terms and phrases

abelian extension Abelian variety algebraic extension algebraic number field algebraically closed algebraically independent apply arithmetic assume automorphisms bound class field theory class formation class group class number coefficients cohomology complete compute condition conjecture constant contains COROLLARY corresponding cyclotomic definition degree denote depends dimension diophantine equation divisor domain elements elliptic curves endomorphism estimate example exists extension finite field fixed follows formula function field Galois group genus geometric given gives Hence Henselian homomorphism ideal implies inequality infinite irreducible isogeny isomorphism Lemma linear linearly independent Math matrix maximal method multiplicative nonsingular notation number theory obtain ord F plane polynomial problem proof of Theorem Proposition proved quadratic fields quadratic forms rational relation representation residue roots of unity satisfies sequence sieve solutions space subgroup Suppose transcendental trivial unique unramified valuation subring values variables vector zero zeta function