## Illinois Journal of Mathematics, Volume 5 |

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### Contents

Briggs W E and Buschman R G The power series coefficients | 43 |

Gray John W Extensions of sheaves of algebras 159174 | 152 |

Gruenberg K W The upper central series in soluble groups 436466 | 159 |

17 other sections not shown

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### Common terms and phrases

abelian group algebra type Amer assume automorphism base-point Borel Brownian canonical divisor cohomology groups commutative completes the proof contains Corollary corresponding defined definition denote dimension direct sum divisor elements equivalent exact sequence exists extension field finite rank follows function G-module given group G Hausdorff Hence homomorphism homotopy ideal identity implies indecomposable induces injective resolution integers invariant irreducible isomorphism Lemma Let G linear linearly compact Markov Math matrix maximal subgroups measure module multiplication nilpotent nilpotent group normal subgroup obtain p-group polynomial prime projective resolution proof of Theorem Proposition prove rational regular regular local ring representation result Riemann surface ring satisfies Satz sheaf sheaves solvable group stationary point subgroup of G subring subset subspace Suppose Theorem 3.1 topological torsion torsion-free transitive trivial unique vector loop vector space zero