## Illinois Journal of Mathematics, Volume 13 |

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### Contents

Asket Richard A transplantation theorem for Jacobi series 583590 | 1 |

Bailey John L Pointlike upper semicontinuous decompositions | 7 |

Higman Graham On the simple group of D G Higman and C C | 74 |

30 other sections not shown

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algebra Amer assume automorphism Banach space bounded centralizes commutative completes the proof component condition conical measures consequence contains continuous continuous functions contradiction converges Corollary countable cyclic decomposition Dedekind completion defect group defined definition denote differential direct sum divisor element epimorphism equivalent exists factor finite groups follows function group G Hence homeomorphism homotopy hypothesis ideal identity Illinois implies induces integer invariant involution irreducible isomorphic kernel lattice Lemma Let G linear locally compact manifold Math measure minimal normal subgroup modular module multiplication neighborhood nilpotent non-trivial norm notation obtain operator p-group p-Gruppe pair permutation polynomial prespectral prime proof of Theorem properties Proposition prove quadrics representation result satisfies sequence spectral subgroup of G submodule subset subspace Suppose Sylow 2-subgroup symmetric theory tion topological torsion torsion module unique Untergruppe vector space weakly zero