## Topics in Algebra: Proceedings, 18th Summer Research Institute of the Australian Mathematical Society, Australian National University, Canberra, January 9-February 17, 1978, Issue 697 |

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### Contents

Robert B Howlett EXTENDING CHARACTERS FROM NORMAL SUBGROUPS l | 8 |

Irving Kaplansky FIVE THEOREMS ON ABELIAN GROUPS | 47 |

Irving Reiner INTEGRAL REPRESENTATIONS OF CYCLIC pGROUPS 7 0 | 88 |

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### Common terms and phrases

A-lattices abelian group algorithm associative algebra Australian National University Azumaya algebras basic commutators basis Canberra cl(A class groups coefficient commutative ring construction cosets cyclic defined degree denote direct sum elements endomorphism equivalent exact sequence exists exponent extends filtration finite group finite index finite-dimensional finitely presented follows free group fully invariant subgroups functor genus given gr F graded Lie ring group G group theory Hence homogeneous component indecomposable induced module infinite irreducible isomorphism classes Jordan algebra Jordan monomial K-module lattice lectures Lie algebras Lie ring linear combination Magnus Math matrix maximal ideal monic identity monoid monomials nilpotent groups nonzero notation orbits p-group p-power p-ring permutation positive integer prime problem Proc proof PROPOSITION prove quotient rank Reiner result satisfies South Wales special Jordan algebra subalgebra subgroup of G submodules subset subspace summands Suppose Theorem torsionfree unique variety vector space word X-algebra ZG-lattices