| eBook ISBN: | 978-0-8218-7675-6 |
| Product Code: | CONM/87.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-0-8218-7675-6 |
| Product Code: | CONM/87.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
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Book DetailsContemporary MathematicsVolume: 87; 1989; 289 ppMSC: Primary 20
The traditional biennial international conference of abelian group theorists was held in August, 1987 at the University of Western Australia in Perth. With some 40 participants from five continents, the conference yielded a variety of papers indicating the healthy state of the field and showing the significant advances made in many areas since the last such conference in Oberwolfach in 1985. This volume brings together the papers presented at the Perth conference, together with a few others submitted by those unable to attend.
The first section of the book is concerned with the structure of \(p\)-groups. It begins with a survey on H. Ulm's contributions to abelian group theory and related areas and also describes the surprising interaction between set theory and the structure of abelian \(p\)-groups. Another group of papers focuses on automorphism groups and the endomorphism rings of abelian groups. The book also examines various aspects of torsion-free groups, including the theory of their structure and torsion-free groups with many automorphisms. After one paper on mixed groups, the volume closes with a group of papers dealing with properties of modules which generalize corresponding properties of abelian groups.
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Table of Contents
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Articles
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R. Göbel — Helmut Ulm: his work and its impact on recent mathematics [ MR 995259 ]
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K. Benabdallah, D. Cutler and A. Mader — Extensions of torsion-complete $p$-groups [ MR 995260 ]
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Kin-ya Honda — Plain global bases of reduced abelian $p$-groups [ MR 995261 ]
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Patrick Keef — On set theory and the balanced-projective dimension of $C_\Omega $ groups [ MR 995262 ]
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D. Cutler, A. Mader and Ch. Megibben — Essentially indecomposable abelian $p$-groups having a filtration of prescribed type [ MR 995263 ]
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Wolfgang Liebert — Isomorphic automorphism groups of primary abelian groups. II [ MR 995264 ]
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Warren May — Endomorphism rings of mixed abelian groups [ MR 995265 ]
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Phillip Schultz — The endomorphism ring of a valuated group [ MR 995266 ]
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D. Arnold and C. Vinsonhaler — Quasi-endomorphism rings for a class of Butler groups [ MR 995267 ]
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David M. Arnold — Representations of partially ordered sets and abelian groups [ MR 995268 ]
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Rüdiger Göbel and Claudia Sengelhoff — Vector spaces with four distinguished subspaces and applications to modules [ MR 995269 ]
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Ulrich Albrecht — Abelian groups $A$ such that the category of $A$-solvable groups is preabelian [ MR 995270 ]
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Otto Mutzbauer — Type invariants of torsion-free abelian groups [ MR 995271 ]
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U. Albrecht and P. Hill — Separable vector groups [ MR 995272 ]
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Claudia Metelli — Bihomogeneous groups [ MR 995273 ]
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H. Pat Goeters and J. D. Reid — On the $p$-rank of ${\rm Hom}(A,B)$ [ MR 995274 ]
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Manfred Dugas and Jutta Hausen — Torsion-free $E$-uniserial groups of infinite rank [ MR 995275 ]
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M. Dugas and S. Shelah — $E$-transitive groups in $L$ [ MR 995276 ]
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Paul Hill and Charles Megibben — The local equivalence theorem [ MR 995277 ]
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R. S. Pierce — $E$-modules [ MR 995278 ]
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L. Fuchs — Some applications of abelian group theory to modules [ MR 995279 ]
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L. Salce and P. Zanardo — Finitely generated modules over valuation domains [ MR 995280 ]
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Temple H. Fay — Torsion divisible dimension [ MR 995281 ]
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A. D. Sands — Some remarks on $A$-radicals [ MR 995282 ]
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Katsuya Eda — Cardinality restrictions on preradicals [ MR 995283 ]
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Saad H. Mohamed and Bruno J. Müller — Continuous modules have the exchange property [ MR 995284 ]
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The traditional biennial international conference of abelian group theorists was held in August, 1987 at the University of Western Australia in Perth. With some 40 participants from five continents, the conference yielded a variety of papers indicating the healthy state of the field and showing the significant advances made in many areas since the last such conference in Oberwolfach in 1985. This volume brings together the papers presented at the Perth conference, together with a few others submitted by those unable to attend.
The first section of the book is concerned with the structure of \(p\)-groups. It begins with a survey on H. Ulm's contributions to abelian group theory and related areas and also describes the surprising interaction between set theory and the structure of abelian \(p\)-groups. Another group of papers focuses on automorphism groups and the endomorphism rings of abelian groups. The book also examines various aspects of torsion-free groups, including the theory of their structure and torsion-free groups with many automorphisms. After one paper on mixed groups, the volume closes with a group of papers dealing with properties of modules which generalize corresponding properties of abelian groups.
-
Articles
-
R. Göbel — Helmut Ulm: his work and its impact on recent mathematics [ MR 995259 ]
-
K. Benabdallah, D. Cutler and A. Mader — Extensions of torsion-complete $p$-groups [ MR 995260 ]
-
Kin-ya Honda — Plain global bases of reduced abelian $p$-groups [ MR 995261 ]
-
Patrick Keef — On set theory and the balanced-projective dimension of $C_\Omega $ groups [ MR 995262 ]
-
D. Cutler, A. Mader and Ch. Megibben — Essentially indecomposable abelian $p$-groups having a filtration of prescribed type [ MR 995263 ]
-
Wolfgang Liebert — Isomorphic automorphism groups of primary abelian groups. II [ MR 995264 ]
-
Warren May — Endomorphism rings of mixed abelian groups [ MR 995265 ]
-
Phillip Schultz — The endomorphism ring of a valuated group [ MR 995266 ]
-
D. Arnold and C. Vinsonhaler — Quasi-endomorphism rings for a class of Butler groups [ MR 995267 ]
-
David M. Arnold — Representations of partially ordered sets and abelian groups [ MR 995268 ]
-
Rüdiger Göbel and Claudia Sengelhoff — Vector spaces with four distinguished subspaces and applications to modules [ MR 995269 ]
-
Ulrich Albrecht — Abelian groups $A$ such that the category of $A$-solvable groups is preabelian [ MR 995270 ]
-
Otto Mutzbauer — Type invariants of torsion-free abelian groups [ MR 995271 ]
-
U. Albrecht and P. Hill — Separable vector groups [ MR 995272 ]
-
Claudia Metelli — Bihomogeneous groups [ MR 995273 ]
-
H. Pat Goeters and J. D. Reid — On the $p$-rank of ${\rm Hom}(A,B)$ [ MR 995274 ]
-
Manfred Dugas and Jutta Hausen — Torsion-free $E$-uniserial groups of infinite rank [ MR 995275 ]
-
M. Dugas and S. Shelah — $E$-transitive groups in $L$ [ MR 995276 ]
-
Paul Hill and Charles Megibben — The local equivalence theorem [ MR 995277 ]
-
R. S. Pierce — $E$-modules [ MR 995278 ]
-
L. Fuchs — Some applications of abelian group theory to modules [ MR 995279 ]
-
L. Salce and P. Zanardo — Finitely generated modules over valuation domains [ MR 995280 ]
-
Temple H. Fay — Torsion divisible dimension [ MR 995281 ]
-
A. D. Sands — Some remarks on $A$-radicals [ MR 995282 ]
-
Katsuya Eda — Cardinality restrictions on preradicals [ MR 995283 ]
-
Saad H. Mohamed and Bruno J. Müller — Continuous modules have the exchange property [ MR 995284 ]
