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Subgroup Lattices of Groups

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Editorial Reviews

Booknews
The central theme of this volume is the relation between the structure of a group and the structure of its lattice of subgroups. The volume contains nine chapters: fundamental concepts; modular lattices and abelian groups; complements and special elements in the subgroup lattice of a group; projectivities and arithmetic structure of infinite groups; projectivities and normal structure of finite groups; projectivities and normal structure of infinite groups; classes of groups and their projectivities; dualities of subgroup lattices, and further lattices. The volume contains a large number of exercises and is the only text on subgroup lattices since Suzuki's 1956 Structure of a Group and the Structure of Its Lattice of Subgroups (Berlin: Heidelberg, New York: Springer-Verlag). Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

Table of Contents

Preface
Notation
Ch. 1 Fundamental concepts 1
Ch. 2 Modular lattices and abelian groups 41
Ch. 3 Complements and special elements in the subgroup lattice of a group 114
Ch. 4 Projectivities and arithmetic structure of finite groups 157
Ch. 5 Projectivities and normal structure of finite groups 199
Ch. 6 Projectivities and normal structure of infinite groups 281
Ch. 7 Classes of groups and their projectivities 343
Ch. 8 Dualities of subgroup lattices 452
Ch. 9 Further lattices 485
Bibliography 542
Index of Names 561
Index of Subjects 564
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