Book:László Fuchs/Infinite Abelian Groups/Volume II

Continuation of.

Subject Matter

 * Infinite Abelian Groups

Contents

 * Preface


 * XI. Separable $p$-Groups
 * 65. Lemmas on $p$-Groups
 * 66. Subsocles
 * 67. Fully Invariant and Large Subgroups
 * 68. Torsion-Complete Groups
 * 69. Further Characterization of Torsion-Complete $p$-Groups
 * 70. Topological Completeness of Torsion-Complete Groups
 * 71. Direct Decompositions of Torsion-Complete Groups
 * 72. The Exchange Property
 * 73. Direct Sums of Torsion-Complete Groups
 * 74. Quasi-Complete Groups
 * 75. Direct Decompositions of $p$-Groups
 * Notes


 * XII. $p$-Groups with Elements of Infinite Height
 * 76. Existence Theorems on $p$-Groups
 * 77. Ulm's Theorem
 * 78. Direct Sums of Countable $p$-Groups
 * 79. Nice Subgroups
 * 80. Isotype and Balanced Subgroups
 * 81. $p$-Groups with Nice Composition Series
 * 82. Totally Projective $p$-Groups
 * 83. Simply Presented $p$-Groups
 * 84. Summable $p$-Groups
 * Notes


 * XIII. Torsion-Free Groups
 * 85. Torsion-Free Groups of Rank $1$
 * 86. Completely Decomposable Groups
 * 87. Separable Groups
 * 88. Indecomposable Groups
 * 89. Large Indecomposable Groups
 * 90. Direct Decompositions of Finite Rank Groups
 * 91. Direct Decompositions of Countable Groups
 * 92. Quasi-Direct Decomposition
 * 93. Countable Torsion-Free Groups
 * 94. Slender Groups
 * 95. Characterization of Slender Groups by Subgroups
 * 96. Vector Groups
 * 97. Finite-Valued Functions into a Group
 * 98. Homogeneous and Homogeneously Decomposable Groups
 * 99. Whitehead's Problem
 * Notes


 * XIV. Mixed Groups
 * 100. Splitting Mixed Groups
 * 101. Baer Groups Are Free
 * 102. Quasi-Splitting Mixed Groups
 * 103. Height-Matrices
 * 104. Mixed Groups of Torsion-Free Rank $1$
 * 105. Groups with Prescribed Ulm Sequences
 * Notes


 * XV. Endomorphism Rings
 * 106. Endomorphism Rings
 * 107. Topologies of Endomorphism Rings
 * 108. Endomorphism Rings of Torsion Groups
 * 109. Endomorphism Rings of Separable $p$-Groups
 * 110. Countable Torsion-Free Endomorphism Rings
 * 111. Endomorphism Rings with Special Properties
 * 112. Regular and Generalized Regular Endomorphism Rings
 * Notes


 * XVI. Automorphism Groups
 * 113. Groups of Automorphisms
 * 114. Normal Subgroups in Automorphism Groups
 * 115. Automorphism Groups of Torsion Groups
 * 116. Automorphism Groups of Torsion-Free Groups
 * Notes


 * XVII. Additive Groups of Rings
 * 117. Subgroups That Are Always Ideals
 * 118. Multiplications on a Group
 * 119. Extensions of Partial Multiplications
 * 120. Torsion Rings
 * 121. Torsion-Free Rings
 * 122. Additive Groups of Artinian Rings
 * 123. Artinian Rings without Quasicyclic Subgroups
 * 124. Additive Groups of Regular and $\pi$-Regular Rings
 * 125. Embeddings in Regular and $\pi$-Regular Rings with Identity
 * 126. Additive Groups of Noetherian Rings and Rings with Restricted Minimum Condition
 * Notes


 * XVIII. Groups of Units in Rings
 * 127. Multiplicative Groups of Fields
 * 128. Units of Commutative Rings
 * 129. Groups That Are Unit Groups
 * Notes


 * Bibliography
 * Table of Notations
 * Author Index
 * Subject Index