دانلود کتاب Group Theory, Algebra, and Number Theory: Colloquium in Memory of Hans Zassenhaus held in Saarbrücken, Germany, June 4-5, 1993

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Introductory address\nAfter-dinner speech\nOn the solvability of the kernel of any orthogonal decomposition\n1. Introduction\n2. Lie algebras of types Bn,Cn, and Dn\n3. Exceptional Lie algebras\n4. Lie algebras of type An\nReferences\nThe beginnings of modular Lie algebra theory\n1. Introduction\n2. Zassenhaus algebra\n3. Lie algebras of Cartan type\n4. Derivations\n5. Sandwiches, filiations, ‘classicality’ criterion\n6. Linear representations and Cartan prolongations\n7. Lie algebras over fields of small characteristic\n7.1. Characteristic p = 5\n7.2. Characteristic p = 3\n7.3. Characteristic p = 2\n8. Miscellaneous\nReferences\nComputing invariants of algebraic number fields\n1. Introduction\n2. Galois groups\n2.1. (B) Approximation of Γ from below\n2.2. (A) Approximation of Γ from above and verification\n3. Integral basis\n3.1. Round 2-method\n3.2. Round 4-method\n4. Unit group and class group\n4.1. Method I (assuming GRH)\n4.2. Method II (unconditional)\n5. Examples and applications\nReferences\nKristallographische Gruppen\n1. Einleitung\n2. Die Periode bis 1950 aus heutiger Sicht\n3. Die vierdimensionalen Raumgruppen\n4. Spätere Entwicklungen\n5. Beispiele von Bravaismannigfaltigkeiten\nLiteratur\nEndliche Fastkörper und Zassenhausgruppen\n1. Einleitung\n2. Zur Kommutativität endlicher Divisionsringe\n3. Gruppen mit Partition\n4. Mehr über fixpunktfreie Operation\n5. Gruppen mit pq-Bedingung\n6. Ausnahmecharaktere und der SL2(5)-Satz von Zassenhaus\n7. Das Isomorphieproblem\n8. Die 2-dimensionalen linearen Gruppen und der SL2(5)-Satz von Dickson\n9. Vollständige Fastkörper\n10. Zassenhausgruppen\nLiteratur\nOn the arithmetic of commutative group rings\n1. Introduction\n2. Constructible units\n3. Cyclic p-groups\n4. Functors on cyclotomic algebras\n4.1. Admissible functors\n4.2. Cyclogenic functors\n5. Local units and logarithms\n5.1. Polarized bases\n5.2. ogarithms and applications\n6. Regular primes\n6.1. Arithmetical background\n6.2. Abelian p-groups\n7. Irregular primes\n7.1. A converse\n7.2. Non-constructible units\n8. Local units and global ideal classes\n8.1. Normal bases for local units\n8.2. Comparison with global units\n8.3. Kernel groups\n9. Cyclic groups of composite order\n9.1. An exact sequence\n9.2. Even order\n9.3. Odd order\nReferences