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

By: Contributor(s): Publisher: Berlin/Boston : De Gruyter, Inc., 1996Copyright date: ©1996Description: 1 online resource (221 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783110811957
Subject(s): Genre/Form: Additional physical formats: Print version:: Group Theory, Algebra, and Number Theory : Colloquium in Memory of Hans Zassenhaus held in Saarbrücken, Germany, June 4-5, 1993DDC classification:
  • 512
LOC classification:
  • QA174 -- .C65 1993eb
Online resources:
Contents:
Intro -- Introductory address -- After-dinner speech -- On the solvability of the kernel of any orthogonal decomposition -- 1. Introduction -- 2. Lie algebras of types Bn,Cn, and Dn -- 3. Exceptional Lie algebras -- 4. Lie algebras of type An -- References -- The beginnings of modular Lie algebra theory -- 1. Introduction -- 2. Zassenhaus algebra -- 3. Lie algebras of Cartan type -- 4. Derivations -- 5. Sandwiches, filiations, 'classicality' criterion -- 6. Linear representations and Cartan prolongations -- 7. Lie algebras over fields of small characteristic -- 7.1. Characteristic p = 5 -- 7.2. Characteristic p = 3 -- 7.3. Characteristic p = 2 -- 8. Miscellaneous -- References -- Computing invariants of algebraic number fields -- 1. Introduction -- 2. Galois groups -- 2.1. (B) Approximation of Γ from below -- 2.2. (A) Approximation of Γ from above and verification -- 3. Integral basis -- 3.1. Round 2-method -- 3.2. Round 4-method -- 4. Unit group and class group -- 4.1. Method I (assuming GRH) -- 4.2. Method II (unconditional) -- 5. Examples and applications -- References -- Kristallographische Gruppen -- 1. Einleitung -- 2. Die Periode bis 1950 aus heutiger Sicht -- 3. Die vierdimensionalen Raumgruppen -- 4. Spätere Entwicklungen -- 5. Beispiele von Bravaismannigfaltigkeiten -- Literatur -- Endliche Fastkörper und Zassenhausgruppen -- 1. Einleitung -- 2. Zur Kommutativität endlicher Divisionsringe -- 3. Gruppen mit Partition -- 4. Mehr über fixpunktfreie Operation -- 5. Gruppen mit pq-Bedingung -- 6. Ausnahmecharaktere und der SL2(5)-Satz von Zassenhaus -- 7. Das Isomorphieproblem -- 8. Die 2-dimensionalen linearen Gruppen und der SL2(5)-Satz von Dickson -- 9. Vollständige Fastkörper -- 10. Zassenhausgruppen -- Literatur -- On the arithmetic of commutative group rings -- 1. Introduction -- 2. Constructible units -- 3. Cyclic p-groups.
4. Functors on cyclotomic algebras -- 4.1. Admissible functors -- 4.2. Cyclogenic functors -- 5. Local units and logarithms -- 5.1. Polarized bases -- 5.2. ogarithms and applications -- 6. Regular primes -- 6.1. Arithmetical background -- 6.2. Abelian p-groups -- 7. Irregular primes -- 7.1. A converse -- 7.2. Non-constructible units -- 8. Local units and global ideal classes -- 8.1. Normal bases for local units -- 8.2. Comparison with global units -- 8.3. Kernel groups -- 9. Cyclic groups of composite order -- 9.1. An exact sequence -- 9.2. Even order -- 9.3. Odd order -- References.
Holdings
Item type Current library Call number Status Date due Barcode Item holds
Ebrary Ebrary Afghanistan Available EBKAF-N00019082
Ebrary Ebrary Algeria Available
Ebrary Ebrary Cyprus Available
Ebrary Ebrary Egypt Available
Ebrary Ebrary Libya Available
Ebrary Ebrary Morocco Available
Ebrary Ebrary Nepal Available EBKNP-N00019082
Ebrary Ebrary Sudan Available
Ebrary Ebrary Tunisia Available
Total holds: 0

Intro -- Introductory address -- After-dinner speech -- On the solvability of the kernel of any orthogonal decomposition -- 1. Introduction -- 2. Lie algebras of types Bn,Cn, and Dn -- 3. Exceptional Lie algebras -- 4. Lie algebras of type An -- References -- The beginnings of modular Lie algebra theory -- 1. Introduction -- 2. Zassenhaus algebra -- 3. Lie algebras of Cartan type -- 4. Derivations -- 5. Sandwiches, filiations, 'classicality' criterion -- 6. Linear representations and Cartan prolongations -- 7. Lie algebras over fields of small characteristic -- 7.1. Characteristic p = 5 -- 7.2. Characteristic p = 3 -- 7.3. Characteristic p = 2 -- 8. Miscellaneous -- References -- Computing invariants of algebraic number fields -- 1. Introduction -- 2. Galois groups -- 2.1. (B) Approximation of Γ from below -- 2.2. (A) Approximation of Γ from above and verification -- 3. Integral basis -- 3.1. Round 2-method -- 3.2. Round 4-method -- 4. Unit group and class group -- 4.1. Method I (assuming GRH) -- 4.2. Method II (unconditional) -- 5. Examples and applications -- References -- Kristallographische Gruppen -- 1. Einleitung -- 2. Die Periode bis 1950 aus heutiger Sicht -- 3. Die vierdimensionalen Raumgruppen -- 4. Spätere Entwicklungen -- 5. Beispiele von Bravaismannigfaltigkeiten -- Literatur -- Endliche Fastkörper und Zassenhausgruppen -- 1. Einleitung -- 2. Zur Kommutativität endlicher Divisionsringe -- 3. Gruppen mit Partition -- 4. Mehr über fixpunktfreie Operation -- 5. Gruppen mit pq-Bedingung -- 6. Ausnahmecharaktere und der SL2(5)-Satz von Zassenhaus -- 7. Das Isomorphieproblem -- 8. Die 2-dimensionalen linearen Gruppen und der SL2(5)-Satz von Dickson -- 9. Vollständige Fastkörper -- 10. Zassenhausgruppen -- Literatur -- On the arithmetic of commutative group rings -- 1. Introduction -- 2. Constructible units -- 3. Cyclic p-groups.

4. Functors on cyclotomic algebras -- 4.1. Admissible functors -- 4.2. Cyclogenic functors -- 5. Local units and logarithms -- 5.1. Polarized bases -- 5.2. ogarithms and applications -- 6. Regular primes -- 6.1. Arithmetical background -- 6.2. Abelian p-groups -- 7. Irregular primes -- 7.1. A converse -- 7.2. Non-constructible units -- 8. Local units and global ideal classes -- 8.1. Normal bases for local units -- 8.2. Comparison with global units -- 8.3. Kernel groups -- 9. Cyclic groups of composite order -- 9.1. An exact sequence -- 9.2. Even order -- 9.3. Odd order -- References.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2019. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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