Group and Ring Theoretic Properties of Polycyclic Groups

Polycyclic groups are built from cyclic groups in a specific way. They arise in many contexts within group theory itself but also more generally in algebra, for example in the theory of Noetherian rings. They also touch on some aspects of topology, geometry and number theory. The first half of this...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Wehrfritz, B.A.F (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Springer London : Imprint: Springer, 2009.
Edición:1st ed. 2009.
Colección:Algebra and Applications, 10
Temas:
Group theory.
Associative rings.
Associative algebras.
Commutative algebra.
Commutative rings.
Group Theory and Generalizations.
Associative Rings and Algebras.
Commutative Rings and Algebras.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Some Basic Group Theory
  • The Basic Theory of Polycyclic Groups
  • Some Ring Theory
  • Soluble Linear Groups
  • Further Group-Theoretic Properties of Polycyclic Groups
  • Hypercentral Groups and Rings
  • Groups Acting on Finitely Generated Commutative Rings
  • Prime Ideals in Polycyclic Group Rings
  • The Structure of Modules over Polycyclic Groups
  • Semilinear and Skew Linear Groups.

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