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## Details

Genre/Form: | Electronic resource |
---|---|

Additional Physical Format: | Print version: Wehrfritz, Bertram A.F. Group and ring theoretic properties of polycyclic groups. New York ; London : Springer, 2009 (OCoLC)435733999 |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Bertram A F Wehrfritz |

ISBN: | 9781848829411 1848829418 |

OCLC Number: | 475001849 |

Description: | 1 online resource. |

Contents: | Cover -- Contents -- 1 Some Basic Group Theory -- 2 The Basic Theory of Polycyclic Groups -- 3 Some Ring Theory -- 4 Soluble Linear Groups -- 5 Further Group-Theoretic Properties of Polycyclic Groups -- 6 Hypercentral Groups and Rings -- 7 Groups Acting on Finitely Generated Commutative Rings -- 8 Prime Ideals in Polycyclic Group Rings -- 9 The Structure of Modules over Polycyclic Groups -- 10 Semilinear and Skew Linear Groups -- Notation -- Bibliography -- Index. |

Series Title: | Algebras and applications, 10. |

Responsibility: | by Bertram A.F. Wehrfritz. |

### Abstract:

The first half of this book develops the standard group theoretic techniques for studying polycyclic groups and their basic properties. The second half focuses specifically on the ring theoretic properties of polycyclic groups and their applications.
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## Reviews

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Publisher Synopsis

From the reviews:"The book under review consists of 10 chapters and is devoted to the systematic study of polycyclic groups from the beginning in the late 1930's up to now. ... The book is written clearly, with a high scientific level. ... It is quite accessible to research workers not only in the area of group theory, but also in other areas, who find themselves, involved with polycyclic groups. The Bibliography is rich and reflects the development of the theory from very early time up to now." (Bui Xuan Hai, Zentralblatt MATH, Vol. 1206, 2011) Read more...

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