Lower central and dimension series of groups

著者

• Mikhailov, Roman
• Passi, Inder Bir S.

書誌事項

Lower central and dimension series of groups

Roman Mikhailov, Inder Bir Singh Passi

（Lecture notes in mathematics, 1952）

Springer, c2009

• : pbk

注記

Includes bibliographical reference (p. 331-341) and index

内容説明・目次

内容説明

A fundamental object of study in group theory is the lower central series of groups. Understanding its relationship with the dimension series, which consists of the subgroups determined by the augmentation powers, is a challenging task. This monograph presents an exposition of different methods for investigating this relationship. In addition to group theorists, the results are also of interest to topologists and number theorists. The approach is mainly combinatorial and homological. A novel feature is an exposition of simplicial methods for the study of problems in group theory.

目次

Lower Central Series.- Dimension Subgroups.- Derived Series.- Augmentation Powers.- Homotopical Aspects.- Miscellanea.

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詳細情報

• NII書誌ID(NCID): BA87637011
• ISBN:
  • 9783540858171
• LCCN: 2008934461
• 出版国コード: gw
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Berlin
• ページ数/冊数: xxi, 346 p.
• 大きさ: 24 cm
• 親書誌ID:
  • BA00146586