Lower central and dimension series of groups [Documento electrónico] / Roman Mikhailov, Inder Bir Singh Passi
Language: eng.Country: Germany.Publication: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009ISBN: 978-3-540-85818-8.Series: Lecture Notes in MathematicsSubject - Topical Name: Teoria dos grupos | Álgebra homológica Online Resources:Click here to access online| Item type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
|---|---|---|---|---|---|---|---|---|
| E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA174.2.SPR FCT 82186 (Browse shelf(Opens below)) | 1 | Available |
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| QA174.SPR FCT 81645 The finite simple groups | QA174.SPR FCT 94238 Combinatorics of coxeter groups | QA174.SPR FCT 95650 Braid groups | QA174.2.SPR FCT 82186 Lower central and dimension series of groups | QA174.2.SPR FCT 82233 Profinite groups | QA174.2.SPR FCT 95574 Zeta functions of groups and rings | QA174.2.SPR FCT 95711 Group-based cryptography |
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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.
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