Biset functors for finite groups /
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| Author / Creator: | Bouc, Serge, 1955- |
|---|---|
| Imprint: | Heidelberg ; New York : Springer, ©2010. |
| Description: | 1 online resource (ix, 299 pages). |
| Language: | English |
| Series: | Lecture notes in mathematics, 0075-8434 ; 1990 Lecture notes in mathematics (Springer-Verlag) ; 1990. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11074478 |
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| 100 | 1 | |a Bouc, Serge, |d 1955- |0 http://id.loc.gov/authorities/names/n97085258 |1 http://viaf.org/viaf/15501933 | |
| 245 | 1 | 0 | |a Biset functors for finite groups / |c Serge Bouc. |
| 260 | |a Heidelberg ; |a New York : |b Springer, |c ©2010. | ||
| 300 | |a 1 online resource (ix, 299 pages). | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
| 337 | |a computer |b c |2 rdamedia |0 http://id.loc.gov/vocabulary/mediaTypes/c | ||
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| 490 | 1 | |a Lecture notes in mathematics, |x 0075-8434 ; |v 1990 | |
| 504 | |a Includes bibliographical references (pages 293-295) and index. | ||
| 505 | 0 | |a Examples -- pt. 1. General properties. G-sets and (H, G)-bisets ; Biset functors ; Simple functors -- pt. 2. Biset functors on replete subcategories. The Burnside functor ; Endomorphism algebras ; The functor CRC ; Tensor product and internal Hom -- pt. 3. P-biset functors. Rational representations of p-groups ; P-biset functors ; Applications ; The Dade group. | |
| 520 | 8 | |a Annotation |b This volume exposes the theory of biset functors for finite groups, which yields a unified framework for operations of induction, restriction, inflation, deflation and transport by isomorphism. The first part recalls the basics on biset categories and biset functors. The second part is concerned with the Burnside functor and the functor of complex characters, together with semisimplicity issues and an overview of Green biset functors. The last part is devoted to biset functors defined over p-groups for a fixed prime number p. This includes the structure of the functor of rational representations and rational p-biset functors. The last two chapters expose three applications of biset functors to long-standing open problems, in particular the structure of the Dade group of an arbitrary finite p-group. This book is intended both to students and researchers, as it gives a didactic exposition of the basics and a rewriting of advanced results in the area, with some new ideas and proofs. | |
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Functor theory. |0 http://id.loc.gov/authorities/subjects/sh85052360 | |
| 650 | 0 | |a Finite groups. | |
| 650 | 0 | 7 | |a Finite groups. |2 cct |
| 650 | 0 | 7 | |a Functor theory. |2 cct |
| 650 | 7 | |a Finite groups. |2 fast |0 (OCoLC)fst00924908 | |
| 650 | 7 | |a Functor theory. |2 fast |0 (OCoLC)fst00936137 | |
| 655 | 4 | |a Electronic books. | |
| 776 | 0 | 8 | |i Print version: |a Bouc, Serge, 1955- |t Biset functors for finite groups. |d Heidelberg ; New York : Springer, ©2010 |z 9783642112966 |z 364211296X |w (DLC) 2010920971 |w (OCoLC)495274005 |
| 830 | 0 | |a Lecture notes in mathematics (Springer-Verlag) ; |v 1990. | |
| 856 | 4 | 0 | |u http://link.springer.com/10.1007/978-3-642-11297-3 |y SpringerLink |
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| 928 | |t Library of Congress classification |a QA169 .B683 2010 |l Online |c UC-FullText |u http://link.springer.com/10.1007/978-3-642-11297-3 |z SpringerLink |g ebooks |i 9883435 | ||