| | |
| | |
Stat |
Members: 3645 Articles: 2'504'928 Articles rated: 2609
26 April 2024 |
|
| | | |
|
Article overview
| |
|
Brauer Theory for Profinite Groups | John MacQuarrie
; Peter Symonds
; | Date: |
23 Jan 2013 | Abstract: | Brauer Theory for a finite group can be viewed as a method for comparing the
representations of the group in characteristic 0 with those in prime
characteristic. Here we generalize much of the machinery of Brauer theory to
the setting of profinite groups. By regarding Grothendieck groups as functors
we describe corresponding Grothendieck groups for profinite groups, and
generalize the decomposition map, regarded as a natural transformation. We
discuss characters and Brauer characters for profinite groups. We give a
functorial description of the block theory of a profinite group. We finish with
a method for computing the Cartan matrix of a finite group $G$ given the Cartan
matrix for a quotient of $G$ by a normal $p$-subgroup. | Source: | arXiv, 1301.5625 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |