Timeline for Arithmetic application: Complete group ring and group ring for infinite group
Current License: CC BY-SA 4.0
4 events
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| Sep 28 at 5:57 | comment | added | Tim Porter | I am not an expert on number theory, but it seems to me that your last question raises another two, namely 'what counts as number theory?' and `what counts as an application?' Are Galois groups to count as part of number theory if studied in an attempt to understand them as profinite groups, but with no direct application in mind to some number theoretic problem? Brumer does make some comment linking results on pseudocompact algebras to questions in class field theory (beyond my paygrade as they say!). Where does one discipline (here number theory) end and another homological algebra begin? | |
| Sep 26 at 16:03 | comment | added | Rellw | Are there some application of group rings for infinite groups on number theory? So I ask the question. I' m reading the paper you linked. | |
| Sep 26 at 16:02 | comment | added | Rellw | Hi Tim, sorry for my late response. My meaning of the question is when we research algebraic number theory, we also use the completer group ring which is the inverse limit of finite group rings produced by the same coefficients ring and quotient groups of the group by all open normal subgroups. However, when I study Selmer complex book wrriten by Jan Nekovar, I find that on the book there occur many symbols for group ring, like R[G], for profinite group. So it makes me confused and want to make the meaning of symbols clearly. Besides, it inspires me to ask the question. | |
| Sep 2 at 6:57 | history | answered | Tim Porter | CC BY-SA 4.0 |