On the relation between 2 and ∞ in Galois cohomology of number fields
We remove the assumption 'p≠ 2 or k is totally imaginary' from several well-known theorems on Galois groups with restricted ramification of number fields. For example, we show that the Galois group of the maximal extension of a number field k which is unramified outside 2 has finite cohom...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
September 2002
|
| In: |
Compositio mathematica
Year: 2002, Jahrgang: 133, Heft: 3, Pages: 267-288 |
| ISSN: | 1570-5846 |
| DOI: | 10.1023/A:1020038431624 |
| Online-Zugang: | Verlag, kostenfrei, Volltext: http://dx.doi.org/10.1023/A:1020038431624 Verlag, Volltext: https://www.cambridge.org/core/journals/compositio-mathematica/article/on-the-relation-between-2-and-in-galois-cohomology-of-number-fields/830A3C09ADF616A85098D5B799A9F97A 
|
| Verfasserangaben: | Alexander Schmidt |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1572653418 | ||
| 003 | DE-627 | ||
| 005 | 20220814132246.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 180504s2002 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1023/A:1020038431624 |2 doi | |
| 035 | |a (DE-627)1572653418 | ||
| 035 | |a (DE-576)502653418 | ||
| 035 | |a (DE-599)BSZ502653418 | ||
| 035 | |a (OCoLC)1341008352 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 27 |2 sdnb | ||
| 100 | 1 | |a Schmidt, Alexander |d 1965- |e VerfasserIn |0 (DE-588)132996952 |0 (DE-627)530080079 |0 (DE-576)299553752 |4 aut | |
| 245 | 1 | 0 | |a On the relation between 2 and ∞ in Galois cohomology of number fields |c Alexander Schmidt |
| 246 | 3 | 3 | |a On the relation between 2 and [infinity] in Galois cohomology of number fields |
| 264 | 1 | |c September 2002 | |
| 300 | |a 22 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Published online: 04 December 2007 | ||
| 500 | |a Gesehen am 04.05.2018 | ||
| 520 | |a We remove the assumption 'p≠ 2 or k is totally imaginary' from several well-known theorems on Galois groups with restricted ramification of number fields. For example, we show that the Galois group of the maximal extension of a number field k which is unramified outside 2 has finite cohomological 2-dimension (also if k has real places). | ||
| 650 | 4 | |a cohomological dimension | |
| 650 | 4 | |a Galois cohomology | |
| 650 | 4 | |a real places | |
| 650 | 4 | |a restricted ramification | |
| 773 | 0 | 8 | |i Enthalten in |t Compositio mathematica |d Cambridge : Cambridge Univ. Press, 1935 |g 133(2002), 3, Seite 267-288 |h Online-Ressource |w (DE-627)266882692 |w (DE-600)1468114-6 |w (DE-576)102668906 |x 1570-5846 |7 nnas |a On the relation between 2 and ∞ in Galois cohomology of number fields |
| 773 | 1 | 8 | |g volume:133 |g year:2002 |g number:3 |g pages:267-288 |g extent:22 |a On the relation between 2 and ∞ in Galois cohomology of number fields |
| 856 | 4 | 0 | |u http://dx.doi.org/10.1023/A:1020038431624 |x Verlag |x Resolving-System |z kostenfrei |3 Volltext |
| 856 | 4 | 0 | |u https://www.cambridge.org/core/journals/compositio-mathematica/article/on-the-relation-between-2-and-in-galois-cohomology-of-number-fields/830A3C09ADF616A85098D5B799A9F97A |x Verlag |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20180504 | ||
| 993 | |a Article | ||
| 994 | |a 2002 | ||
| 998 | |g 132996952 |a Schmidt, Alexander |m 132996952:Schmidt, Alexander |d 110000 |d 110100 |d 110000 |d 110400 |e 110000PS132996952 |e 110100PS132996952 |e 110000PS132996952 |e 110400PS132996952 |k 0/110000/ |k 1/110000/110100/ |k 0/110000/ |k 1/110000/110400/ |p 1 |x j |y j | ||
| 999 | |a KXP-PPN1572653418 |e 3007951194 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"relHost":[{"pubHistory":["1.1935 -"],"part":{"year":"2002","pages":"267-288","issue":"3","volume":"133","text":"133(2002), 3, Seite 267-288","extent":"22"},"note":["Gesehen am 05.03.2018"],"type":{"media":"Online-Ressource","bibl":"periodical"},"disp":"On the relation between 2 and ∞ in Galois cohomology of number fieldsCompositio mathematica","language":["eng"],"recId":"266882692","title":[{"title":"Compositio mathematica","title_sort":"Compositio mathematica"}],"physDesc":[{"extent":"Online-Ressource"}],"origin":[{"publisherPlace":"Cambridge ; Dordrecht [u.a.]","dateIssuedDisp":"1935-","dateIssuedKey":"1935","publisher":"Cambridge Univ. Press ; Kluwer"}],"id":{"eki":["266882692"],"zdb":["1468114-6"],"issn":["1570-5846"]}}],"physDesc":[{"extent":"22 S."}],"name":{"displayForm":["Alexander Schmidt"]},"id":{"doi":["10.1023/A:1020038431624"],"eki":["1572653418"]},"origin":[{"dateIssuedDisp":"September 2002","dateIssuedKey":"2002"}],"recId":"1572653418","language":["eng"],"type":{"bibl":"article-journal","media":"Online-Ressource"},"note":["Published online: 04 December 2007","Gesehen am 04.05.2018"],"titleAlt":[{"title":"On the relation between 2 and [infinity] in Galois cohomology of number fields"}],"person":[{"roleDisplay":"VerfasserIn","display":"Schmidt, Alexander","role":"aut","family":"Schmidt","given":"Alexander"}],"title":[{"title":"On the relation between 2 and ∞ in Galois cohomology of number fields","title_sort":"On the relation between 2 and ∞ in Galois cohomology of number fields"}]} | ||
| SRT | |a SCHMIDTALEONTHERELAT2002 | ||