Geodesic
Reduced Whitehead groups of prime exponent algebras over $p$-adic curves
Documenta mathematica, Tome 26 (2021), pp. 337-413 Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

Let F be the function field of a curve over a p-adic field. Let D/F be a central division algebra of prime exponent l which is different from p. Assume that F contains a primitive l2th root of unity. Then the abstract group SK1​(D):=[D∗,D∗]SL1​(D)​ is trivial.
DOI : 10.4171/dm/816
Classification : 11R58, 14H05, 14H25, 16K20, 16K50
Mots-clés : patching, reduced Whitehead groups, Tannaka-Artin problem, SK1​, function fields of p-adic curves 
@article{10_4171_dm_816,
     author = {Nivedita Bhaskhar},
     title = {Reduced {Whitehead} groups of prime exponent algebras over $p$-adic curves},
     journal = {Documenta mathematica},
     pages = {337--413},
     year = {2021},
     volume = {26},
     doi = {10.4171/dm/816},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/816/}
}
TY  - JOUR
AU  - Nivedita Bhaskhar
TI  - Reduced Whitehead groups of prime exponent algebras over $p$-adic curves
JO  - Documenta mathematica
PY  - 2021
SP  - 337
EP  - 413
VL  - 26
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/816/
DO  - 10.4171/dm/816
ID  - 10_4171_dm_816
ER  - 
%0 Journal Article
%A Nivedita Bhaskhar
%T Reduced Whitehead groups of prime exponent algebras over $p$-adic curves
%J Documenta mathematica
%D 2021
%P 337-413
%V 26
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/816/
%R 10.4171/dm/816
%F 10_4171_dm_816
Nivedita Bhaskhar. Reduced Whitehead groups of prime exponent algebras over $p$-adic curves. Documenta mathematica, Tome 26 (2021), pp. 337-413. doi: 10.4171/dm/816

Cité par Sources :