Bases normales autoduales et groupes unitaires en caractéristique 2. Serre, J. Transformation Groups, 19(2):643--698, June, 2014. doi abstract bibtex Let k be a field of characteristic 2, and let L/k be a finite Galois extension, with Galois group G. We show the equivalence of the following two properties: (∗) The group G is generated by elements of order 2 and by elements of odd order. (∗∗) There exists x ∈ L such that Tr(x) = 1 and Tr(x.g(x)) = 0 for every g ∈ G, g = 1.
@article{serre_bases_2014,
title = {Bases normales autoduales et groupes unitaires en caractéristique 2},
volume = {19},
doi = {10.1007/s00031-014-9269-6},
abstract = {Let k be a field of characteristic 2, and let L/k be a finite Galois extension, with Galois group G. We show the equivalence of the following two properties: (∗) The group G is generated by elements of order 2 and by elements of odd order. (∗∗) There exists x ∈ L such that Tr(x) = 1 and Tr(x.g(x)) = 0 for every g ∈ G, g = 1.},
language = {en},
number = {2},
urldate = {2014-07-30},
journal = {Transformation Groups},
author = {Serre, Jean-Pierre},
month = jun,
year = {2014},
keywords = {Serre},
pages = {643--698},
annote = {Lien de la fiche : http://link.springer.com/article/10.1007/s00031-014-9269-6},
file = {Snapshot:C\:\\Users\\consultation\\AppData\\Roaming\\Mozilla\\Firefox\\Profiles\\1rk8mjlp.julien\\zotero\\storage\\EIE4I672\\s00031-014-9269-6.html:text/html}
}
Downloads: 0
{"_id":"HWYdw5W67LB8pZd83","authorIDs":[],"author_short":["Serre, J."],"bibbaseid":"serre-basesnormalesautodualesetgroupesunitairesencaractristique2-2014","bibdata":{"bibtype":"article","type":"article","title":"Bases normales autoduales et groupes unitaires en caractéristique 2","volume":"19","doi":"10.1007/s00031-014-9269-6","abstract":"Let k be a field of characteristic 2, and let L/k be a finite Galois extension, with Galois group G. We show the equivalence of the following two properties: (∗) The group G is generated by elements of order 2 and by elements of odd order. (∗∗) There exists x ∈ L such that Tr(x) = 1 and Tr(x.g(x)) = 0 for every g ∈ G, g = 1.","language":"en","number":"2","urldate":"2014-07-30","journal":"Transformation Groups","author":[{"propositions":[],"lastnames":["Serre"],"firstnames":["Jean-Pierre"],"suffixes":[]}],"month":"June","year":"2014","keywords":"Serre","pages":"643--698","annote":"Lien de la fiche : http://link.springer.com/article/10.1007/s00031-014-9269-6","file":"Snapshot:C\\:\\\\Users\\o̧nsultation\\\\AppData\\\\Roaming\\\\Mozilla\\\\Firefox\\\\Profiles\\\\1rk8mjlp.julien\\\\zotero\\\\storage\\\\EIE4I672\\\\s00031-014-9269-6.html:text/html","bibtex":"@article{serre_bases_2014,\n\ttitle = {Bases normales autoduales et groupes unitaires en caractéristique 2},\n\tvolume = {19},\n\tdoi = {10.1007/s00031-014-9269-6},\n\tabstract = {Let k be a field of characteristic 2, and let L/k be a finite Galois extension, with Galois group G. We show the equivalence of the following two properties: (∗) The group G is generated by elements of order 2 and by elements of odd order. (∗∗) There exists x ∈ L such that Tr(x) = 1 and Tr(x.g(x)) = 0 for every g ∈ G, g = 1.},\n\tlanguage = {en},\n\tnumber = {2},\n\turldate = {2014-07-30},\n\tjournal = {Transformation Groups},\n\tauthor = {Serre, Jean-Pierre},\n\tmonth = jun,\n\tyear = {2014},\n\tkeywords = {Serre},\n\tpages = {643--698},\n\tannote = {Lien de la fiche : http://link.springer.com/article/10.1007/s00031-014-9269-6},\n\tfile = {Snapshot:C\\:\\\\Users\\\\consultation\\\\AppData\\\\Roaming\\\\Mozilla\\\\Firefox\\\\Profiles\\\\1rk8mjlp.julien\\\\zotero\\\\storage\\\\EIE4I672\\\\s00031-014-9269-6.html:text/html}\n}\n\n","author_short":["Serre, J."],"key":"serre_bases_2014","id":"serre_bases_2014","bibbaseid":"serre-basesnormalesautodualesetgroupesunitairesencaractristique2-2014","role":"author","urls":{},"keyword":["Serre"],"downloads":0},"bibtype":"article","biburl":"https://copy.com/yJeTigu7fF3GMfay","creationDate":"2015-03-24T09:12:14.141Z","downloads":0,"keywords":["serre"],"search_terms":["bases","normales","autoduales","groupes","unitaires","caract","ristique","serre"],"title":"Bases normales autoduales et groupes unitaires en caractéristique 2","year":2014,"dataSources":["cQkDY6Drbg7NYDmKy"]}