The Normalizer of the Elementary Net Group Associated with a Nonsplit Torus in the General Linear Group Over a Field

Verfasser / Beitragende:
[N. Dzhusoeva, V. Koibaev]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 209/4(2015-09-01), 549-554
Format:
Artikel (online)
ID: 605526028
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024 7 0 |a 10.1007/s10958-015-2511-5  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2511-5 
245 0 4 |a The Normalizer of the Elementary Net Group Associated with a Nonsplit Torus in the General Linear Group Over a Field  |h [Elektronische Daten]  |c [N. Dzhusoeva, V. Koibaev] 
520 3 |a In this paper, the normalizer N(σ) of the elementary net group E(σ) associated with a nonsplit maximal torus T (d) in the general linear group GL(n, k) over a field k of odd characteristic is computed. The nonsplit maximal torus T = T (d) is determined by the radical extension k d n $$ k\left(\sqrt[n]{d}\right) $$ of degree n of the ground field k (minisotropic torus). 
540 |a Springer Science+Business Media New York, 2015 
700 1 |a Dzhusoeva  |D N.  |u North-Ossetian State University, Vladicaucasus, Russia  |4 aut 
700 1 |a Koibaev  |D V.  |u North-Ossetian State University, Vladicaucasus, Russia  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 209/4(2015-09-01), 549-554  |x 1072-3374  |q 209:4<549  |1 2015  |2 209  |o 10958 
856 4 0 |u https://doi.org/10.1007/s10958-015-2511-5  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10958-015-2511-5  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Dzhusoeva  |D N.  |u North-Ossetian State University, Vladicaucasus, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Koibaev  |D V.  |u North-Ossetian State University, Vladicaucasus, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 209/4(2015-09-01), 549-554  |x 1072-3374  |q 209:4<549  |1 2015  |2 209  |o 10958