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 \( k\left(\sqrt[n]{d}\right) \) of degree n of the ground field k (minisotropic torus).
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 423, 2014, pp. 105–112.
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Dzhusoeva, N.A., Koibaev, V.A. The Normalizer of the Elementary Net Group Associated with a Nonsplit Torus in the General Linear Group Over a Field. J Math Sci 209, 549–554 (2015). https://doi.org/10.1007/s10958-015-2511-5
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DOI: https://doi.org/10.1007/s10958-015-2511-5