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Arrangement of the subgroups that contain an unramified quadratic torus in the general linear group of degree 2 over a local number field (p=2)

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Abstract

Let k be a dyadic local number field and let\(K = k(\sqrt d )\) be an unramified quadratic extension. A complete description is suggested for the intermediate subgroups of the general linear group G=GL(2,k) of degree 2 over the field k that contain the nonsplit maximal torus T=T(d) (i.e., the image in G of the multiplicative group K* of the field K under the regular embedding). In particular, the torus T(d) is polynormal in GL(2,k). Bibliography: 11 titles.

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References

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Authors
  1. A. A. Bondarenko
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Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 211, 1994, pp. 80–90.

Translated by I. I. Skopin.

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Bondarenko, A.A. Arrangement of the subgroups that contain an unramified quadratic torus in the general linear group of degree 2 over a local number field (p=2). J Math Sci 83, 609–616 (1997). https://doi.org/10.1007/BF02434847

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  • DOI: https://doi.org/10.1007/BF02434847

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