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Finite presentability of SL 1(D)

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Abstract

Let D be a finite dimensional division algebra over a local field of characteristic p and let SL 1(D) denote the group of elements of reduced norm 1 in D. In this paper we prove that SL 1(D) is finitely presented as a profinite group.

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Authors and Affiliations

  1. School of Mathematics, Institute for Advanced Study, Einstein Drive 1, Princeton, NJ, 08540, USA

    Mikhail Ershov

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  1. Mikhail Ershov
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Additional information

This work is part of the author’s Ph.D. Thesis at Yale University.

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Ershov, M. Finite presentability of SL 1(D). Isr. J. Math. 158, 297–347 (2007). https://doi.org/10.1007/s11856-007-0015-9

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  • DOI: https://doi.org/10.1007/s11856-007-0015-9

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