Even-dimensional orthogonal groups as amalgams of unitary groups
Journal of Algebra, 2005
This article is part of the program described in [CD Bennett, R. Gramlich, C. Hoffman, S. Shpecto... more This article is part of the program described in [CD Bennett, R. Gramlich, C. Hoffman, S. Shpectorov, CurtisPhanTits theory, in: AA Ivanov et al. (Eds.), Groups, Combinatorics and Geometry, Proceedings of the Durham Conference on Groups and Geometries, 2001, ...
We study the distribution of singular and unimodular matrices in sumsets in matrix rings over fin... more We study the distribution of singular and unimodular matrices in sumsets in matrix rings over finite fields. We apply these results to estimate the largest prime divisor of the determinants in sumsets in matrix rings over the integers.
Odd-dimensional orthogonal groups as amalgams of unitary groups. Part 1: general simple connectedness
Journal of Algebra, 2007
We extend the Phan theory described in [C. Bennett, R. Gramlich, C. Hoffman, S. Shpectorov, Curti... more We extend the Phan theory described in [C. Bennett, R. Gramlich, C. Hoffman, S. Shpectorov, CurtisPhanTits theory, in: AA Ivanov, MW Liebeck, J. Saxl (Eds.), Groups, Combinatorics, and Geometry, World Scientific, River Edge, 2003, pp. 1329] to the last ...
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Papers by C. Hoffman