Images of Real Representations of $SL_n(Z_p)$

Details Images of Real Representations of $SL_n(Z_p)$ Images of Real Representations of $SL_n(Z_p)$

2011-04-23

arxiv.org/abs/1104.4542v1

Mathematics

Group Theory

17 pages

Scientific paper

In this paper, we investigate abstract homomorphism from the special linear
group over complete discrete valuation rings with finite residue field, such as
the ring of p-adic integers, into the general linear group over the reals. We
find the minimal dimension in which such a representation has infinite image.
For positive characteristic rings, this minimum is infinity.

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