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Journal of Lie Theory 33 (2023), No. 1, 433--452
Copyright Heldermann Verlag 2023

Groups with Flat-Rank Greater Than 1

George A. Willis
School of Information and Physical Sciences, University of Newcastle, Callaghan, Australia

A general method for finding subgroups of a totally disconnected, locally compact groups having flat-rank greater than 1 is described. This method uses the internal structure of the group, notably the Levi subgroup of a given flat group, in order to produce a new flat group which, under an additional hypothesis, has flat-rank one greater than that of the given group.

Keywords: Totally disconnected locally compact group, scale, flat-rank, levi subgroup.

MSC: 22D05, 22D45.

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