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Factorization intok-dimensional linear bijections
Authors:F. Knüppel
Affiliation:(1) Mathematisches Seminar, Universität Kiel, Olshausenstrasse 40, W-2300 Kiel, Germany
Abstract:LetV be a vector space,kepsiNopf withkledimV andSkcolone{phivepsiGL(V)|dimV(phiv–1)=k}. ThenSk generates GLf(V)colone{pgrepsiGL(V)|V(pgr-1) is finite-dimensional} (with the exception that dimV=2=k and the field is GF2). We study the length problem in GLf(V) withSk as set of generators.
Keywords:
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