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Direct Product Decompositions of Elation Groups
Published online by Cambridge University Press: 20 November 2018
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Let G be a collineation group of a projective plane π. Let E be the subgroup generated by all elations in G. In the case that π is finite and G fixes no point or line, F. Piper [6; 7] has proved that if G contains certain combinations of perspectivities, then E is isomorphic to for some finite field g.
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- Copyright © Canadian Mathematical Society 1977