Direct Product Decompositions of Elation Groups
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.
1967 ◽
Vol 63
(3)
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pp. 647-652
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1990 ◽
Vol 48
(1)
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pp. 156-170
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1957 ◽
Vol 9
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pp. 378-388
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2017 ◽
Vol 2019
(8)
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pp. 2295-2331
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