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pages.uoregon.edu/kantor/PAPERS/StructureCollGps.pdf
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axes, and that there is no involutory homology a for which oO{T) e Z(F/O{T)). ... (i) There is an involutory homology a central in a Sylow 2-subgroup T of F.
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pages.uoregon.edu/kantor/PAPERS/HomologiesPlanes.pdf
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F(b) contains an involutory homology but no Klein 9roup. Then F is transitive on those points c ~ A - a which are centers of nontrivial homologies. See (3.1) for ...
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citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.79.28...
citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.79.2832&rep=rep1&type=pdf
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Take afinite collineation group G generated by involutory homologies, where ~ is again any projective plane. We will assume that G has an involutory homology t ...
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www.uwyo.edu/moorhouse/pub/reconstr.pdf
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remark on the situation for involutory collineations other than homologies. And Section ... planes of order n exist, admitting an involutory homology? To solve 2.1 ...
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www.springerlink.com/index/x5m7855l10515m1k.pdf
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projective plane of order n has an involutory homology, n is odd. Hence involutory elations and homologies cannot coexist in finite projective planes. We extend ...
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journals.cambridge.org/production/action/cjoGetFulltext...
journals.cambridge.org/production/action/cjoGetFulltext?fulltextid=4869516
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points of a Baer subplane, and involutory homologies. 1. ... involutory homology with axis in II . ... All finite planes with involutory homologies have odd order.
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projecteuclid.org/DPubS/Repository/1.0/Disseminate?view...
projecteuclid.org/DPubS/Repository/1.0/Disseminate?view=body&id=pdf_1&handle=euclid.ojm/1200785087
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of π such that B^a and A^b, then aβ is an involutory (a(~)b,AB)-homology of π. Theorem ... two affine lines of Σ through Q. If G contains an involutory homology ...
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cage.ugent.be/~fdc/intensivecourse2/bonisoli_koen.pdf
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least one involutory homology inducing an even permutation on Ω. proof: First of .... tivity α of π fixing Ω is necessarily an involutory homology and either the. 13 ...
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www.dm.uniba.it/~aguglia/Pubblicazioni/irrabk6.pdf
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an involutory homology in G and use Hering's work on collineation groups ... involutory homology and either the centre of σ is an internal point and the axis is an ...
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www.sciencedirect.com/science/article/pii/S009731650700...
www.sciencedirect.com/science/article/pii/S0097316507001082
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Two (distinct) involutory homologies of PSU 3 (3 2 ) commute if and only if the center of one is on the axis of the other. For more details, see [7, §14] and [3] 5.
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