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The co-existence of elations and homologies of prime order

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Abstract

N. Krier and J. C. D. S. Yaqub have proved that if a projective plane π admits an involutory homology and an involutory elation, then π does not belong to the Lenz-Barlotti class I1, and belongs to the class I2. In this paper, we find the classification of projective planes having a homology of orderp and an elation of orderq, wherep andq are primes.

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This is based on a part of the doctoral dissertation of A. Solai Raju. The work was supported by a Senior Research Fellowship of the CSIR, India.

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Nagarajan, K.R., Solai Raju, A. The co-existence of elations and homologies of prime order. Geom Dedicata 51, 149–162 (1994). https://doi.org/10.1007/BF01265326

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  • DOI: https://doi.org/10.1007/BF01265326

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