Sublines and subplanes of PG (2, q 3) in the Bruck-Bose representation in PG (6, q)

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Abstract

In this article we look at the Bruck-Bose representation of PG(2,q 3) in PG(6,q). We look at sublines and subplanes of order q in PG(2,q 3) and describe their representation in PG(6,q). We then show how these results can be generalized to the Bruck-Bose representation of PG(2,q n) in PG(2n,q). © 2011 Elsevier Inc. All rights reserved.

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Barwick, S. G., & Jackson, W. A. (2012). Sublines and subplanes of PG (2, q 3) in the Bruck-Bose representation in PG (6, q). Finite Fields and Their Applications, 18(1), 93–107. https://doi.org/10.1016/j.ffa.2011.07.001

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