Beutelspacher's parallelism construction


Abstract


Beutelspacher's construction of line parallelisms in PG(2^{a}-1,q) is generalized to line parallelisms of PG(2^{a}-1,K), where K is an arbitrary skewfield admitting a suitable sequence of quadratic skewfield extensions.


DOI Code: 10.1285/i15900932v21n2p57

Keywords: Parallelism; Extension; Spread

Classification: 51E23; 51A40

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