Regular packings in PG(3,q)

Tim Penttila; B. Williams

doi:10.1006/eujc.1998.0239

Regular packings in PG(3,q)

Tim Penttila, B. Williams

Graduate Research School

Research output: Contribution to journal › Article › peer-review

44 Citations (Scopus)

Abstract

Two regular packings of PG(3, q) are constructed whenever q = 2 (mod 3), with each packing admitting a cyclic group of order q(2) + q + 1 acting regularly on the regular spreads in the packing. The resulting families of translation planes of order q(4) include the Lorimer-Rahilly and Johnson-walker planes of order 16. (C) 1998 Academic Press.

Original language	English
Pages (from-to)	713-720
Journal	European Journal of Combinatorics
Volume	19
Issue number	6
DOIs	https://doi.org/10.1006/eujc.1998.0239
Publication status	Published - 1998

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10.1006/eujc.1998.0239

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title = "Regular packings in PG(3,q)",

abstract = "Two regular packings of PG(3, q) are constructed whenever q = 2 (mod 3), with each packing admitting a cyclic group of order q(2) + q + 1 acting regularly on the regular spreads in the packing. The resulting families of translation planes of order q(4) include the Lorimer-Rahilly and Johnson-walker planes of order 16. (C) 1998 Academic Press.",

author = "Tim Penttila and B. Williams",

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AB - Two regular packings of PG(3, q) are constructed whenever q = 2 (mod 3), with each packing admitting a cyclic group of order q(2) + q + 1 acting regularly on the regular spreads in the packing. The resulting families of translation planes of order q(4) include the Lorimer-Rahilly and Johnson-walker planes of order 16. (C) 1998 Academic Press.

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DO - 10.1006/eujc.1998.0239

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JO - European Journal of Combinatorics

JF - European Journal of Combinatorics

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ER -

Regular packings in PG(3,q)

Abstract

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