### Abstract

We consider the problem of extending the linear space of points and lines in the projective 3-space PG(3, 3) to a projective plane of order 12. This was shown to be impossible by M. Hall and R. Roth in 1982 but their paper omits consideration of some cases and we correct this error. The conclusion remains the same. © 1999 Elsevier Science B.V. All rights reserved.

Original language | English |
---|---|

Pages (from-to) | 477-483 |

Number of pages | 7 |

Journal | Discrete Mathematics |

Volume | 208-209 |

Publication status | Published - 28 Oct 1999 |

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*Discrete Mathematics*,

*208-209*, 477-483.

}

*Discrete Mathematics*, vol. 208-209, pp. 477-483.

**Projective planes of order 12 and PG(3, 3).** / Prince, Alan R.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Projective planes of order 12 and PG(3, 3)

AU - Prince, Alan R.

PY - 1999/10/28

Y1 - 1999/10/28

N2 - We consider the problem of extending the linear space of points and lines in the projective 3-space PG(3, 3) to a projective plane of order 12. This was shown to be impossible by M. Hall and R. Roth in 1982 but their paper omits consideration of some cases and we correct this error. The conclusion remains the same. © 1999 Elsevier Science B.V. All rights reserved.

AB - We consider the problem of extending the linear space of points and lines in the projective 3-space PG(3, 3) to a projective plane of order 12. This was shown to be impossible by M. Hall and R. Roth in 1982 but their paper omits consideration of some cases and we correct this error. The conclusion remains the same. © 1999 Elsevier Science B.V. All rights reserved.

UR - http://www.scopus.com/inward/record.url?scp=0043283433&partnerID=8YFLogxK

M3 - Article

VL - 208-209

SP - 477

EP - 483

JO - Discrete Mathematics

JF - Discrete Mathematics

SN - 0012-365X

ER -