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Partial spreads in PG(4,2) and flats in PG(9,2) external to the Grassmannian G1,4,2 (2005)
Journal Article
Maks, J. G., Shaw, R., & Gordon, N. A. (2005). Partial spreads in PG(4,2) and flats in PG(9,2) external to the Grassmannian G1,4,2. Discrete Mathematics, 301(1), 137-146. doi:10.1016/j.disc.2004.11.023

We consider the following 'even hyperplane construction'of flats in the projective space PG(9, 2) = P(boolean AND(2) V(5, 2)) which are external to the Grassmannian G(1,4,2) of lines of PG(4,2). Let the Grassmann image in G(1,4,2) of a partial spread... Read More

The classification of flats in PG (9, 2) which are external to the grassmannian script G sign1,4,2 (2005)
Journal Article
Gordon, N. A., Maks, J. G., & Shaw, R. (2005). The classification of flats in PG (9, 2) which are external to the grassmannian script G sign1,4,2. Designs, codes, and cryptography, 34(2-3), 203-227. doi:10.1007/s10623-004-4855-6

Constructions are given of different kinds of flats in the projective space$$PG(9,2)={\mathbb P}(\wedge^{2}V(5,2))$$which are external to the Grassmannian$${\cal G}_{\bf 1,4,2}$$of lines ofPG(4,2). In particular it is shown that there exist precisely... Read More

Aspects of the linear groups GL(n,2) (2005)
Journal Article
(2005). Aspects of the linear groups GL(n,2)

We provide tables which summarize various aspects of the Önite linear groups GL(n; 2); n < 7; in their action upon the vector space Vn = V (n; 2) and upon the associated projective space PG(n 1; 2): It is intended that the tabulated results s... Read More

Experiences of embedding Information Technology into discipline based teaching (2005)
Journal Article
(2005). Experiences of embedding Information Technology into discipline based teaching. Innovation in teaching and learning in information and computer sciences, 4(1), 1-9. doi:10.11120/ital.2005.04010002

In this paper we will reflect upon some of the experiences that the author had whilst supporting the embedding of Information Technology (I.T.) into a U.K. mathematics department’s undergraduate teaching. The paper includes some examples of the... Read More