1999 | 1998 | 1997 | 1996 | 1995 | 1994 | 1993 | 1992 | 1991 | 1990

2009

• Singular lines of trilinear forms,   
  http://arxiv.org/abs/0909.5676
  Jan Draisma and Ron Shaw
  
  
• The cubic Segre variety in PG(5,2),
  Des. Codes Cryptogr., 51 (2009) 141-156
  R. Shaw and N.A. Gordon
  

2008

• Trivectors and cubics: PG(5,2) aspects
  [Prepared in advance of my talk at Combinatorics 2008, Costermano 22-28 June 2008.]
  R. Shaw
  
• Trivectors yielding spreads in PG(5,2)
  Submitted
  R. Shaw
• The polynomial degree of Grassmann and Segre varieties over GF(2).
  Discrete Math., 308 (2008) 872-879.
  R.Shaw
  

2007

• The cubic Segre variety S_1,2,2 in PG(5,2),
  R. Shaw and N.A. Gordon
  
• The psi-associate X# of a flat X in PG(n,2),
  Des. Codes Cryptogr., 45 (2007) 229-246
  R. Shaw
  
• The associate U# of a flat U with respect to a cubic hypersurface in PG(5,2)
  (The basis for my talk at BCC21, Reading, July 2007.)
  R.Shaw
  

return to top

• The polynomial degree of the Grassmannian G_{1,n,2}.  
  Designs, Codes and Cryptography, 39 (2006) 289-306
  
R. Shaw and N.A. Gordon

2005  

• The quintic Grassmannian G_{1,4,2} in PG(9,2)
  
Designs, Codes and Cryptography 32 (2004) 381-396
R. Shaw and N.A. Gordon
 
• Classification of partial spreads in PG(4,2)
  
(Update of 2000 paper)
N.A.Gordon, R.Shaw and L.H.Soicher 

return to top 

• Conclaves of planes in PG(4,2) and certain planes external to the Grassmannian G_{1,4,2} in PG(9,2) 
  
J. Geom. 78 (2003) 168-180
R. Shaw and J.G. Maks
 
• Some aspects of the linear groups GL(n,q).
  
(extended version of `Aspects of the linear groups GL(n,2)')
N.A. Gordon, T.M. Jarvis and R. Shaw
 
• The associate X# of a flat X in PG(n,2) with respect to a given hypersurface
  (much larger version of `The quintic Grassmannian G_{1,4,2} in PG(9,2)')
  
R. Shaw and N.A. Gordon

return to top 

• Flats in PG(9,2) external to the Grassmannian G{1,4,2}: part II 
  
R. Shaw, J.G. Maks and N.A. Gordon

return to top 

• Flats in PG(9,2) external to the Grassmannian G{1,4,2} (ps version4)
  
R. Shaw, J.G.Maks and N.A.Gordon 

return to top 

• Subsets of PG(n,2) and maximal partial spreads in PG(4,2),
  
Designs Codes and Cryptography 21 (2000) 209-222.
R. Shaw
 
• Classification of partial spreads in PG(4,2) (ps version3)
  
(earlier version of 2004 paper)
N.A.Gordon, R.Shaw and L.H.Soicher 
 
• Partial spreads in PG(4,2)
  
N.A. Gordon, R. Shaw and L.H. Soicher
 
• Partial spreads in PG(4,2): Sym(6) aspects
  
R. Shaw

return to top 

• A property of A 7, and a maximal 3-dimensional linear section of GL(4,2),
  Discrete Math., 197/198 (1999), 733-747. 
  
R. Shaw
 
• Configurations of planes in PG(5,2),
  Discrete Math. 208/209 (1999), 529-546.
  
R. Shaw

return to top 

• Linear sections of GL(4,2),
  Bull. Belg. Math. Soc. 5 (1998), 287-311.
  N.A. Gordon, G. Lunardon and R. Shaw 
  

• The classes of GL(n,q) 
  
R. Shaw
 
• Every element of GammaL(V) of finite order has a long cycle, 
  
R. Shaw
 
• The classes of GL(n,2), n <= 6, 
  
(precursor of 2005 paper) 
N.A. Gordon, T.M. Jarvis and R. Shaw
 
• Sp(2m,2) inside GL(2m,2),  
  
N.A. Gordon, T.M. Jarvis and R. Shaw

return to top 

• Double-fives and partial spreads in PG(5,2),
  pp.201-216, in Geometry, Combinatorial Designs and Related Structures, Proc. of the First Pythagorean Conference, Spetses, Greece 1996, eds. J.W.P.  Hirschfeld,  S.S. Magliveras & M.J. de Resmini, Cambridge University Press (1997)  
  
R. Shaw
 
• Icosahedral sets in PG(5,2),
  
Europ. J. of Combinatorics 18 (1997) 315-339. 
R. Shaw
 
• Linear sections of GL(n,2), 
  
N. A. Gordon and R. Shaw

return to top 

1995

• Finite geometry, Dirac groups and the table of real Clifford algebras,
  pp. 59-99, in R. Ablamowicz and P. Lounesto, eds., Clifford Algebras and Spinor Structures (Kluwer Acad. Pubs., Dordrecht, 1995).
  
R. Shaw
 
• Cubic sets in PG(5,2) of hyperbolic and elliptic types,
  
R. Shaw and N. A. Gordon

return to top 

• Projective geometry codes over prime fields,
  pp.151-163, in Contribution to the AMS Contemporary Mathematics Series, Vol. 168, Finite Fields: Theory, Applications and Algorithms, eds. G. Mullen & P.J.-S. Shiue, Amer. Math. Soc. (1994).
  
J.W.P. Hirschfeld and R.Shaw
 
• Generalization to PG(n,q) of recent PG(n,2) and PG(n,p) results,
  
R. Shaw
 
• The lines of PG(4,2) are the points of a quintic in PG(9,2),
  
J. Combin. Theory (A), 68 (1994), 226-231. 
R. Shaw and N. A. Gordon
 
• Finite geometry, Dirac groups and the table of real Clifford algebras.
  
(extended version of 1995 chapter, see above.) 
R. Shaw
 
• Composition algebras and PG(m,2),
  
J. Geom. 51, (1994), 50-59. 
N.A. Gordon, T.M.Jarvis, J.G.Maks and R.Shaw 

return to top 

• Composition algebras, PG(m,2) and non-split group extensions,
  pp. 467-470, in Proc. of XIXth International Colloquium on Group Theoretical Methods in Physics, Salamanca 1992, eds. M. A. del Olmo et al., Anales de Fisica, Monografias, Vol. 1, CIEMAT/RSEF, Madrid 1993. 
  R. Shaw
  

 
• Finite geometry and the table of real Clifford algebras,
  pp. 23-31, in Contribution to Clifford Algebras and their Applications in Mathematical Physics, (Proceedings of Third Conference, Deinze, Belgium, 1993), eds. F. Brackx et al., Kluwer Academic Pubs., (1993).
  
R. Shaw

return to top 

• A characterization of the primals in PG(m,2),
  
Designs, Codes and Crypt. 2 (1992), 253-256. 
R. Shaw
 
• Finite geometries and Clifford algebras III,
  pp. 121-132, in Proc. of the 2nd Workshop on Clifford Algebras and their Applications in Mathematical Physics, Montpellier, France, (1989); eds. A.Micali et al., Kluwer Acad. Pubs. (1992).
  R. Shaw

return to top 

• Symmetry,
  pp. 75-116, in Mathematical Perspectives, Four Recent Inaugural Lectures,
  Hull University Press (1991).
  
R. Shaw
 
• Clifford algebras, spinors and finite geometries,
  pp. 527-530, in Proc. of XVIIIth Intern. Colloq. on Group Theoretical Methods in Physics, Moscow, 1990, Springer Lecture Notes in Physics 382 (1991). 
  
R. Shaw

return to top 

• Ternary composition algebras, I: Structure theorems: definite and neutral signatures, 
  
Proc. Roy. Soc. Lond. A 431 (1990), 1-19. 
R. Shaw
 
• Ternary composition algebras, II: Automorphism groups and subgroups,
  
Proc. Roy. Soc. Lond. A 431 (1990), 21-36. 
R. Shaw
 
• Finite geometries and Clifford algebras II.,
  
J. Math. Phys. 31 (1990), 1315-1324. 
R. Shaw and T.M.Jarvis 
 
• Area in the Minkowski plane,
  
Int. J. Math. Educ. Sci. Technol. 21 (1990) 411-415. 
R. Shaw