On the algebras of symmetries (groups of collineations) of designs from finite Desarguesian planes with applications in statistics

DOI10.1016/0022-247X(82)90115-9zbMath0503.05011OpenAlexW1991325786MaRDI QIDQ1173092

Catherine T. Burton, I. M. Chakravarti

Publication date: 1982

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(82)90115-9

zbMATH Keywords

covariance matrixpermutation representationfinite Desarguesian planefull collineation group

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Ordinary representations and characters (20C15) Finite affine and projective planes (geometric aspects) (51E15) Combinatorial aspects of finite geometries (05B25) Statistical block designs (62K10)

Related Items (2)

A Spectral Analysis Approach for Experimental Designs ⋮ On the commutant algebras corresponding to the permutation representation of the full collineation groups of \(PG(k,s)\) and \(EG(k,s)\), \(s=p^ r\), \(k\geq 2\)

Cites Work

• Algebraic methods of investigating the correlation connections in incompletely balanced block-schemes for experiment design. II: Relationship algebras and characterization of covariance matrices in the case of symmetric block-schemes
• The Relationship Algebra of an Experimental Design
• The Algebra of a Linear Hypothesis
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