On the commutant algebras corresponding to the permutation representation of the full collineation groups of \(PG(k,s)\) and \(EG(k,s)\), \(s=p^ r\), \(k\geq 2\)

DOI10.1016/0022-247X(82)90114-7zbMath0503.51010MaRDI QIDQ1173277

Catherine T. Burton, I. M. Chakravarti

Publication date: 1982

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

zbMATH Keywords

dimensionfinite projective geometrypermutation representationlinear basisfull collineation groupcommutant algebra

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) 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 ⋮ General balance and treatment permutations

Cites Work

• Properties of certain classes of experimental block designs and correlation characteristics of observations
• 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
• On the algebras of symmetries (groups of collineations) of designs from finite Desarguesian planes with applications in statistics
• The Relationship Algebra of an Experimental Design
• The Algebra of a Linear Hypothesis
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