Distributive block structures and their automorphisms

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)peer-review


The experimental units in a statistical experiment are frequently grouped into blocks in one or more ways. When the different families of blocks fit together in a well-behaved way we have a distributive block structure. We show that the orbits of the automorphism group of a distributive block structure on pairs of experimental units are precisely the sets which the combinatorial structure leads one to expect. Possible generalizations of this result are discussed.
Original languageEnglish
Title of host publicationCombinatorial Mathematics VIII
Subtitle of host publicationProceedings, Geelong, Australia, 1980
EditorsKevin L. McAvaney
Place of PublicationBerlin
Number of pages10
ISBN (Print)3-540-10883-1
Publication statusPublished - 1981

Publication series

NameLecture Notes in Mathematics


Dive into the research topics of 'Distributive block structures and their automorphisms'. Together they form a unique fingerprint.

Cite this