engleski

Triplanes for (71, 15, 3) admitting a solvable group of order 168 acting non-semistandardly

Triplanes for (71, 15, 3) admitting an automorphism group E8.F21, acting non-semistandardly, have been investigated. Here E8.F21 is a faithful exstension of an elementary abelian group E8 of order 8 by a Frobenius group F21 of order 21. It is shown by efficient methods, that exactly six such triplanes exist together with their duals.They are all non-self-dual. One of these pairs of triplanes has not been known so far.

symmetric design; automorphism group; orbit structure; classification

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