Design isomorphisms and group isomorphisms
Copyright policy )Design isomorphisms and group isomorphisms
If two 2-(v,3,2)-designs S, \(S'\) have ``important'' groups of automorphisms ``enough alike'' each ``good'' isomorphism of S to \(S'\) can be induced by a (permutation-) group isomorphism. The main result of the paper give a partial result according this idea in a geometrical setting. It is too involved to be quoted here, but it is used for example to compute the ``good'' (similar to multiplicators) automorphisms of certain 2-(v,3,2) constructed using \(GF(p^ n)\), with \(p^ n=1\) (mod 6), and to give a table for the case \(p^ n=25\).
- Texas State University United States
- University of North Texas United States
Finite automorphism groups of algebraic, geometric, or combinatorial structures, multipliers, automorphisms of designs, Combinatorial aspects of block designs, 2-(v,3,2)-designs
Finite automorphism groups of algebraic, geometric, or combinatorial structures, multipliers, automorphisms of designs, Combinatorial aspects of block designs, 2-(v,3,2)-designs
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).2 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!