Displaying similar documents to “Erlangen program at large-1: geometry of invariants.”

On some issues concerning polynomial cycles

Tadeusz Pezda (2013)

Communications in Mathematics

Similarity:

We consider two issues concerning polynomial cycles. Namely, for a discrete valuation domain R of positive characteristic (for N ≥ 1 ) or for any Dedekind domain R of positive characteristic (but only for N ≥ 2 ), we give a closed formula for a set 𝒞 Y C L ( R , N ) of all possible cycle-lengths for polynomial mappings in R N . Then we give a new property of sets 𝒞 Y C L ( R , 1 ) , which refutes a kind of conjecture posed by W. Narkiewicz.

On elementary moves that generate all spherical latin trades

Aleš Drápal (2009)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

We show how to generate all spherical latin trades by elementary moves from a base set. If the base set consists only of a single trade of size four and the moves are applied only to one of the mates, then three elementary moves are needed. If the base set consists of all bicyclic trades (indecomposable latin trades with only two rows) and the moves are applied to both mates, then one move suffices. Many statements of the paper pertain to all latin trades, not only to spherical ones. ...