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The geometry of groups satisfying weak almost-convexity or weak geodesic-combability conditions
almost-convexity geodesic-combability
2015/8/26
We examine the geometry of the word problem of two different types groups: those satisfying weak almost-convexity conditions and those admitting geodesic combings whose width satisfy minimally restric...
THE ASSOCIATIVE OPERAD AND THE WEAK ORDER ON THE SYMMETRIC GROUPS
Hopf algebr factorizable inverse monoid uniform block permutation
2015/8/14
We introduce the Hopf algebra of uniform block permutations and show that
it is self-dual, free, and cofree. These results are closely related to the fact that uniform
block permutations form a fact...
Construction of fractional factorial split-plot designs with weak minimum aberration
Factorial design Split-plot Weak minimum aberration
2015/3/18
Fractional factorial split-plot (FFSP) designs with minimum aberration have received
much attention in industrial experiments. But they are not so easy to be constructed for the
cases when there are...