Dan Saracino

Refined Restricted Permutations

Abstract. Define

Proofs and generalizations of a homomesy conjecture of Propp and Roby

S_{k}^n (\alpha)

On the asymptotic minimum number of monochromatic 3-term arithmetic progressions

to be the set of permutations of {1, 2,...,n} with exactly k fixed points which avoid the pattern

Refined restricted involutions

\alpha\in S_m

Finitely generic abelian lattice-ordered groups

. Let

On homogeneous nilpotent groups and rings

S_{k}^n (\alpha)

QE nil-2 groups of exponent 4

be the size of

Existentially Complete Torsion-Free Nilpotent Groups

S_{k}^n (\alpha)

Regular ArticleOn a Combinatorial Problem from the Model Theory of Wreath Products, III☆

. We investigate

Modified growth diagrams, permutation pivots, and the BWX map φ

S_{n}^0 (\alpha)