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A game for which each player has a different set of moves in any position. Every position in an impartial game has a nim-value.

A set P is called perfect if P=P^', where P^' is the derived set of P.

An integral which is equivalent to the Denjoy integral "in the restricted sense."

A braid in which strands are intertwined in the center and are free in "handles" on either side of the diagram.

The ring R[x] of polynomials in a variable x.

A prime field is a finite field GF(p) for p is prime.

A group that has a primitive group action.

A superset which is not the entire set.

A group G is quasi-unipotent if every element of G of order p is unipotent for all primes p such that G has p-group rank >=3.

A finite group L is quasisimple if L=[L,L] and L/Z(L) is a simple group.