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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 sequence of polynomials p_i(x), for i=0, 1, 2, ..., where p_i(x) is exactly of degree i for all i.

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

A group that has a primitive group action.

If a is (directly) proportional to b, then a/b is a constant. The relationship is written a proportional b, which implies a=cb, for some constant c known as the constant of ...

In the American system, 10^(15).

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.

In the American system, 10^(45).