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A normalizer of a nontrivial Sylow p-subgroup of a group G.

A polynomial x^n+a_(n-1)x^(n-1)+...+a_1x+a_0 in which the coefficient of the highest order term is 1.

Approximates the possible values of y in terms of x if sum_(i,j=0)^na_(ij)x^iy^j=0.

An element B of a ring is nilpotent if there exists a positive integer k for which B^k=0.

A system of parameter chain complexes used for multiplication on differential graded algebras up to homotopy.

An equation of the form P(x)=0, where P(x) is a polynomial.

A homogeneous polynomial in two or more variables.

If a polynomial P(x) is divided by (x-r), then the remainder is a constant given by P(r).

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

The difference between the highest and lowest degrees of a polynomial.