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

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

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

A group that has a primitive group action.

An m-ary n-ic polynomial (i.e., a homogeneous polynomial with constant coefficients of degree n in m independent variables).

((a+b)/2)^2-((a-b)/2)^2=ab.

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.

The conjugate of a quaternion a=a_1+a_2i+a_3j+a_4k is defined by a^_=a_1-a_2i-a_3j-a_4k.

The norm n(a) of a quaternion a=a_1+a_2i+a_3j+a_4k is defined by n(a)=sqrt(aa^_)=sqrt(a^_a)=sqrt(a_1^2+a_2^2+a_3^2+a_4^2), where a^_=a_1-a_2i-a_3j-a_4k is the quaternion ...