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A curve and its polar reciprocal with regard to the fixed conic have the same Halphen transformation.

A group having an infinite number of elements. Some infinite groups, such as the integers or rationals, are not continuous groups.

The function K_n(x_0,x)=K_n(x,x_0)^_=K_n(x^_,x^__0) which is useful in the study of many polynomials.

An operator L^~ is said to be linear if, for every pair of functions f and g and scalar t, L^~(f+g)=L^~f+L^~g and L^~(tf)=tL^~f.

The double covering group of the (linear) symplectic group.

An orbifold is the object obtained by identifying any two points of a map which are equivalent under some symmetry of the map's group.

The Ree group R(q) is the automorphism group of a S(2,q+1,q^3+1) Steiner system.

A group which is related to the Taniyama-Shimura conjecture.

For a finite group G, let p(G) be the subgroup generated by all the Sylow p-subgroups of G. If X is a projective curve in characteristic p>0, and if x_0, ..., x_t are points ...

A quantity such as a polynomial discriminant which remains unchanged under a given class of algebraic transformations. Such invariants were originally called ...