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Take K a number field and m a divisor of K. A congruence subgroup H is defined as a subgroup of the group of all fractional ideals relative prime to m (I_K^m) that contains ...

This problem is NP-complete (Garey and Johnson 1983).

The term "higher dimensional group theory" was introduced by Brown (1982), and refers to a method for obtaining new homotopical information by generalizing to higher ...

The study of number fields by embedding them in a local field is called local class field theory. Information about an equation in a local field may give information about ...

For a Galois extension field K of a field F, the fundamental theorem of Galois theory states that the subgroups of the Galois group G=Gal(K/F) correspond with the subfields ...

A set class which is not a set.

Definitions about a set which depend on the entire set.

A set considered together with the sigma-algebra on the set.

The set closure of the set of arguments of a function f for which f is not zero.

The set of points, known as boundary points, which are members of the set closure of a given set S and the set closure of its complement set. The boundary is sometimes called ...