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Let E be an elliptic curve defined over the field of rationals Q(sqrt(-d)) having equation y^2=x^3+ax+b with a and b integers. Let P be a point on E with integer coordinates ...

For a permutation alpha in the symmetric group S_p, the alpha-permutation graph of a labeled graph G is the graph union of two disjoint copies of G (say, G_1 and G_2), ...

The image of A_5×A_5 in the special orthogonal group SO(4), where A_5 is the icosahedral group.

The homeomorphism group of a topological space X is the set of all homeomorphisms f:X->X, which forms a group by composition.

One of the symmetry groups of the Platonic solids. There are three polyhedral groups: the tetrahedral group of order 12, the octahedral group of order 24, and the icosahedral ...

An anyon is a projective representation of a Lie group.

A permutation group in which the permutations are limited to transpositions.

The unitary group U_n(q) is the set of n×n unitary matrices.

The free part of the homology group with a domain of coefficients in the group of integers (if this homology group is finitely generated).

A group G such that the quotient group G/Z(G), where Z(G) is the group center of G, is Abelian. An equivalent condition is that the commutator subgroup G^' is contained in ...