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Two curves are tangent externally at a point P if they lie on opposite sides of their common tangent at P
Two curves are tangent internally at a point P if they lie on the same side of their common tangent at P
A rotation group is a group in which the elements are orthogonal matrices with determinant 1. In the case of three-dimensional space, the rotation group is known as the ...
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.
The Ree group R(q) is the automorphism group of a S(2,q+1,q^3+1) Steiner system.
The Tits group is a group of order 17971200. It is implemented in the Wolfram Language as TitsGroupT[].
A group in which the elements are square matrices, the group multiplication law is matrix multiplication, and the group inverse is simply the matrix inverse. Every matrix ...
A proper subgroup is a proper subset H of group elements of a group G that satisfies the four group requirements. "H is a proper subgroup of G" is written H subset G. The ...
A finite group is a group having finite group order. Examples of finite groups are the modulo multiplication groups, point groups, cyclic groups, dihedral groups, symmetric ...
A normalizer of a nontrivial Sylow p-subgroup of a group G.
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