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The Janko groups are the four sporadic groups J_1, J_2, J_3 and J_4. The Janko group J_2 is also known as the Hall-Janko group. The Janko groups are implemented in the ...

An element of order 2 in a group (i.e., an element A of a group such that A^2=I, where I is the identity element).

A polynomial x^n+a_(n-1)x^(n-1)+...+a_1x+a_0 in which the coefficient of the highest order term is 1.

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 Tits group is a group of order 17971200. It is implemented in the Wolfram Language as TitsGroupT[].

A closed trail is called a circuit when it is specified in cyclic order but no first vertex is explicitly identified.

A derivative of a complex function, which must satisfy the Cauchy-Riemann equations in order to be complex differentiable.

If F is a group, then the extensions G of F of order o with G/phi(G)=F, where phi(G) is the Frattini subgroup, are called Frattini extensions.

If the difference between the order and the dimension of a series is less than the curve genus, then the series is special.

The ordinal number of a value in a list arranged in a specified order (usually decreasing).