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Let P be a finite partially ordered set. A chain in P is a set of pairwise comparable elements (i.e., a totally ordered subset). The partial order length of P is the maximum ...

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.

The second-order ordinary differential equation (x^2y^')^'+x^2y^n=0.

The third-order ordinary differential equation y^(''')+alphayy^('')+beta(1-y^('2))=0.

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.