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When the group order h of a finite group is a prime number, there is only one possible group of group order h. Furthermore, the group is cyclic.

If p^k is the highest power of a prime p dividing the order of a finite group G, then a subgroup of G of order p^k is called a Sylow p-subgroup of G.

A second-order ordinary differential equation of the form

The dimension of a special series can never exceed half its order.

A method for constructing magic squares of singly even order n>=6.

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

A method for constructing magic squares of odd order.

The straight polyomino of order n is the n-polyomino in which all squares are placed along a line.

The second-order ordinary differential equation y^('')=y^(3/2)x^(-1/2).

The partial differential equation 3/4U_y+W_x=0, (1) where W_y+U_t-1/4U_(xxx)+3/2UU_x=0 (2) (Krichever and Novikov 1980; Novikov 1999). Zwillinger (1997, p. 131) and Calogero ...