FiniteGroupCount[n] gives the number of finite groups of order n.

GroupElementQ[group, g] returns True if the object g is an element of group and False otherwise.

ImageTake[image, n] gives an image consisting of the first n rows of image.ImageTake[image, -n] gives an image consisting of the last n rows of image.ImageTake[image, {row_1, ...

LongestCommonSubsequence[s_1, s_2] finds the longest contiguous subsequence of elements common to the strings or lists s_1 and s_2.

Pick[list, sel] picks out those elements of list for which the corresponding element of sel is True. Pick[list, sel, patt] picks out those elements of list for which the ...

RangeFilter[image, r] filters image by replacing every pixel by the difference of the maximum and minimum in its range r neighborhood. RangeFilter[data, r] applies a range ...

RidgeFilter[image] computes a measure for the presence of a ridge for each pixel in image.RidgeFilter[image, \[Sigma]] uses the specified ridge scale \[Sigma].

Speak[expr] speaks a spoken representation of the expression expr.

VertexOutComponent[g, {v_1, v_2, ...}] gives the vertices in the graph g that have a directed path from at least one of v_1, v_2, ....VertexOutComponent[g, {v_1, v_2, ...}, ...

This tutorial introduces some basic algorithms for computing with finite permutation groups, other than those introduced in "Permutation Groups". A subgroup H of a group G ...