Commutators( matrix-list )
It returns a set containing the non-trivial commutators of all pairs of matrices in matrix list.
IsDiagonal( matrix )
If a matrix, matrix, is diagonal, it returns true, else false.
IsScalar( matrix )
If a matrix, matrix, is scalar, it returns true, else false.
DisplayMat( matrix-list )
DisplayMat( matrix )
It converts the entries of a matrix defined over a finite field into integers and ``pretty-prints" the result. All matrices in matrix list must be defined over the same finite field.
ChooseRandomElements(G, NmrElts)
ChooseRandomElements(module, NmrElts)
It takes as input either a matrix group G, or a G-module module, and returns NmrElts pseudo-random elements.
ElementOfOrder(G, RequiredOrder, NmrTries)
ElementOfOrder(module, RequiredOrder, NmrTries)
It takes as input either a matrix group G, or a G-module module,
and searches for an element of order RequiredOrder. It examines at
most NmrTries elements before returning false.
ElementWithCharPol(G, order, pol, NmrTries)
ElementWithCharPol(module, order, pol, NmrTries)
It takes as input either a matrix group G, or a G-module module.
It searches for an element of order order and characteristic polynomial
pol. It examines at most NmrTries pseudo-random elements before
returning false.
LargestPrimeOrderElement(G, NmrTries)
LargestPrimeOrderElement(module, NmrTries)
It takes as input either a matrix group G, or a G-module module. It generates NmrTries pseudo-random elements and determines which elements of prime order can be obtained from powers of each; it returns the largest found and its order as a list.
LargestPrimePowerOrderElement(G, NmrTries)
LargestPrimePowerOrderElement(module, NmrTries)
It takes as input either a matrix group G, or a G-module module. It generates NmrTries pseudo-random elements and determines which elements of prime-power order can be obtained from powers of each; it returns the largest found and its order as a list.
GAP 3.4.4