68.14 Functions for MeatAxe Matrix Groups

The following functions are overlaid in the operations record of MeatAxe matrix groups.

Operation( G, M ) :

Let M a MeatAxe module acted on by the group G of MeatAxe matrices. Operation( G, M ) returns a permutation group with action on the points equivalent to that of G on the vectors of the module M.

RandomOrders( G ) :

returns a list with the orders of 120 random elements of the MeatAxe matrix group G.

It should be noted that no set theoretic functions (such as Size) are provided for MeatAxe matrix groups, and also group theoretic functions (such as SylowSubgroup) will not work.

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GAP 3.4.4
April 1997