MeatAxe
2.4
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mktree Options [-n] [-g NGen] Name
This program enumerates all elements of a finitely generated matrix group. By default, the program assumes that the group has two generators, which are read from Name.1 and Name.2. A different number of generators can be specified with "-g".
Unless the "-n" option is used, the program writes the element tree to Name.elt. The element tree describes how the group elements can be calculated as products of generators. It is actually a matrix with two columns and one row for each group element. The i-th row of this matrix describes how the i-th element is calculated:
The following example shows the output for a group of the order 10 with two generators, a and b:
Line Contents Meaning ---- -------- --------------- 1 -1 -1 identity matrix 2 0 0 a 3 0 1 b 4 1 0 aa 5 1 1 ab 6 3 0 aaa 7 3 1 aab 8 5 0 aaaa 9 5 1 aaab 10 7 1 aaaab
The program holds all group elements in memory. This limits the application of the program to fairly small groups and representations of small degree.