GroupTheory
Operations
obtain a module of group operations
Calling Sequence
Parameters
Description
Examples
Compatibility
Operations(g)
g
-
group data structure
The procedure Operations returns a module exporting procedures that implement the group operations for the elements of g. The module is in the same format that Group accepts for specifying the operations on a custom group:
symbol
description
`.`
Two-argument procedure to compute group operation
`/`
One-argument procedure to invert element
`1`
Unit element of the group
`=`
Two-argument procedure to test equality
`<`
Two-argument procedure to determine ordering
print
One-argument procedure to display elements
withGroupTheory:
gens1≔Perm1,2,3,4,5,Perm1,2,3,4,5
gens1≔1,23,4,5,1,2,34,5
g1≔PermutationGroupgens1
g1≔1,23,4,5,1,2,34,5
ops1≔Operationsg1
ops1 ≔ modulelocalModuleApply,ModuleLoad;export`.`,`/`,`=`,`<`,print,1;end module
ops1:-`.`gens11,gens12
1,3,5
ops1:-`/`gens11
1,23,5,4
ops1:-`.`gens11,ops1:-`/`gens11
ops1:-`=`ops1:-`1`,
=
evalb
true
The GroupTheory[Operations] command was introduced in Maple 17.
For more information on Maple 17 changes, see Updates in Maple 17.
See Also
GroupTheory[Group]
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