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subgrel - represent a subgroup of a group

Calling Sequence

subgrel(gens, grelgrp)

Parameters

gens

-

set of equations designating the generators of the subgroup

grelgrp

-

the group for which this is a subgroup

Description

• 

The function subgrel is used as a procedure and an unevaluated procedure call. As a procedure, subgrel checks its arguments and then either exits with an error or returns the unevaluated subgrel call.

• 

The first argument is a set of equations or words on the generators of the parent group. The left side of each equation is the name of a subgroup generator; the right side is a word in the group generators (see grelgroup) representing the subgroup generator. If only a word is specified, then a name for the generator is produced automatically.

Examples

subgrelx=a,b,1a,grelgroupa,b,a,a,a,b,b

subgrelx=a,b,1a,grelgroupa,b,b,b,a,a,a

(1)

the next example will give an error:

subgrely=a,b,c,grelgroupa,b,a,a,b,a

Error, (in subgrel) generator [a, b, c] contains a syllable `c' that is not a generator, or the inverse of a generator, of the parent group

Maple will generate names for any unnamed generators:

subgrela,a,a,u=b,b,grelgroupa,b,a,b,1a,1b

subgrel_x=a,a,a,u=b,b,grelgroupa,b,a,b,1a,1b

(2)

See Also

grelgroup, permgroup


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