Daniel Yoo wrote:

>  On Sat, 28 Apr 2001, Sheila King wrote:

> 

>  > The axioms (basic rules) for a group are:

>  > ( where the dot (•) symbolizes some operation...)

>  >

>  >    1.CLOSURE: If a and b are in the group then a • b is also in the group.

>  >    2.ASSOCIATIVITY: If a, b and c are in the group then (a • b) • c = a • (b •

>  > c).

>  >    3.IDENTITY: There is an element e of the group such that for any element a

>  > of the group

>  >      a • e = e • a = a.

>  >    4.INVERSES: For any element a of the group there is an element a^(-1) such

>  > that

>  >           a • a^(-1) = e

>  >           and

>  >           a^(-1) • a = e

> 


The pb is that my computer can't handle very well infinite sets... how does a
program like Mapple handle this kind of things ?
How can i implement something whose cardinal is Cantor something (ie. infinite) ?
Although i remember what a group is , i don't remember what groups are useful
for....... any math teachers?

Benoit



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