User talk:128.29.43.2

no, i think it works for even infinite group. according to your statement, you don't think theorem 5 holds for integers group, but actually it does.

let's define operator is addition + as literally it is, and therefore:

1. associativity holds naturally

2. 0 is e

3. for any $$n \in \mathbb{Z}$$, $$-n$$ is its $$n^{-1}$$

so if $$g = 2$$ in this case, the group $$\langle g \rangle$$ will be $$\{ ..., -4, -2, 0, 2, 4, ... \}$$ and so forth. it is a subgroup of integer group.

HuStmpHrrr (discuss • contribs) 14:21, 4 January 2016 (UTC)