- #1
Bachelier
- 376
- 0
because the only thing the definition asks to check is the closure and inverse axioms?
this arose from a problem I was working on. elements with infinite order of an abelian grp G do not necessarly make a subgrp with 0. counter example: Z x Z3
consider (1,1),(-1,1) both with inf. order but their sum (0,2) has order 3.
sorry for the abbrev. I am sending this from my phone
this arose from a problem I was working on. elements with infinite order of an abelian grp G do not necessarly make a subgrp with 0. counter example: Z x Z3
consider (1,1),(-1,1) both with inf. order but their sum (0,2) has order 3.
sorry for the abbrev. I am sending this from my phone