Originally Posted by

**alsn** hi,

i am given the group presentation

<x,y | x^8=1, x^4=y^2, xy=yx^{-1}>

and am told to prove that it defines a 2-group of order at most 16. i've been playing around with the relations but not really sure how to go about this. thought i might have to see how many different elements can be made and see that it's at most 16 but don't know about the 2-group part. in general i'm not sure how to go about finding information about a group knowing its presentation. any help?

thank youuu

xxx