Let H be a group in which h²=Ifor all h is an element of H.

Prove: Suppose |H|<∞.Let {h₁,h₂,…..hn} be minimal set of generators for H. then http://www.mathhelpforum.com/math-he...2647988b-1.gif

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- Nov 8th 2009, 06:19 PMapple2009Prove: Suppose |H|<∞. then
Let H be a group in which h²=

*I*for all h is an element of H.

Prove: Suppose |H|<**∞.**Let {h₁,h₂,…..hn} be minimal set of generators for H. then http://www.mathhelpforum.com/math-he...2647988b-1.gif - Nov 9th 2009, 12:00 AMNonCommAlg
H is abelian, because for any which gives us thus every element of H is in the form where

to finish the proof, you only need to show that such a presentation for an element of H is unique. this is a result of the set being a__minimal__set of generators:

if and say then and so would be a__smaller__set of generators for H. contradintion!