Difference between revisions of "Talk:Group (mathematics)"

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It doesn't make sense to speak of a positive root of x^2 + 1 = 0... --[[User:BRichtigen|BRichtigen]] 12:05, 17 November 2008 (EST)
 
It doesn't make sense to speak of a positive root of x^2 + 1 = 0... --[[User:BRichtigen|BRichtigen]] 12:05, 17 November 2008 (EST)
 
:You can't just say "the" square root of -1; there are two.  The positive square root is +i, as opposed to -i. -[[User:CSGuy|CSGuy]] 12:22, 17 November 2008 (EST)
 
:You can't just say "the" square root of -1; there are two.  The positive square root is +i, as opposed to -i. -[[User:CSGuy|CSGuy]] 12:22, 17 November 2008 (EST)
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::Of course, there are two. You choose ''a'' root of x^2 +1 = 0.But what does make the one positive, the other negative? Only because you named one ''i'' - arbitrarily, the other becomes its negative :-) 
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::--[[User:BRichtigen|BRichtigen]] 14:04, 17 November 2008 (EST)

Latest revision as of 13:04, 17 November 2008

The example in the text is not the Klein four group. All elements of the Klein four group (except the identity) have order 2. But i in the example has order 4. Beetbeet 14:27, 11 June 2007 (EDT)

Thank you. Please make your correction yourself. That's what this software is for. Godspeed.--Aschlafly 14:38, 11 June 2007 (EDT)
Ok, I made the correction. Beetbeet 15:56, 11 June 2007 (EDT)

IMO, it's important to give the most basic examples, first. What's about a group of matrices as an example of a non-abelian groub? Or would be better? DiEb 11:06, 2 August 2008 (EDT)

It doesn't make sense to speak of a positive root of x^2 + 1 = 0... --BRichtigen 12:05, 17 November 2008 (EST)

You can't just say "the" square root of -1; there are two. The positive square root is +i, as opposed to -i. -CSGuy 12:22, 17 November 2008 (EST)
Of course, there are two. You choose a root of x^2 +1 = 0.But what does make the one positive, the other negative? Only because you named one i - arbitrarily, the other becomes its negative :-)
--BRichtigen 14:04, 17 November 2008 (EST)