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Timeline for Fantastic properties of Z/2Z

Current License: CC BY-SA 3.0

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Apr 13, 2017 at 12:58 history edited CommunityBot
replaced http://mathoverflow.net/ with https://mathoverflow.net/
Nov 9, 2014 at 14:29 comment added Anton Klyachko I added these features, thanks, @Sam.
Nov 9, 2014 at 14:26 history edited Anton Klyachko CC BY-SA 3.0
added 189 characters in body
Nov 9, 2014 at 13:44 comment added Sam Nead Oh, that looks nice - I'll have to think about that. By the way, I sort of want to edit your answer: $Z_2 * Z_2$ is the only non-trivial free product that is two-ended (thus is virtually cyclic) while all others have infinitely many ends (so contain rank two free groups, etc).
Nov 9, 2014 at 11:12 comment added Anton Klyachko @Sam, I bet your single identity forms a basis of identities of the group. (This means that all other identities are consequences of this one.)
Nov 9, 2014 at 10:51 comment added Sam Nead There are several nice identities - the simplest after a few moments thought is $[x^2, y^2]$.
Nov 3, 2014 at 7:46 comment added Anton Klyachko @Denis, of course not. The infinite dihedral group $Z/2Z*Z/2Z$ has elements of infinite order.
Nov 3, 2014 at 7:40 comment added Denis Serre Let me try, the identity $x^2=e$ ?
Jan 21, 2014 at 17:59 history edited Anton Klyachko CC BY-SA 3.0
added 12 characters in body
S Jan 21, 2014 at 17:52 history answered Anton Klyachko CC BY-SA 3.0
S Jan 21, 2014 at 17:52 history made wiki Post Made Community Wiki by Anton Klyachko