Timeline for Fantastic properties of Z/2Z
Current License: CC BY-SA 3.0
9 events
when toggle format | what | by | license | comment | |
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Nov 4, 2014 at 12:29 | comment | added | Emil Jeřábek | Ah, all right, I forgot about this terminological ambiguity. | |
Nov 3, 2014 at 12:13 | comment | added | Todd Trimble♦ | @AntonKlyachko Okay, thanks for clarifying. The boldfaced "is" in your response to Emil sounded to me like a correction, when in fact what he wrote was already correct according to his word usage (and resonates in other ways as well). | |
Nov 3, 2014 at 7:42 | comment | added | Anton Klyachko | @Todd, I understand you but I prefer to use slightly different terminology. See this discussion in comments: mathoverflow.net/q/92972/24165 | |
Nov 3, 2014 at 7:21 | comment | added | Todd Trimble♦ | @AntonKlyachko Every group of exponent two is a direct sum of two-element groups. (Finite direct sums coincide with finite direct products, but infinite direct sums need not be infinite direct products.) | |
Nov 3, 2014 at 2:13 | comment | added | Anton Klyachko | @Emil, every group of exponent two is a direct product of several two-element groups (if you believe the Axiom of Choice). | |
Nov 2, 2014 at 12:44 | history | edited | sure | CC BY-SA 3.0 |
added 52 characters in body
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Nov 2, 2014 at 12:39 | comment | added | Emil Jeřábek | Every group of exponent 2 has this property. These are not just products of $\mathbb Z/2\mathbb Z$, you also have to close them under subgroups. Again, this doesn't make the two-element group special, as every nontrivial group of exponent 2 generates the class of all of them using products and subgroups. | |
S Nov 2, 2014 at 10:22 | history | answered | sure | CC BY-SA 3.0 | |
S Nov 2, 2014 at 10:22 | history | made wiki | Post Made Community Wiki by sure |