Timeline for Minimal generating sets of groups
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 14, 2014 at 15:32 | vote | accept | pgraf | ||
| Jan 14, 2014 at 8:31 | answer | added | Geoff Robinson | timeline score: 3 | |
| Jan 14, 2014 at 6:29 | answer | added | Igor Pak | timeline score: 14 | |
| Jan 13, 2014 at 22:52 | answer | added | Derek Holt | timeline score: 20 | |
| Jan 13, 2014 at 21:35 | comment | added | Derek Holt | A Tarski Monster is certainly a counterexample. | |
| Jan 13, 2014 at 21:26 | comment | added | Mustafa Gokhan Benli | Wouldn't an infinite group whose Frattini subgroup of finite index be an example? | |
| Jan 13, 2014 at 21:00 | comment | added | Gerhard Paseman | For groups, I don't know. For general algebras, here is an infinite example. Take an algebra with an injective and nonsurjective map u(x), consider a subalgebra S including and generated by an element b, and add to the unary operation u the unary operation c which satisfies c(x)=b. Then S with the operations u and c has minimal generating sets of size 1. (So does S with u and without c, but that is a little harder to see.) Even though S is not a group, it inspires me to hope there are infinite groups with such bounds. Gerhard "General Algebraic Desires Spring Eternal" Paseman, 2014.01.13 | |
| Jan 13, 2014 at 20:34 | history | asked | pgraf | CC BY-SA 3.0 |