Timeline for Surjective group homomorphism sending minimal generating system to minimal generating system
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 28, 2020 at 20:15 | vote | accept | Shijie Gu | ||
| Dec 19, 2017 at 17:34 | comment | added | YCor | @ArturoMagidin I'm aware that when there are 4 interpretations of a question due to two boolean discussions, one option is to solve all four questions, pick the one which seems the less trivial, and answer it. Still, I've seem several instances on this site where the non-trivial interpretation was not the correct one. In any case, I'm asking for clarification and will vote to close as unclear if it doesn't come. | |
| Dec 19, 2017 at 17:31 | comment | added | Arturo Magidin | @YCor: The second part would show that "there exists a minimal generating set (whether of minimal cardinality or minimal in not properly containing a generating set) that is mapped to a minimal generating set" holds. | |
| Dec 19, 2017 at 16:54 | comment | added | Igor Rivin | I am not arguing that point. | |
| Dec 19, 2017 at 16:53 | comment | added | YCor | @ArturoMagidin you also interpreted "a" as "every". I'm still waiting for clarification from the OP. | |
| Dec 19, 2017 at 15:50 | history | edited | Arturo Magidin | CC BY-SA 3.0 |
add another possible interpretation
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| Dec 19, 2017 at 15:36 | comment | added | Arturo Magidin | @IgorRivin: If that's the case, then the answer is trivially yes, since generating sets map to generating sets under surjective maps. | |
| Dec 19, 2017 at 3:09 | comment | added | Igor Rivin | It is not clear that this is what the OP means by "minimal". He could mean "of mininal cardinality". | |
| Dec 19, 2017 at 0:27 | history | answered | Arturo Magidin | CC BY-SA 3.0 |