Timeline for A finite group that splits and does not split
Current License: CC BY-SA 3.0
3 events
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| Mar 21, 2018 at 7:23 | comment | added | YCor | The assumption is not only that the kernel is not $C$, but that the new quotient map does not split. Otherwise there's the trivial example $C_p\times C_p\to C_p$ (with nonfaithful action). So I see little point in removing one nontrivial assumption by the OP to claim the question is trivial, and add another assumption of yours to make it slightly less trivial. | |
| Mar 21, 2018 at 6:15 | history | edited | Glasby | CC BY-SA 3.0 |
changed an \ltimes to a \rtimes and added the word "this"
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| Mar 21, 2018 at 6:09 | history | answered | Glasby | CC BY-SA 3.0 |