Timeline for Universe-sized groups with only set-sized normal subgroups, their cardinality in a certain range
Current License: CC BY-SA 3.0
13 events
| when toggle format | what | by | license | comment | |
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| Nov 10, 2017 at 0:17 | vote | accept | David Roberts♦ | ||
| Dec 2, 2011 at 16:42 | comment | added | Goldstern | You posted the same question to FOM on Nov 20. I think it makes sense to link to such crosspostings, to avoid duplication of work. See cs.nyu.edu/pipermail/fom/2011-November/015964.html | |
| Nov 21, 2011 at 17:09 | answer | added | Goldstern | timeline score: 2 | |
| Nov 21, 2011 at 4:40 | history | edited | David Roberts♦ | CC BY-SA 3.0 |
added 451 characters in body; edited title; added 48 characters in body; Post Made Community Wiki
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| Nov 21, 2011 at 0:55 | comment | added | Benjamin Steinberg | Ok, maybe somebody will answer my wacky version. | |
| Nov 21, 2011 at 0:53 | comment | added | David Roberts♦ | @Benjamin, I'm thinking of a pair of groups $L \lt G$ of cardinality $\geq \kappa$ such that $L$ contains no normal $N \lt G$ of cardinality $\kappa$. But if I can just take $G$ simple, then I am done. | |
| Nov 20, 2011 at 21:07 | history | edited | David Roberts♦ | CC BY-SA 3.0 |
Fixed typo
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| Nov 20, 2011 at 20:53 | comment | added | David Roberts♦ | Whoops, I did mean |N| < lambda. You've answered my question Goldstern, thanks. | |
| Nov 20, 2011 at 16:31 | comment | added | S. Carnahan♦ | Benjamin Steinberg's version of this question sounds interesting. | |
| Nov 20, 2011 at 14:19 | comment | added | Benjamin Steinberg | Maybe he means $\lambda$-simple and not $\lambda'$-simple for $\lambda'<\lambda$. Some motivation would make this clearer. | |
| Nov 20, 2011 at 13:41 | history | edited | Goldstern |
edited tags
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| Nov 20, 2011 at 12:47 | comment | added | Goldstern | Do you mean $\le \lambda$ or $<\lambda$? Anyway, it seems to me that every simple group is $\lambda$-simple, or have I misunderstood the question? There are simple groups of any cardinality $\kappa$, e.g. the set of "even" permutations on a set of size $\kappa$. (The smallest normal subgroup containing all 3-cycles.) | |
| Nov 20, 2011 at 10:32 | history | asked | David Roberts♦ | CC BY-SA 3.0 |