Timeline for Følner sequences with weird shapes
Current License: CC BY-SA 4.0
8 events
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| Jan 14, 2021 at 11:40 | comment | added | Diego Martinez | @YCor you're right, but let me rephrase into "amenable groups where Følner sets are known explicitly, but balls are not known to be Følner". These are necessarily of exponential growth, but may be a strictly smaller class of groups. Regarding the use of "weird" I guess it's mostly personal taste, but I get your point. | |
| Jan 14, 2021 at 11:16 | comment | added | YCor | With such a definition, this might precisely be the class of amenable groups with exponential growth (and still I disagree that these are weird! rather I'd say that balls are complicated subsets). | |
| Jan 14, 2021 at 10:59 | comment | added | Diego Martinez | @YCor I guess dodd means amenable groups where no subsequence of balls forms a Folner sequence. I don't know whether that helps. | |
| Jan 14, 2021 at 9:42 | comment | added | YCor | What's the precise meaning of "groups where Følner sets are not balls"? | |
| Jan 14, 2021 at 8:13 | history | edited | markvs | CC BY-SA 4.0 |
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| Jan 14, 2021 at 7:55 | history | edited | markvs | CC BY-SA 4.0 |
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| Jan 14, 2021 at 7:48 | history | edited | markvs | CC BY-SA 4.0 |
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| Jan 14, 2021 at 7:38 | history | answered | markvs | CC BY-SA 4.0 |