Timeline for Bound on the index of an abelian subgroup in discrete subgroup of the euclidean group?
Current License: CC BY-SA 3.0
7 events
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Jul 21, 2014 at 12:54 | history | edited | Dietrich Burde | CC BY-SA 3.0 |
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Jul 21, 2014 at 12:45 | history | edited | Dietrich Burde | CC BY-SA 3.0 |
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Jul 21, 2014 at 12:43 | comment | added | Dietrich Burde | @YCor: yes, thank you. I edited the answer, refering only to the crystallographic case. | |
Jul 21, 2014 at 12:38 | history | edited | Dietrich Burde | CC BY-SA 3.0 |
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Jul 21, 2014 at 12:35 | comment | added | YCor | a discrete group $\Gamma$ of isometries of $\mathbf{R}^n$ indees acts properly cocompactly by isometries on $\mathbf{R}^k$ for some $k\le n$ (namely any minimal nonempty invariant affine subspace of $\mathbf{R}^n$ for the given action, but you have to take into account that the new action has a finite kernel, possibly nontrivial, and precisely equal to the maximal finite normal subgroup in $\Gamma$. | |
Jul 21, 2014 at 12:29 | history | edited | Dietrich Burde | CC BY-SA 3.0 |
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Jul 21, 2014 at 11:58 | history | answered | Dietrich Burde | CC BY-SA 3.0 |