- Abstract:
- We give a bound on the reconstructibility of an action G → X in terms of the reconstructibility of a the action N → X, where N is a normal subgroup of G, and the reconstructibility of the quotient G/N. We also show that if the action G → X is locally finite, in the sense that every point is either in an orbit by itself or has finite stabilizer, then the reconstructibility of G → X is at most the reconstructibility of G. Finally, we give some applications to geometric reconstruction problems. © Springer-Verlag Berlin Heidelberg 2006.
- Publication status:
- Published
- Publisher copy:
- 10.1007/s00373-006-0675-y
-
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- Journal:
- GRAPHS AND COMBINATORICS
- Volume:
- 22
- Issue:
- 3
- Pages:
- 399-419
- Publication date:
- 2006-11-05
- DOI:
- EISSN:
-
1435-5914
- ISSN:
-
0911-0119
- URN:
-
uuid:8555d213-8675-47bb-b0e1-b8de5977c903
- Source identifiers:
-
12529
- Local pid:
- pubs:12529
- Language:
- English
- Keywords:
- Copyright date:
- 2006
Journal article
Reconstructing under group actions
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