Title:
|
Local properties of stably complex $G$-actions (English) |
Author:
|
Pawałowski, Krzysztof |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
46 |
Issue:
|
1 |
Year:
|
1996 |
Pages:
|
83-100 |
. |
Category:
|
math |
. |
MSC:
|
57S17 |
MSC:
|
57S25 |
idZBL:
|
Zbl 0861.57046 |
idMR:
|
MR1414412 |
. |
Date available:
|
2009-09-25T11:13:02Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/132957 |
. |
Reference:
|
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Reference:
|
[2] BREDON G. E.: Introduction to Compact Transformation Groups.Pure Appl. Math. 46, Academic Press, Boston, MA, 1972. Zbl 0246.57017, MR 0413144 |
Reference:
|
[3] CAPPELL S. E.-SHANESON J. L.: Representations at fixed point.In: Group Actionson Manifolds. Contemp. Math. 36, Amer. Math. Soc, Providence, RI, 1985, pp. 151-158. MR 0780963 |
Reference:
|
[4] DOVERMANN K. H.-PETRIE T.-SCHULTZ R.: Transformatгon groups and fixed point dat.In: Group Actions on Manifolds. Contemp. Math. 36, Amer. Math. Soc, Providence, RI, 1985, pp. 159-189. MR 0780964 |
Reference:
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[5] HSIANG W.-C.-HSIANG W.-Y.: Some proЫems in differentiable transformation group.In: Proceedings of the Conference on Transformation Groups (New Orleans, 1967), Spгinger-Verlag, Berlin-Heidelberg-New York, 1968, pp. 223-234. MR 0253368 |
Reference:
|
[6] KAWAKUBO K.: The Theory of Transformation Groups.Oxford Universitу Press, Oxford-New York-Тokуo, 1991. Zbl 0744.57001, MR 1150492 |
Reference:
|
[7] MASUDA M.-PETRIE T.: Lectures on transformation groups and Smith equivalence.In: Group Actions on Manifolds. Contemp. Math. 36, Amer. Math. Soc, Providence. RI, 1985, pp. 191-242. Zbl 0571.57029, MR 0780965 |
Reference:
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[8] OLIVER R.: Fixed point sets of group actions on finite acyclic complexes.Comment. Math. Helv. 50 (1975), 155-177. Zbl 0304.57020, MR 0375361 |
Reference:
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[9] OLIVER R. : G-actions on disks and permutation representations.II, Math. Z. 157 (1977), 237-263. Zbl 0428.57014, MR 0646085 |
Reference:
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[10] PAWALOWSKI K.: Group actions with inequivalent representations at fixed point.Math. Z. 187 (1984), 29-47. MR 0753418 |
Reference:
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[11] PAWALOWSKI K.: Fixed point sets of smooth group actions on disks and Euclidean spaces.A survey. In: Geometric and Algebraic Topology. Banach Center Publ. 18, PWN - Polish Scientific Publishers, Warsaw, 1986, pp. 165-180. Zbl 0649.57036, MR 0925864 |
Reference:
|
[12] PAWALOWSKI K.: Fixed point sets of smooth group actions on disks and Euclidean space.Topology 28 (1989), 273-289. MR 1014462 |
Reference:
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[13] PAWALOWSKI K.: Normal representations over the connected components of fixed point set.In: Transformation Groups. Proceedings (Osaka, 1987). Lecture Notes in Math. 1375. Springer, New York-Berlin, 1989, pp. 267-290. MR 1006700 |
Reference:
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[14] PAWALOWSKI K.: Nonlinear smooth group actions on disks, spheres, and Euclidean space.Max-Planck-Institut fur Mathematik, Bonn, MPI/89-30. |
Reference:
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[15] PAWALOWSKI K.: Negative answers to Hsiangs' problem for smooth S1-action.Forschungsschwerpunkt Geometric Universitat Heidelberg, Heft Nr. 62. |
Reference:
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[16] PAWALOWSKI K.: Normal representations for cyclic group actions on disks, spheres, and Euclidean space.Bull. Polish Acad. Sci. Math. 39 (1991), 75-82. MR 1194710 |
Reference:
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[17] SERRE, J .-P.: Linear Representations of Finite Groups.Grad. Texts in Math. 42, Springer, New York-Berlin, 1977. Zbl 0355.20006, MR 0450380 |
Reference:
|
[18] SMITH P. A.: New results and old problems in finite transformation group.Bull. Amer. Math. Soc 66 (1960), 401-415. MR 0125581 |
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