Free actions of finite groups on products of symmetric powers of even spheres
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- by Satya Deo and Jitendra Kumar Maitra PDF
- Proc. Amer. Math. Soc. 128 (2000), 299-306 Request permission
Abstract:
This paper answers a question on the existence of free actions on products of symmetric powers of even-spheres. The main objective is to show that a finite group $G$ acts freely on a finite product of symmetric powers of even-dimensional spheres iff it can act freely on a suitable product of even-dimensional spheres themselves.References
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Additional Information
- Satya Deo
- Affiliation: Department of Mathematics and Computer Science, R.D. University, Jabalpur - 482 001, India
- Email: sdt@rdunijb.ren.nic.in
- Jitendra Kumar Maitra
- Affiliation: Department of Mathematics and Computer Science, R.D. University, Jabalpur - 482 001, India
- Email: maitra@rdunijb.ren.nic.in
- Received by editor(s): July 29, 1997
- Received by editor(s) in revised form: March 24, 1998
- Published electronically: June 21, 1999
- Additional Notes: While carrying out this work, the first author was supported by the UGC research grant no. F 8-5/94(SR-I) and the second author was supported by Dr. K.S. Krishnan Research Fellowship, awarded by the Department of Atomic Energy (No. 11/18/93-G), Govt. of India.
- Communicated by: Ralph Cohen
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 299-306
- MSC (1991): Primary 57S17; Secondary 57S05
- DOI: https://doi.org/10.1090/S0002-9939-99-05193-X
- MathSciNet review: 1646310