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Free actions of finite groups on products of symmetric powers of even spheres
Author(s):
Satya
Deo;
Jitendra
Kumar
Maitra
Journal:
Proc. Amer. Math. Soc.
128
(2000),
299-306.
MSC (1991):
Primary 57S17;
Secondary 57S05
Posted:
June 21, 1999
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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  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.
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- 2.
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- 3.
- L.W.Cusick, ``Free actions on products of even dimensional spheres'', Proc. Amer. Math. Soc. 99 (1987), 573-574. MR 88h:57035
- 4.
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- 5.
- Satya Deo and J.K. Maitra, ``Automorphism groups of truncated polynomial algebras'', National Acad. Sciences Letters 20(1997)75-80.
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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
DOI:
10.1090/S0002-9939-99-05193-X
PII:
S 0002-9939(99)05193-X
Keywords:
Lefschetz number,
free action,
symmetric powers,
Wreath products
Received by editor(s):
July 29, 1997
Received by editor(s) in revised form:
March 24, 1998
Posted:
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 of article:
Copyright
1999,
American Mathematical Society
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