On the Segal conjecture for

Author:
Donald M. Davis

Journal:
Proc. Amer. Math. Soc. **83** (1981), 619-622

MSC:
Primary 55Q55; Secondary 55T15

DOI:
https://doi.org/10.1090/S0002-9939-1981-0627705-X

MathSciNet review:
627705

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Abstract | References | Similar Articles | Additional Information

Abstract: The Segal conjecture regarding the Burnside ring and stable cohomotopy of a finite group is reduced for the case to a statement about Ext groups. This statement has since been proved by H. Miller, J. F. Adams and J. H. C. Gonawardena.

**[1]**D. M. Davis,*On the Segal conjecture for*, Lecture at Oberwolfach Homotopy Theory Conf., Sept., 1980.**[2]**J. H. C. Gunawardena,*Segal's conjecture for cyclic groups of odd prime order*, J. T. Knight Prize Essay, Cambridge, 1980.**[3]**E. Laitinen,*On the Burnside ring and stable cohomotopy of a finite group*, Math. Scand.**44**(1979), 37-72. MR**544579 (80k:55030)****[4]**W. H. Lin,*On conjectures of Mahowald, Segal, and Sullivan*, Math. Proc. Cambridge Philos. Soc.**87**(1980), 449-459. MR**556925 (81e:55020)****[5]**W. H. Lin, D. M. Davis, M. Mahowald and J. F. Adams,*Calculation of Lin's Ext groups*, Math. Proc. Cambridge Philos. Soc.**87**(1980), 459-469. MR**569195 (81e:55025)****[6]**H. Miller,*An algebraic analogue of a conjecture of G. W. Whitehead*(to appear). MR**633294 (83c:55026)****[7]**J. F. Adams, J. H. C. Gunawardena and H. Miller,*The Segal conjecture for*(to appear).**[8]**S. B. Priddy,*On**and the infinite symmetric group*, Proc. Sympos. Pure Math., vol. 22, Amer. Math. Soc., Providence, R.I., 1971, pp. 217-220. MR**0358767 (50:11226)****[9]**D. C. Ravenel,*The Segal conjecture for cyclic groups*, Bull. London Math. Soc.**13**(1981), 42-44. MR**599639 (82e:55017)**

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1981-0627705-X

Keywords:
Segal conjecture,
stable cohomotopy groups,
Burnside ring

Article copyright:
© Copyright 1981
American Mathematical Society