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Nilpotency degree of cohomology rings in characteristic
Author(s):
Pham
Anh
Minh
Journal:
Proc. Amer. Math. Soc.
131
(2003),
363-368.
MSC (2000):
Primary 20J06;
Secondary 20D15, 55R40
Posted:
June 3, 2002
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Abstract:
Let be an odd prime number. The purpose of this paper is to provide a -group whose mod- cohomology ring has a nilpotent element satisfying .
References:
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- 1.
- G.S. Avrunin, J.F. Carlson, Nilpotency degree of cohomology rings in characteristic two, Proc. Amer. Math. Soc. 118 (1993), 339-443. MR 93g:20098
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-groups, Acta Math. 100 (1958), 45-92. MR 21:1349 - 3.
- L. Evens, Terminal
-groups, Illinois J. Math. 12 (1968), 682-699. MR 39:2875 - 4.
- K. Inoue, A. Kono, Nilpotency of a kernel of the Quillen map, J. Math. Kyoto Univ. 33 (1993), 1047-1055. MR 95a:20053
- 5.
- P. A. Minh, On the mod p cohomology groups of extra-special p-groups, Japan. J. Math. 18 (1992), 139-154.
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cohomology classes of -groups: an upper bound for the nilpotency degree, Bull. London Math. Soc. 32 (2000), 285-291. MR 2001c:20106 - 7.
- -, Evens norm and restriction maps in mod-p cohomology of p-groups, Math. Proc. Camb. Phil. Soc. 129 (2000), 253-262. MR 2001f:20119
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- -, Nilpotency degree of cohomology rings in characteristic 3, Proc. Amer. Math. Soc. 130 (2002), 307-310.
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- D. Quillen, The Adams conjecture, Topology 10 (1971), 67-80. MR 43:5525
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Additional Information:
Pham
Anh
Minh
Affiliation:
Department of Mathematics, College of Sciences, University of Hue, Dai hoc Khoa hoc, Hue, Vietnam
Email:
paminh@dng.vnn.vn
DOI:
10.1090/S0002-9939-02-06550-4
PII:
S 0002-9939(02)06550-4
Received by editor(s):
August 15, 2001
Received by editor(s) in revised form:
September 18, 2001
Posted:
June 3, 2002
Dedicated:
Dedicated to Professor Huynh Mùi on his sixtieth birthday
Communicated by:
Stephen D. Smith
Copyright of article:
Copyright
2002,
American Mathematical Society
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