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Some products involving the fourth Greek letter family element δ͂s in the Adams spectral sequence.

Authors :
Xiugui Liu
He Wang
Source :
Turkish Journal of Mathematics; 2011, Vol. 35 Issue 2, p311-321, 11p
Publication Year :
2011

Abstract

Let p be an odd prime and A be the mod p Steenrod algebra. For computing the stable homotopy groups of spheres with the classical Adams spectral sequence, we must compute the E<subscript>2</subscript>-term of the Adams spectral sequence, Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed.. In this paper we prove that in the cohomology of A, the product Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. is nontrivial for n ≤ 5, and trivial for n = 3, 4,where δ͂<subscript>s+4</subscript> is actually Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. a described by Wang and Zheng, p ≤ 11, 0 ≥ s ≥ p - 4 and t(s, n) = 2 (p-1)[(s+2)+(s+4)p+(s+3)p²+(s+4)p+p]. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
13000098
Volume :
35
Issue :
2
Database :
Complementary Index
Journal :
Turkish Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
66251818
Full Text :
https://doi.org/10.3906/mat-0902-31