THE HOMOTOPY GROUPS OF THE L2-LOCALIZATION OF THE MODULO p MOORE SPECTRUM SMASHING WITH THE FIRST RAVENEL SPECTRUM

被引：0

作者：

Ichigi, Ippei ^{[1
]}

Shimomura, Katsumi ^{[1
]}

机构：

[1] Kochi Univ, Fac Sci, Dept Math, Kochi 7808520, Japan

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2010年 / 3卷 / 01期

关键词：

Homotopy groups; Bousfield-Ravenel localization; Moore spectrum; Ravenel spectrum; Adams-Novikov spectral sequence;

D O I：

10.1142/S1793557110000076

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let BP be the Brown-Peterson spectrum at an odd prime p, and L2 denote the Bousfield localization functor with respect to v(2)(-1)BP. The Ravenel spectrum T(1) is characterized by BP.(T(1)) = BP. [4] on the primitive generator t(1). In this paper, we determine the homotopy groups pi(*)(L2M Lambda T(1)) for the mod p Moore spectrum M.

引用

页码：107 / 118

页数：12

共 36 条

[1] The homotopy groups of the L2-localized mod 3 Moore spectrum
Shimomura, K
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2000, 52 (01) : 65 - 90
[2] Towards the homotopy of the K(2)-local Moore spectrum at p=2
Beaudry, Agnes
ADVANCES IN MATHEMATICS, 2017, 306 : 722 - 788
[3] Two new families in the stable homotopy groups of sphere and Moore spectrum
Jinkun Lin
CHINESE ANNALS OF MATHEMATICS SERIES B, 2006, 27 (03) : 311 - 328
[4] Two New Families in the Stable Homotopy Groups of Sphere and Moore Spectrum
Jinkun LIN College of Mathematical Science and LPMC
ChineseAnnalsofMathematics, 2006, (03) : 311 - 328
[5] Two New Families in the Stable Homotopy Groups of Sphere and Moore Spectrum*
Jinkun Lin
Chinese Annals of Mathematics, Series B, 2006, 27 : 311 - 328
[6] The homotopy groups of the L(2)-localized Mahowald spectrum X[1]
Shimomura, K
FORUM MATHEMATICUM, 1995, 7 (06) : 685 - 707
[7] The homotopy of the K(2)-local Moore spectrum at the prime 3 revisited
Henn, Hans-Werner
Karamanov, Nasko
Mahowald, Mark
MATHEMATISCHE ZEITSCHRIFT, 2013, 275 (3-4) : 953 - 1004
[8] The homotopy groups of the L-2-localized Toda-Smith spectrum V(1) at the prime 3
Shimomura, K
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 349 (05) : 1821 - 1850
[9] Recognition by spectrum of simple groups C p (2)
Zinov'eva, M. R.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2012, 279 : S163 - S174
[10] Critical exponents of discrete groups and L2-spectrum
Leuzinger, E
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (03) : 919 - 927

← 1 2 3 4 →