The Brown-Peterson spectrum is not E 2(p 2+2) at odd primes

被引：0

作者：

Senger, Andrew ^{[1
]}

机构：

[1] Harvard Univ, Dept Math, Cambridge, MA 02138 USA

来源：

ADVANCES IN MATHEMATICS | 2024年 / 458卷

关键词：

Homotopy theory; Ring spectra; Power operation; Secondary operation; POWER OPERATIONS; STEENROD; HOMOLOGY;

D O I：

10.1016/j.aim.2024.109996

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the odd-primary Brown-Peterson spectrum BP does not admit the structure of an E 2(p 2 +2) ring spectrum and that there can be no map MU-* BP of E 2p+3 ring spectra. We also prove the same results for truncated Brown-Peterson spectra BP(n) of height n >= 4. This extends results of Lawson at the prime 2. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：33

共 50 条

[21] ON MOD ODD PRIME BROWN-PETERSON CO-HOMOLOGY GROUPS OF EXCEPTIONAL LIE-GROUPS
YAGITA, N
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1982, 34 (02) : 293 - 305
[22] UNIVERSAL ISOMORPHISM FOR P-TYPICAL FORMAL GROUPS AND OPERATIONS IN BROWN-PETERSON COHOMOLOGY
HAZEWINKEL, M
PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1976, 79 (03): : 195 - 199
[23] On Least Prime Primitive Roots mod 2p for Odd Primes p
Paszkiewicz, Andrzej
INTERNATIONAL JOURNAL OF ELECTRONICS AND TELECOMMUNICATIONS, 2009, 55 (01) : 57 - 69
[24] An Embedding for the E2-term of the Adams Spectral Sequence at Odd Primes
MaurizioBRUNETTI
AdrianaCIAMPELLA
LucianoA.LOMONACO
ActaMathematicaSinica(EnglishSeries), 2006, 22 (06) : 1657 - 1666
[25] An Embedding for the E2-term of the Adams Spectral Sequence at Odd Primes
Maurizio Brunetti
Adriana Ciampella
Luciano A. Lomonaco
Acta Mathematica Sinica, 2006, 22 : 1657 - 1666
[26] An embedding for the E2-term of the Adams spectral sequence at odd primes
Brunetti, Maurizio
Ciampella, Adriana
Lomonaco, Luciano A.
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2006, 22 (06) : 1657 - 1666
[27] The BP⟨2⟩-cooperations algebra at odd primes
Culver, D.
JOURNAL OF PURE AND APPLIED ALGEBRA, 2020, 224 (05)
[28] The Brown-Peterson cohomology of the classifying spaces of the projective unitary groups PU(p) and exceptional Lie groups
Kameko, Masaki
Yagita, Nobuaki
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 360 (05) : 2265 - 2284
[29] Formal [(2+2)+2] and [(2+2)+(2+2)] nonconjugated dienediyne cascade cycloadditions
Wu, YT
Linden, A
Siegel, JS
ORGANIC LETTERS, 2005, 7 (20) : 4353 - 4355
[30] Complete latin squares of order pn exist for odd primes p and n > 2
Wang, CD
DISCRETE MATHEMATICS, 2002, 252 (1-3) : 189 - 201

← 1 2 3 4 5 →