奇数素数下的布朗-彼得森谱不是 E2(p2+2)

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-10-25 DOI:10.1016/j.aim.2024.109996

Andrew Senger

引用次数: 0

摘要

我们证明奇初布朗-彼得森谱 BP 不具有 E2(p2+2) 环谱的结构，并且不可能存在 E2p+3 环谱的映射 MU→BP。我们还证明了高度为 n≥4 的截断布朗-彼得森谱 BP〈n〉的相同结果。这扩展了劳森在素数 2 时的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Brown-Peterson spectrum is not E2(p2+2) at odd primes

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 \to BP

E_{2 p + 3}

ring spectra. We also prove the same results for truncated Brown-Peterson spectra

BP 〈 n 〉

of height

n \geq 4

. This extends results of Lawson at the prime 2.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.