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.
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页数：33
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