Algebraic & Geometric Topology Volume 24, issue 7 (2024)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP journals

On products of beta and gamma elements in the homotopy of the first Smith–Toda spectrum

Katsumi Shimomura and Mao-no-suke Shimomura

Algebraic & Geometric Topology 24 (2024) 3875–3896

DOI: 10.2140/agt.2024.24.3875

Bibliography

1	H R Miller, D C Ravenel, Morava stabilizer algebras and the localization of Novikov’s E₂–term, Duke Math. J. 44 (1977) 433 MR458410
2	H R Miller, D C Ravenel, W S Wilson, Periodic phenomena in the Adams–Novikov spectral sequence, Ann. of Math. 106 (1977) 469 MR458423
3	H Nakai, The chromatic E₁–term H⁰M₁² for p > 3, New York J. Math. 6 (2000) 21 MR1745530
4	S Oka, Multiplicative structure of finite ring spectra and stable homotopy of spheres, from: "Algebraic topology", Lecture Notes in Math. 1051, Springer (1984) 418 MR764594
5	S Oka, K Shimomura, On products of the β–elements in the stable homotopy of spheres, Hiroshima Math. J. 12 (1982) 611 MR676562
6	D C Ravenel, The structure of BP_∗BP modulo an invariant prime ideal, Topology 15 (1976) 149 MR420598
7	D C Ravenel, The cohomology of the Morava stabilizer algebras, Math. Z. 152 (1977) 287 MR431168
8	D C Ravenel, Complex cobordism and stable homotopy groups of spheres, Amer. Math. Soc. (2004)
9	K Shimomura, Note on the right unit map and some elements of the Brown–Peterson homology, J. Fac. Educ. Tottori Univ. (Nat. Sci.) 38 (1989) 77
10	K Shimomura, The chromatic E₁–term H¹M₂¹ and its application to the homology of the Toda–Smith spectrum V (1), J. Fac. Educ. Tottori Univ. (Nat. Sci.) 39 (1990) 63
11	K Shimomura, H Tamura, Nontriviality of some compositions of β–elements in the stable homotopy of the Moore spaces, Hiroshima Math. J. 16 (1986) 121 MR837317
12	H Toda, On spectra realizing exterior parts of the Steenrod algebra, Topology 10 (1971) 53 MR271933