Algebraic & Geometric Topology Volume 19, issue 1 (2019)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP Journals

A simplicial James–Hopf map and decompositions of the unstable Adams spectral sequence for suspensions

Fedor Pavutnitskiy and Jie Wu

Algebraic & Geometric Topology 19 (2019) 77–108

DOI: 10.2140/agt.2019.19.77

Bibliography

1	A K Bousfield, E B Curtis, D M Kan, D G Quillen, D L Rector, J W Schlesinger, The mod-p lower central series and the Adams spectral sequence, Topology 5 (1966) 331 MR0199862
2	F R Cohen, On combinatorial group theory in homotopy, from: "Homotopy theory and its applications" (editors A Adem, R J Milgram, D C Ravenel), Contemp. Math. 188, Amer. Math. Soc. (1995) 57 MR1349129
3	F R Cohen, L R Taylor, Homology of function spaces, Math. Z. 198 (1988) 299 MR946606
4	E B Curtis, Some relations between homotopy and homology, Ann. of Math. 82 (1965) 386 MR0184231
5	E B Curtis, Simplicial homotopy theory, Advances in Math. 6 (1971) 107 MR0279808
6	R H Fox, Free differential calculus, I : Derivation in the free group ring, Ann. of Math. 57 (1953) 547 MR0053938
7	P Hall, A contribution to the theory of groups of prime-power order, Proc. London Math. Soc. 36 (1934) 29 MR1575964
8	J Y Li, F C Lei, J Wu, Module structure on Lie powers and natural coalgebra-split sub-Hopf algebras of tensor algebras, Proc. Edinb. Math. Soc. 54 (2011) 467 MR2794667
9	W Magnus, Über Beziehungen zwischen höheren Kommutatoren, J. Reine Angew. Math. 177 (1937) 105 MR1581549
10	W Magnus, A Karrass, D Solitar, Combinatorial group theory : presentations of groups in terms of generators and relations, Interscience (1966) MR0207802
11	J W Milnor, J C Moore, On the structure of Hopf algebras, Ann. of Math. 81 (1965) 211 MR0174052
12	J Neisendorfer, Algebraic methods in unstable homotopy theory, 12, Cambridge Univ. Press (2010) MR2604913
13	I B S Passi, Polynomial maps on groups, J. Algebra 9 (1968) 121 MR0231915
14	I B S Passi, Group rings and their augmentation ideals, 715, Springer (1979) MR537126
15	D L Rector, An unstable Adams spectral sequence, Topology 5 (1966) 343 MR0199863
16	P Selick, J Wu, On natural coalgebra decompositions of tensor algebras and loop suspensions, 701, Amer. Math. Soc. (2000) MR1706247