Multiplicativity and nonrealizable equivariant chain complexes

Rueping H, Stephan M (2022)
Journal of Pure and Applied Algebra 226(8): 107023.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Rueping, Henrik; Stephan, MarcUniBi
Abstract / Bemerkung
Let G be a finite p-group and F a field of characteristic p. We filter the cochain complex of a free G-space with coefficients in F by powers of the augmentation ideal of FG. We show that the cup product induces a multiplicative structure on the arising spectral sequence and compute the E-1-page as a bigraded algebra. As an application, we prove that recent counterexamples of Iyengar and Walker to an algebraic version of Carlsson's conjecture can not be realized topologically.& nbsp;(c) 2022 Elsevier B.V. All rights reserved.
Stichworte
Free p-group action; Toral rank; <p>Realization of equivariant chain &; nbsp; complexes</p>; <p>Filtration by powers of & nbsp; augmentation; ideal</p>
Erscheinungsjahr
2022
Zeitschriftentitel
Journal of Pure and Applied Algebra
Band
226
Ausgabe
8
Art.-Nr.
107023
ISSN
0022-4049
eISSN
1873-1376
Page URI
https://pub.uni-bielefeld.de/record/2962693

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Rueping H, Stephan M. Multiplicativity and nonrealizable equivariant chain complexes. Journal of Pure and Applied Algebra . 2022;226(8): 107023.
Rueping, H., & Stephan, M. (2022). Multiplicativity and nonrealizable equivariant chain complexes. Journal of Pure and Applied Algebra , 226(8), 107023. https://doi.org/10.1016/j.jpaa.2022.107023
Rueping, H., and Stephan, M. (2022). Multiplicativity and nonrealizable equivariant chain complexes. Journal of Pure and Applied Algebra 226:107023.
Rueping, H., & Stephan, M., 2022. Multiplicativity and nonrealizable equivariant chain complexes. Journal of Pure and Applied Algebra , 226(8): 107023.
H. Rueping and M. Stephan, “Multiplicativity and nonrealizable equivariant chain complexes”, Journal of Pure and Applied Algebra , vol. 226, 2022, : 107023.
Rueping, H., Stephan, M.: Multiplicativity and nonrealizable equivariant chain complexes. Journal of Pure and Applied Algebra . 226, : 107023 (2022).
Rueping, Henrik, and Stephan, Marc. “Multiplicativity and nonrealizable equivariant chain complexes”. Journal of Pure and Applied Algebra 226.8 (2022): 107023.

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