Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324:2012
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On Gottlieb groups G_{n+k}(M(Z^m + Z_2,n)) for k=1,2

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Thiago de Melo
http://orcid.org/0000-0002-4031-2805
Marek Golasiński
https://orcid.org/0000-0001-6969-8986
Rodrigo Bononi
http://orcid.org/0000-0003-0452-0276

Abstract

We are motivated by [M. Arkowitz. K. Maruyama. J. Math. Soc. Japan, 66(3):735-743, 2014]: "It would be interesting to compute other Gottlieb groups of Moore spaces such as, for example, G{n+1}(M(A,n))" to compute the Gottlieb groups Gn+k(M(ℤm⊕ℤ2,n)) for k=1,2 and m≥1.

Keywords:
finitely generated Abelian group, Gottlieb group, Moore space, smash (wedge) product, suspension, Whitehead product, Euler-Poincaré number

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How to Cite
de Melo, T., Golasiński, M., & Bononi, R. (2024). On Gottlieb groups G_{n+k}(M(Z^m + Z_2,n)) for k=1,2. Proceedings of the International Geometry Center, 17(1), 18-35. https://doi.org/10.15673/pigc.v17i1.2562
Section
Papers
Author Biographies

Thiago de Melo, São Paulo State University (Unesp)

São Paulo State University (Unesp), Institute of Geosciences and Exact Sciences, Av.~24A, 1515, Bela Vista. CEP 13.506--900. Rio Claro--SP, Brazil

Marek Golasiński, Faculty of Mathematics and Computer Science, University of Warmia and Mazury

Sloneczna 54 Street, 10-710 Olsztyn, Poland

Rodrigo Bononi, São Paulo State University (Unesp)

Institute of Biosciences, Letters and Exact Sciences, R. Cristóvão Colombo, 2265, Jardim Nazareth. CEP 15054-000. São José do Rio Preto--SP, Brazil