On Gottlieb groups G_{n+k}(M(Z^m + Z_2,n)) for k=1,2

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.

Bibliographic Details
Main Authors: Thiago de Melo, Marek Golasiński, Rodrigo Bononi
Format: Article
Language:English
Published: Odesa National University of Technology 2024-02-01
Series:Pracì Mìžnarodnogo Geometričnogo Centru
Subjects:
Online Access:https://journals.ontu.edu.ua/index.php/geometry/article/view/2562
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author Thiago de Melo
Marek Golasiński
Rodrigo Bononi
author_facet Thiago de Melo
Marek Golasiński
Rodrigo Bononi
author_sort Thiago de Melo
collection DOAJ
description 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.
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spelling doaj.art-6e2db9c20647438f978ea43af487d87c2024-02-19T08:47:39ZengOdesa National University of TechnologyPracì Mìžnarodnogo Geometričnogo Centru2072-98122409-89062024-02-01171183510.15673/pigc.v17i1.25622562On Gottlieb groups G_{n+k}(M(Z^m + Z_2,n)) for k=1,2Thiago de Melo0Marek Golasiński1Rodrigo Bononi2São Paulo State University (Unesp)Faculty of Mathematics and Computer Science, University of Warmia and MazurySão Paulo State University (Unesp)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.https://journals.ontu.edu.ua/index.php/geometry/article/view/2562finitely generated abelian groupgottlieb groupmoore spacesmash (wedge) productsuspensionwhitehead producteuler-poincaré number
spellingShingle Thiago de Melo
Marek Golasiński
Rodrigo Bononi
On Gottlieb groups G_{n+k}(M(Z^m + Z_2,n)) for k=1,2
Pracì Mìžnarodnogo Geometričnogo Centru
finitely generated abelian group
gottlieb group
moore space
smash (wedge) product
suspension
whitehead product
euler-poincaré number
title On Gottlieb groups G_{n+k}(M(Z^m + Z_2,n)) for k=1,2
title_full On Gottlieb groups G_{n+k}(M(Z^m + Z_2,n)) for k=1,2
title_fullStr On Gottlieb groups G_{n+k}(M(Z^m + Z_2,n)) for k=1,2
title_full_unstemmed On Gottlieb groups G_{n+k}(M(Z^m + Z_2,n)) for k=1,2
title_short On Gottlieb groups G_{n+k}(M(Z^m + Z_2,n)) for k=1,2
title_sort on gottlieb groups g n k m z m z 2 n for k 1 2
topic finitely generated abelian group
gottlieb group
moore space
smash (wedge) product
suspension
whitehead product
euler-poincaré number
url https://journals.ontu.edu.ua/index.php/geometry/article/view/2562
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