Geodesic
Note on the homotopy groups of a bouquet $S^1\vee Y$, $Y$ 1-connected
Homology, homotopy, and applications, Tome 16 (2014) no. 1, pp. 83-87.

Voir la notice de l'article provenant de la source International Press of Boston

A study is made of the action of the fundamental group of a bouquet of a circle and a 1-connected space on the higher homotopy groups. If the 1-connected space is a suspension space, it is shown, with the aid of a theorem of Hartley on wreath products of groups and the Hilton-Milnor theorem, that the action is residually nilpotent. An unsuccessful approach in the case of a general 1-connected space is discussed, as it has some interesting features.
DOI : 10.4310/HHA.2014.v16.n1.a5
Classification : 20E22, 20E26, 55P40, 55Q20
Keywords: action of fundamental group on higher homotopy groups, residually nilpotent group action, wreath product of groups, Hartley’s theorem, Hilton-Milnor theorem 
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     title = {Note on the homotopy groups of a bouquet $S^1\vee Y$, $Y$ 1-connected},
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     pages = {83--87},
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     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2014.v16.n1.a5/}
}
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Joseph Roitberg. Note on the homotopy groups of a bouquet $S^1\vee Y$, $Y$ 1-connected. Homology, homotopy, and applications, Tome 16 (2014) no. 1, pp. 83-87. doi : 10.4310/HHA.2014.v16.n1.a5. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2014.v16.n1.a5/

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