Geodesic
H-Semidirect Products
Canadian mathematical bulletin, Tome 30 (1987) no. 4, pp. 402-411

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DOI

The concept of H-semidirect product structure on a grouplike space is introduced. It is shown that the loop space ΩX of any based CW-complex X is the H-semidirect product of the identity path-component of ΩX with π1,X. The set of free homotopy classes of maps into a Hsemidirect product inherits the structure of a semidirect product. This leads to new results concerning the nilpotency of homotopy classes of maps into a group-like space.
DOI : 10.4153/CMB-1987-060-2
Mots-clés : 55D35, 55D45, 55E05, 55E35 
Peschke, Georg. H-Semidirect Products. Canadian mathematical bulletin, Tome 30 (1987) no. 4, pp. 402-411. doi: 10.4153/CMB-1987-060-2
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     title = {H-Semidirect {Products}},
     journal = {Canadian mathematical bulletin},
     pages = {402--411},
     year = {1987},
     volume = {30},
     number = {4},
     doi = {10.4153/CMB-1987-060-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-060-2/}
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