Let ξ = (E, p, B, F) be a Hurewicz fibration. In this paper we study the space LG(ξ) consisting of fibre homotopy self equivalences of ξ inducing by restriction to the fibre a self homotopy equivalence of F belonging to the group G. We give in particular conditions implying that π1(LG(ξ)) is finitely generated or that L1(ξ) has the same rational homotopy type as aut1(F).
@article{urn:eudml:doc:41218,
title = {Nilpotent subgroups of the group of fibre homotopy equivalences.},
journal = {Publicacions Matem\`atiques},
volume = {39},
year = {1995},
pages = {95-106},
mrnumber = {MR1336359},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41218}
}
Félix, Yves; Thomas, Jean-Claude. Nilpotent subgroups of the group of fibre homotopy equivalences.. Publicacions Matemàtiques, Tome 39 (1995) pp. 95-106. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41218/