HIGHER GENERATION BY ABELIAN SUBGROUPS IN LIE GROUPS
نویسندگان
چکیده
To a compact Lie group $G$ one can associate space $E(2,G)$ akin to the poset of cosets abelian subgroups discrete group. The was introduced by Adem, F. Cohen and Torres-Giese, subsequently studied Adem G\'omez, other authors. In this short note, we prove that is if only $\pi_i(E(2,G))=0$ for $i=1,2,4$. This analogue fact simply--connected abelian.
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ژورنال
عنوان ژورنال: Transformation Groups
سال: 2021
ISSN: ['1531-586X', '1083-4362']
DOI: https://doi.org/10.1007/s00031-021-09659-8