Geodesic
On exponents of homogeneous spaces
Trudy Instituta matematiki, Tome 26 (2018) no. 1, pp. 9-12.

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We investigate the existence of a $G$-homeomorphism between an exponent of a homogeneous space $G/H$ and the $G$-Hilbert cube with unique fixed point and its connection with the lower normalizer of a closed subgroup. It is proved that the lower normalizer of a closed subgroup coincides with intersection of $\dim G+2$ many conjugate subgroups. 
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S. M. Ageev. On exponents of homogeneous spaces. Trudy Instituta matematiki, Tome 26 (2018) no. 1, pp. 9-12. http://geodesic.mathdoc.fr/item/TIMB_2018_26_1_a2/

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