On exponents of homogeneous spaces

S. M. Ageev

Belarusian State University, Minsk

Abstract: 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.

UDC: 517.518.14

Received: 16.06.2018