The relationship between isometry group and Cyclotomic extensions of Galois group.

[Hongyi Zhao <hongyi.zhao@gmail.com>]

Hi here,

It seems that there are subtle relationship between isometry group [1]
and Cyclotomic extensions of Galois group [2]. But I can't give a
clean description of this relationship. Any tips will be appreciated.

[1] https://en.wikipedia.org/wiki/Isometry_group
[2] https://en.wikipedia.org/wiki/Galois_group#Cyclotomic_extensions

Regards,
Zhao
-- 
Assoc. Prof. Hongsheng Zhao <hongyi.zhao@gmail.com>
Theory and Simulation of Materials
Hebei Vocational University of Technology and Engineering
No. 473, Quannan West Street, Xindu District, Xingtai, Hebei province