Maximal Antipodal Subgroups and Covering Homomorphisms with Odd Degree

Year 2024, Volume: 17 Issue: 1, 153 - 156, 23.04.2024

Makiko Tanaka , Hiroyuki Tasaki

https://doi.org/10.36890/iejg.1436313

Abstract

We show that all of maximal antipodal subgroups in compact Lie groups, which are not necessarily connected, do not change through covering homomorphisms with odd degree.

Keywords

Antipodal subgroup, compact Lie group, covering homorphism, 2-number

References

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