Comparing direct limit and inverse limit of even K -groups in multiple ℤ p -extensions
Year: 2024
Type: article
Abstract: Iwasawa first established a duality relating the direct limit and the inverse limit of class groups in a ℤ p -extension, and this result has recently been extended to multiple ℤ p -extensions by many authors. In this paper, we establish an analogous duality for the direct limit and the inverse limit of higher even K -groups in a ℤ p d -extension. We then give some examples where the direct limit may or may not vanish.
DOI: 10.5802/jtnb.1288
Author: Meng Fai Lim
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4404302403
