Computations of orbits for the Lubin–Tate ring

We take a direct approach to computing the orbits for the action of the automorphism group G 2 of the Honda formal group law of height 2 on the associated Lubin–Tate rings R 2 . We prove that ( R 2 / p ) G 2 ≅ F p . The result is new for p = 2 and p = 3 . For primes p ≥ 5 , the result is a consequen...

Full description

Saved in:
Bibliographic Details
Published in:Journal of homotopy and related structures 2019-09, Vol.14 (3), p.691-718
Main Authors: Beaudry, Agnès, Downey, Naiche, McCranie, Connor, Meszar, Luke, Riddle, Andy, Rock, Peter
Format: Article
Language:English
Subjects:
Algebra
Algebraic Topology
Automorphisms
Functional Analysis
Mathematics
Mathematics and Statistics
Number Theory
Orbits
Rings (mathematics)
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We take a direct approach to computing the orbits for the action of the automorphism group G 2 of the Honda formal group law of height 2 on the associated Lubin–Tate rings R 2 . We prove that ( R 2 / p ) G 2 ≅ F p . The result is new for p = 2 and p = 3 . For primes p ≥ 5 , the result is a consequence of computations of Shimomura and Yabe and has been reproduced by Kohlhaase using different methods.
ISSN:2193-8407
1512-2891
DOI:10.1007/s40062-018-00228-7