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Just infiniteness of the generalized Nottingham group
Author(s) -
Veronelli Davide
Publication year - 2020
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms.12365
Subject(s) - mathematics , sylow theorems , automorphism , group (periodic table) , pure mathematics , formal power series , finite field , field (mathematics) , combinatorics , algebra over a field , power series , finite group , mathematical analysis , chemistry , organic chemistry
The Nottingham group is the unique Sylow pro‐ p subgroup of the automorphism group of the formal power series algebra over a finite field. This group has been intensively studied in the last decades for its interesting properties, just infiniteness being one of the most remarkable. Shalev and Leedham‐Green introduced the generalized Nottingham groups and confirmed that they are just infinite, however the proof was lost. Here we prove that the generalized Nottingham groups over finite fields of odd characteristic are hereditarily just infinite.