Conjugacy classes and characters in some quotients of the Nottingham group
type: Item
instance of: scholarly article
title: Conjugacy classes and characters in some quotients of the Nottingham group
zbMATH Open document ID: 0956.20009
author: Josu Sangroniz
published in: Journal of Algebra
publication date: 2000-05-03T00:00:00Z
review text: The author calculates the number of conjugacy classes, the degrees of irreducible characters together with their multiplicities in the natural quotients of the Nottingham group over an arbitrary finite field of \(q\) elements for the quotients of order \(q^t\) with \(p+2\leq t\leq 2p+1\), where \(p\) is the characteristic of the field. The case \(t\leq p+1\) was investigated earlier by \textit{I.~O.~York} [Proc. Edinb. Math. Soc., II. Ser. 33, No. 3, 483-490 (1990; Zbl 0723.20010)].
Mathematics Subject Classification ID: 20D15
Mathematics Subject Classification ID: 20C15
Mathematics Subject Classification ID: 20G40
Mathematics Subject Classification ID: 20D60
Mathematics Subject Classification ID: 20E18
Mathematics Subject Classification ID: 20E45
zbMATH DE Number: 1251293
zbMATH Keywords: numbers of conjugacy classes
zbMATH Keywords: Nottingham group
zbMATH Keywords: natural quotient groups of the Nottingham group
zbMATH Keywords: characters of quotients of the Nottingham group
zbMATH Keywords: degrees of irreducible characters
reviewed by: N. Yu. Makarenko
MaRDI profile type: Publication
full work available at URL: jabr.1998.7588
OpenAlex ID: W2019105825
cites work: Q4312077
cites work: Characters of groups associated with finite algebras
cites work: Q3818488
cites work: The number of conjugacy classes in some quotients of the Nottingham group
cites work: Orbit lengths and character degrees in \(p\)-Sylow subgroups of some classical Lie groups
cites work: On a conjecture concerning character degrees of some \(p\)-groups
cites work: The exponent of certain finite p-groups
DOI: 10.1006/JABR.1998.7588
description: scientific article; zbMATH DE number 1251293