On the determination of Sylow numbers
type: Item
instance of: scholarly article
title: On the determination of Sylow numbers
zbMATH Open document ID: 1485.16034
author: Wolfgang Kimmerle
author: Iris Köster
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2022-01-07T00:00:00Z
Mathematics Subject Classification ID: 16U60
Mathematics Subject Classification ID: 20C10
Mathematics Subject Classification ID: 16S34
zbMATH DE Number: 7453730
zbMATH Keywords: character tables
zbMATH Keywords: integral group rings
zbMATH Keywords: Sylow numbers
MaRDI profile type: Publication
full work available at URL: s13226-021-00183-9
OpenAlex ID: W3212138700
cites work: Ein Sylowsatz für endliche \(p\)-Untergruppen von \(GL(n,Z)\)
cites work: Q3708174
cites work: Thin finite simple groups
cites work: Global and local properties of finite groups with only finitely many central units in their integral group ring
cites work: On torsion subgroups in integral group rings of finite groups.
cites work: Algorithmic Aspects of Units in Group Rings
cites work: Torsion subgroups in the units of the integral group ring of \(\mathrm{PSL}(2,p^3)\).
cites work: On the First Zassenhaus Conjecture and Direct Products
cites work: Integral group rings with all central units trivial
cites work: Sylow theorems for infinite groups
cites work: Finite groups with dihedral Sylow 2-subgroups
cites work: Isomorphism of Sylow Subgroups of Infinite Groups.
cites work: On finite groups with cyclic Sylow subgroups. I
cites work: Zassenhaus conjecture for central extensions of S 5
cites work: Non-Abelian Sylow subgroups of finite groups of even order
cites work: Q3684278
cites work: On the number of Sylow subgroups in a finite group
cites work: Q3251484
cites work: Finite Subgroups in Integral Group Rings
cites work: Integral group rings of frobenius groups and the conjectures of H.J. Zassenhaus
cites work: A counterexample to the first Zassenhaus conjecture
cites work: A counterexample to the isomorphism problem for integral group rings
cites work: Finite groups of units and their composition factors in the integral group rings of the groups PSL(2, q)
cites work: Units of \(p\)-power order in principal \(p\)-blocks of \(p\)-constrained groups
cites work: On principal blocks of \(p\)-constrained groups
cites work: Endliche Gruppen I
cites work: Q3659962
cites work: Q4103728
cites work: Character tables and Sylow normalizers.
cites work: Group ring groups. Volume 1: Orders and generic constructions of units.
cites work: Group ring groups. Volume 2: Structure theorems of unit groups.
cites work: Group rings of finite strongly monomial groups: central units and primitive idempotents.
cites work: Units of integral group rings of Frobenius groups
cites work: Q3351575
cites work: Unit groups of integral group rings: old and new.
cites work: Composition Factors from the Group Ring and Artin's Theorem on Orders of Simple Groups
cites work: 𝑝-subgroups of units in ℤ𝔾
cites work: A Sylowlike theorem for integral group rings of finite solvable groups
cites work: Group theoretic and group ring theoretic determination of certain Sylow and Hall subgroups and the resolution of a question of R. Brauer
cites work: Q3032470
cites work: Q3440016
cites work: Some Sylow subgroups
cites work: Zassenhaus conjecture for \(A_5\)
cites work: Element orders and Sylow structure of finite groups.
cites work: Subgroup isomorphism problem for units of integral group rings
cites work: A Sylow theorem for the integral group ring of \(\mathrm{PSL}(2,q)\)
cites work: Partial augmentations power property: a Zassenhaus conjecture related problem
cites work: Finite Subgroups of Group Rings: A survey
cites work: Groups with two Sylow numbers are the product of two nilpotent Hall subgroups.
cites work: Sylow numbers and nilpotent Hall subgroups.
cites work: Q4660838
cites work: A Brauer-Wielandt formula (with an application to character tables)
cites work: Q4011123
cites work: Q4003498
cites work: Q3804887
cites work: Q4271282
cites work: The characterization of finite groups with abelian Sylow 2-subgroups
cites work: The Finite Simple Groups
cites work: Prime graph components of finite groups
DOI: 10.1007/S13226-021-00183-9
description: scientific article; zbMATH DE number 7453730