On the determination of Sylow numbers
From MaRDI portal
Publication:2065331
DOI10.1007/s13226-021-00183-9zbMath1485.16034OpenAlexW3212138700MaRDI QIDQ2065331
Wolfgang Kimmerle, Iris Köster
Publication date: 7 January 2022
Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13226-021-00183-9
Group rings (16S34) Integral representations of finite groups (20C10) Units, groups of units (associative rings and algebras) (16U60)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sylow numbers and nilpotent Hall subgroups.
- Unit groups of integral group rings: old and new.
- Subgroup isomorphism problem for units of integral group rings
- Units of \(p\)-power order in principal \(p\)-blocks of \(p\)-constrained groups
- Group ring groups. Volume 1: Orders and generic constructions of units.
- Group ring groups. Volume 2: Structure theorems of unit groups.
- Thin finite simple groups
- A Sylow theorem for the integral group ring of \(\mathrm{PSL}(2,q)\)
- Zassenhaus conjecture for \(A_5\)
- Finite groups with dihedral Sylow 2-subgroups
- Prime graph components of finite groups
- Ein Sylowsatz für endliche \(p\)-Untergruppen von \(GL(n,Z)\)
- On finite groups with cyclic Sylow subgroups. I
- A Sylowlike theorem for integral group rings of finite solvable groups
- Group theoretic and group ring theoretic determination of certain Sylow and Hall subgroups and the resolution of a question of R. Brauer
- Character tables and Sylow normalizers.
- Integral group rings with all central units trivial
- Groups with two Sylow numbers are the product of two nilpotent Hall subgroups.
- Non-Abelian Sylow subgroups of finite groups of even order
- A counterexample to the first Zassenhaus conjecture
- Global and local properties of finite groups with only finitely many central units in their integral group ring
- Torsion subgroups in the units of the integral group ring of \(\mathrm{PSL}(2,p^3)\).
- Partial augmentations power property: a Zassenhaus conjecture related problem
- On torsion subgroups in integral group rings of finite groups.
- Group rings of finite strongly monomial groups: central units and primitive idempotents.
- On the number of Sylow subgroups in a finite group
- The characterization of finite groups with abelian Sylow 2-subgroups
- Element orders and Sylow structure of finite groups.
- Sylow theorems for infinite groups
- On Principal Blocks of p -Constrained Groups
- A Brauer-Wielandt formula (with an application to character tables)
- Finite Subgroups in Integral Group Rings
- Isomorphism of Sylow Subgroups of Infinite Groups.
- Some Sylow subgroups
- Finite groups of units and their composition factors in the integral group rings of the groups PSL(2, q)
- The Finite Simple Groups
- Composition Factors from the Group Ring and Artin's Theorem on Orders of Simple Groups
- Integral group rings of frobenius groups and the conjectures of H.J. Zassenhaus
- Units of integral group rings of Frobenius groups
- Algorithmic Aspects of Units in Group Rings
- On the First Zassenhaus Conjecture and Direct Products
- Finite Subgroups of Group Rings: A survey
- 𝑝-subgroups of units in ℤ𝔾
- Zassenhaus conjecture for central extensions of S 5
- Endliche Gruppen I
- A counterexample to the isomorphism problem for integral group rings
This page was built for publication: On the determination of Sylow numbers
