Subgroup isomorphism problem for units of integral group rings

DOI10.1515/jgth-2016-0026zbMath1370.20004arXiv1511.04550OpenAlexW2963084023MaRDI QIDQ516378

Leo Margolis

Publication date: 14 March 2017

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.04550

zbMATH Keywords

integral group ringsgroup of normalized unitssubgroup isomorphism problem

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Special subgroups (Frattini, Fitting, etc.) (20D25) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Related Items

Algorithmic Aspects of Units in Group Rings ⋮ 𝑝-subgroups of units in ℤ𝔾 ⋮ On the determination of Sylow numbers ⋮ From examples to methods: Two cases from the study of units in integral group rings

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Cites Work

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• Mini-workshop: Arithmetic of group rings. Abstracts from the mini-workshop held November 25 -- December 1, 2007.
• Torsion units in integral group rings of some metabelian groups. II
• Rigidity of \(p\)-adic \(p\)-torsion
• Zassenhaus conjecture for \(A_5\)
• Finite groups with dihedral Sylow 2-subgroups
• Schur indices of some groups of Lie type
• The theory of finite groups. An introduction.
• HeLP: a GAP package for torsion units in integral group rings
• Kennzeichnung endlicher linearer Gruppen als Permutationsgruppen
• Torsion subgroups in the units of the integral group ring of \(\mathrm{PSL}(2,p^3)\).
• On torsion subgroups in integral group rings of finite groups.
• The characterization of finite groups with dihedral Sylow 2-subgroups. I, II
• Presentations of groups acting discontinuously on direct products of hyperbolic spaces
• Character degrees of extensions of PSL2(q) and SL2(q)
• Finite Subgroups in Integral Group Rings
• ON FINITE GROUPS OF EVEN ORDER WHOSE 2-SYLOW GROUP IS A QUATERNION GROUP
• Finite groups of units and their composition factors in the integral group rings of the groups PSL(2, q)
• Unit Groups of Integral Finite Group Rings with No Noncyclic Abelian Finitep-Subgroups
• Torsion Units in Integral Group Rings
• On the Structure of Group Algebras, I
• Finite Groups the Centralizers of whose involutions have Normal 2-Complements
• Finite Groups with Quasi-Dihedral and Wreathed Sylow 2-Subgroups
• Sylow like theorems for $V(mathbb{Z}G)$
• A counterexample to the isomorphism problem for integral group rings