A counterexample to the isomorphism problem for integral group rings

From MaRDI portal
Publication:5945544

DOI10.2307/3062112zbMath0990.20002OpenAlexW2014094739WikidataQ124801579 ScholiaQ124801579MaRDI QIDQ5945544

Martin Hertweck

Publication date: 11 August 2002

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3062112




Related Items (82)

A new characterization for some extensions of \(\mathrm{PSL}(2,q)\) for some \(q\) by some character degrees.Non-isomorphic 2-groups with isomorphic modular group algebrasAutomorphisms of Finite GroupsUnnamed ItemThe isomorphism problem for universal enveloping algebras of solvable Lie algebrasDiagonal-preserving isomorphisms of étale groupoid algebrasColeman automorphisms of holomorphs of completely reducible and almost simple groupsColeman automorphisms of finite groups and their minimal normal subgroupsThe normalizer property for integral group rings of finite solvable T-groupsThe Normalizer Property for Integral Group Rings of Some Finite Nilpotent-by-Nilpotent GroupsThe finite conjugacy centre of the unit group of integral group ringsOn the normaliser problem for G-adapted group rings of torsion groupsThe Isomorphism Problem for Integral Group Rings of a Complete Monomial GroupSylow like theorems for $V(mathbb{Z}G)$Algorithmic Aspects of Units in Group RingsThe influence of maximal quotient groups on the normalizer conjecture of integral group ringsOn Coleman automorphisms of finite nilpotent groups by cyclic groupsThe modular isomorphism problem: a surveyOn the IYB-property in some solvable groups.Local-global invariants of finite and infinite groups: around Burnside from another side.On the prime graph question for integral group rings of 4-primary groups IClass-preserving Coleman automorphisms of finite groups whose Sylow 2-subgroups are semidihedralAutomorphism groups of Cayley evolution algebrasHomomorphisms and rigid isomorphisms of twisted group doubles𝑝-subgroups of units in ℤ𝔾NORMALIZERS AND FREE GROUPS IN THE UNIT GROUP OF AN INTEGRAL SEMIGROUP RINGAbelianization and fixed point properties of units in integral group ringsAritmethic lattices of \(\operatorname{SO}(1,n)\) and units of group ringsUnits in orders and integral semigroup rings.The isomorphism problem for universal enveloping algebras of Lie algebrasOn group invariants determined by modular group algebras: even versus odd characteristicClifford's theorem for orbit categoriesProblems on characters: solvable groupsA reduction theorem for the isomorphism problem of group algebras over fieldsRepresentability of permutation representations on coalgebras and the isomorphism problemThe twisted group ring isomorphism problem over fieldsThe normalizer property for integral group rings of holomorphs of finite nilpotent groups and the symmetric groupsRecognition of PSL(2,p) ×PSL(2,p) by its complex group algebraOn torsion subgroups in integral group rings of finite groups.Coleman automorphisms of permutational wreath products IIRational group algebras of finite groups: from idempotents to units of integral group rings.Free products in the unit group of the integral group ring of a finite groupThe normalizer property for the integral group ring of the wreath product of two symmetric groups Sk and SnColeman automorphisms of finite groups with a self-centralizing normal subgroupOn Coleman automorphisms of wreath products of finite nilpotent groups by Abelian groups.The normalizer property for integral group rings of wreath products of finite nilpotent groups by some 2-groupsThe normalizer property for integral group rings of holomorphs of finite groups with trivial centerAlgebras ofp-Groups of Class 2 Over the RationalsSubgroup isomorphism problem for units of integral group ringsThe Normalizer Property for Integral Group Rings of a Class of Complete Monomial GroupsComputing automorphism groups and testing isomorphisms for modular group algebras.On the prime graph question for integral group rings of Conway simple groupsSimple classical groups of Lie type are determined by their character degrees.COLEMAN AUTOMORPHISMS OF STANDARD WREATH PRODUCTS OF NILPOTENT GROUPS BY GROUPS WITH PRESCRIBED SYLOW 2-SUBGROUPSThe Normalizer Property for Integral Group Rings of Complete Monomial GroupsSome Results on Hypercentral Units in Integral Group RingsOn hypercentral units in integral group ringsThe normalizer property for finite groups whose Sylow 2-subgroups are abelianOn the normalizer problem.𝑛-inner automorphisms of finite groupsOn amenability of group algebras. I.Coleman automorphisms of holomorphs of finite abelian groups.The unit group of 1+Δ(G)Δ(A) is torsion-freeThe Normalizer Property for Integral Group Rings of Wreath Products of Finite Nilpotent Groups by Cyclic GroupsColeman Automorphisms of Permutational Wreath ProductsThe Subgroup Normalizer Problem for Integral Group Rings of Some Nilpotent and Metacyclic GroupsThe Group of Outer Automorphisms of the Semidirect Product of the Additive Group of a Ring by a Group of UnitsOn the determination of Sylow numbersFrom examples to methods: Two cases from the study of units in integral group ringsStructure of group rings and the group of units of integral group rings: an invitationTHE CONORMAL TORUS IS A COMPLETE KNOT INVARIANTThe normalizer of a group in the unit group of its group ringUnits of group rings and a conjecture of H. J. ZassenhausSome results on FC-hypercentral units of integral group ringsSome Extensions of PSL(2,p2) are Uniquely Determined by Their Complex Group AlgebrasThe normalizer property for integral group rings of Frobenius groupsThe normalizer of a metabelian group in its integral group ringTwisted group ring isomorphism problem and infinite cohomology groupsOn the normalizer problem for integral group rings of torsion groupsClass-Preserving Coleman Automorphisms of Finite Groups with Prescribed CentralizersClass-preserving Coleman automorphisms of some classes of finite groupsColeman automorphisms of generalized dihedral groups.




This page was built for publication: A counterexample to the isomorphism problem for integral group rings