Finite Abelian groups with isomorphic group algebras
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Publication:768318
DOI10.1215/S0012-7094-56-02304-3zbMath0075.23905OpenAlexW2024103434MaRDI QIDQ768318
Publication date: 1956
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-56-02304-3
Related Items (28)
Non-isomorphic 2-groups with isomorphic modular group algebras ⋮ Unnamed Item ⋮ The modular isomorphism problem: a survey ⋮ On the isomorphism of commutative group algebras ⋮ The isomorphism problem for group algebras: a criterion ⋮ Loop algebras of code loops ⋮ The modular isomorphism problem and abelian direct factors ⋮ On group invariants determined by modular group algebras: even versus odd characteristic ⋮ Commutative Group Algebras ⋮ On the Solvability of Unit Groups of Group Algebras ⋮ A cohomological approach to the modular isomorphism problem. ⋮ Finite Groups With Isomorphic Group Algebras ⋮ Group rings ⋮ Computing automorphism groups and testing isomorphisms for modular group algebras. ⋮ Advances in group rings ⋮ Group algebras over finitely generated rings ⋮ Isomorphic group rings of direct products ⋮ A comparison of group algebras of dihedral and quaternion groups ⋮ Gruppenringe und Differentiale ⋮ On the augmentation-maps of the subgroups of a group ⋮ On the isomorphism of group algebras ⋮ On group rings of Abelian p-groups of any cardinality ⋮ The modular isomorphism problem for two generated groups of class two ⋮ On the modular isomorphism problem for groups of class \(3\) and obelisks ⋮ Units of group rings and a conjecture of H. J. Zassenhaus ⋮ Units in the modular group algebra of a finite Abelian p-group ⋮ Units in group rings: Splittings and the isomorphism problem ⋮ A note on isomorphic group rings
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