Finite Subgroups of Division Rings
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Publication:5849825
DOI10.2307/1992994zbMath0065.25603OpenAlexW4240464925MaRDI QIDQ5849825
Publication date: 1955
Full work available at URL: https://doi.org/10.2307/1992994
Related Items (60)
Normal subgroups of skew linear groups ⋮ Maximal subgroups of almost subnormal subgroups in division rings ⋮ Unnamed Item ⋮ On torsion subgroups of Whitehead groups of division algebras. ⋮ Finite quotients of the multiplicative group of a finite dimensional division algebra are solvable ⋮ Associative subalgebras of the octonians ⋮ Degree 1 and 2 representations of nilpotent groups and applications to units of group rings ⋮ Products of free groups in the unit group of integral group rings. II ⋮ Algorithmic Aspects of Units in Group Rings ⋮ Subgroups of the Multiplicative Group of a Division Ring ⋮ Classification of finite subgroups of \(2\times 2\) matrices over a division algebra of characteristic zero ⋮ A classification of the automorphism groups of polarized abelian threefolds over finite fields ⋮ Counting the number of the twists of certain polarized abelian varieties ⋮ On a classification of the automorphism groups of polarized abelian surfaces over finite fields ⋮ Nilpotent decomposition in integral group rings ⋮ Division algebras graded by a finite group ⋮ Finite subgroups of arithmetic lattices in \(U (2,1)\) ⋮ Embedding Theorems for Ascending Nilpotent Groups ⋮ Groups which determine the Schur index of a representation ⋮ Plünnecke and Kneser type theorems for dimension estimates ⋮ Jordan constants of quaternion algebras over number fields and simple abelian surfaces over fields of positive characteristic ⋮ On the congruence subgroup problem for integral group rings ⋮ Abelianization and fixed point properties of units in integral group rings ⋮ Aritmethic lattices of \(\operatorname{SO}(1,n)\) and units of group rings ⋮ Units in orders and integral semigroup rings. ⋮ Locally Finite and Solvable Subgroups of Sfields ⋮ Finite subgroups of finite dimensional division algebras ⋮ Multiplicative Jordan decomposition in group rings with a Wedderburn component of degree 3. ⋮ Stably free modules over rings of Laurent polynomials. ⋮ Unnamed Item ⋮ Finite groups embeddable in division rings ⋮ Free linear actions of finite groups on products of spheres ⋮ Desargues configurations: minors and ambient automorphisms ⋮ Group algebras of Kleinian type and groups of units. ⋮ The Schur Group Conjecture for the Ring of Integers of a Number Field ⋮ Embedding a Latin square with transversal into a projective space ⋮ Finite subgroups occuring in finite-dimensional division algebras ⋮ Division algebras with a projective basis ⋮ From the Poincaré Theorem to generators of the unit group of integral group rings of finite groups ⋮ Finite quasisimple groups of 2×2 matrices over a division ring ⋮ Which integral group rings are Bass orders? ⋮ The Artin index of characters of finite faithful metacyclic groups ⋮ Subgroups of division rings ⋮ A classification of exceptional components in group algebras over abelian number fields ⋮ Finite groups acting on Severi-Brauer surfaces ⋮ Even-order subgroups of finite-dimensional division rings ⋮ The structure of several classes of matrix groups over a division ring ⋮ Embedding finite groups in rational division algebras. I ⋮ Embedding finite groups in rational division algebras. II ⋮ Automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fields ⋮ Maximal subgroups of \(\text{GL}_n(D)\) with finite conjugacy classes. ⋮ Embedding finite groups in rational division algebras. III ⋮ Finite quaternionic matrix groups ⋮ Unnamed Item ⋮ On maximal subgroups of the multiplicative group of a division algebra. ⋮ On soluble-by-finite subgroups of division algebras. ⋮ Dowling geometries representable over rings ⋮ Generators of large subgroups of the unit group of integral group rings ⋮ Lattice packings through division algebras ⋮ Finite groups of matrices over division rings
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