Groups generated by elations

DOI10.1007/BF02993513zbMath0288.20060MaRDI QIDQ1846496

Ascher Wagner

Publication date: 1974

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Finite affine and projective planes (geometric aspects) (51E15) Combinatorial structures in finite projective spaces (51E20)

Related Items (27)

Maximal subgroups of symplectic groups stabilizing spreads ⋮ Geometry of root elements in groups of type $\mathrm E_{6}$ ⋮ Classification of subgroups of symplectic groups over finite fields containing a transvection. ⋮ The transvection free groups with polynomial rings of invariants ⋮ Residual properties of free groups, II ⋮ Subgroups of Classical Groups Generated by Long Root Elements ⋮ The finite irreducible linear groups with polynomial ring of invariants ⋮ Permutation representations of the finite classical groups of small degree or rank ⋮ Generation of Finite Groups of Lie Type ⋮ Fischer subspaces of Hermitian manifolds ⋮ Some subgroups of SL(n,\(2^ m)\). I ⋮ Determination of the finite primitive reflection groups over an arbitrary field of characteristic not two. II ⋮ Generation of finite almost simple groups by conjugates. ⋮ An algorithm of Katz and its application to the inverse Galois problem. ⋮ Unipotent elements of nonprime order in representations of the classical algebraic groups: two big Jordan blocks. ⋮ The faithful linear representations of least degree of \(S_n\) and \(A_n\) over a field of characteristic 2. ⋮ The faithful linear representations of least degree of \(S_n\) and \(A_n\) over a field of odd characteristic ⋮ Irreducible groups generated by transvections over finite fields of characteristic two ⋮ Geometry of 1-tori in $\mathrm {GL}_n$ ⋮ On the subgroups of the group \(PSL_4(2^m)\) ⋮ Generation of pairs of short root subgroups in Chevalley groups ⋮ The subgroups of \(PSL(5,2^a)\) ⋮ Sets of Transvections Generating Subgroups Isomorphic to Special Linear Groups ⋮ Abstract homomorphisms of algebraic groups: problems and bibliography ⋮ Finite quotients of the pure symplectic braid group ⋮ Some aspects of finite linear groups: A survey ⋮ Generation of special linear groups by transvections

Cites Work

• Charakterisierungen der endlichen desarguesschen projektiven Ebenen
• Transitivity of finite permutation groups on unordered sets
• Some subgroups of \(SI_ n(F_2)\)
• Finite groups generated by 3-transpositions. I
• Some groups generated by transvections
• On Elations of Finite Projective Spaces of Even Order
• Endliche Gruppen I
• On Elations of Finite Projective Spaces of Odd Order
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