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Showing 1 to 5 of 5 for “"matrix group"”.
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Finite symplectic matrix groups
The finite subgroups of GL(m, Q) are those subgroups that fix a full lattice in Q^m together with some positive definite symmetric form. A subgroup of GL(m, Q) is called symplectic, if it fixes a nondegenerate skewsymmetric form. Such groups only exist if m is even. A symplectic subgroup of GL(2n, …
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Invariant proper holomorphic maps between balls
… that are invariant under the action of finite groups of unitary matrices. We are primarily interested in actions of groups that are fixed-point-free; for purposes of comparison we will briefly consider matrix groups that act with fixed points (that is, groups that have at least one nontrivial …
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Discrete and free subgroups of SL₂
In this thesis, we study finitely generated subgroups of the matrix group SL₂ (over various locally compact fields) which are both discrete and free. We first examine the existing literature on two- and three-generated subgroups of SL₂(R) and SL₂(C). Some such subgroups are known to be free, and …
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Hecke-Algebren zu unimodularen und unitären Matrixgruppen über Dedekind-Ringen
… of the Hecke algebras related to unimodular matrix groups over Dedekind domains and to unitary matrix groups over the ring of integers of an imaginary quadratic number field is being analysed. The first main result of the analysis of the unimodular groups over a Dedekind domain o is a measure …
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Algorithmic analysis of presentations of groups and modules
… Quillen-Suslin Theorem,2. the analysis of finite group presentations, more precisely enumerating finite L_2-quotients of finitely presented groups.The emphasis has been put on the constructive aspects of all considered issues and on the development of methods and algorithms. The thesis is …