Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 49, No. 1, pp. 1-31 (2008)
Automorphisms of Verardi groups: Small upper triangular matrices over rings
Theo Grundhöfer and Markus StroppelMathematisches Institut, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany; Institut für Geometrie und Topologie, Universität Stuttgart, D-70550 Stuttgart, Germany
Abstract: Verardi's construction of special groups of prime exponent is generalized, and put into a context that helps to decide isomorphism problems and to determine the full group of automorphisms (or at least the corresponding orbit decomposition). The groups in question may be interpreted as groups of unitriangular matrices over suitable rings. Finiteness is not assumed.
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Electronic version published on: 26 Feb 2008. This page was last modified: 28 Jan 2013.