Units in Orders and Integral Semigroup Rings

Ann Dooms, Eric Jespers, Stanley Orlando Juriaans

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1 Citation (Scopus)

Abstract

Let A be a finite-dimensional algebra over the rational numbers. The Wedderburn-Maltsev theorem tates that A decomposes as a sum of a semisimple subring and the Jacobson radical of A. In this aper the authors study the consequences of the Wedderburn-Maltsev theorem for unit groups of classical orders in such an algebra. The authors call the subgroup of a group
consisting of all elements with finitely many conjugates the finite conjugacy centre. A priori this need not be a central subgroup.
Original languageEnglish
Pages (from-to)675-689
Number of pages15
JournalJournal of Algebra
Volume265
Publication statusPublished - 28 May 2003

Bibliographical note

Journal of Algebra 265 (2) (2003), 675-689

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