Title of article
Free Products of Units in Algebras. II. Crossed Products
Author/Authors
Jairo Z. Gonçalves، نويسنده , , Arnaldo Mandel، نويسنده , , Mazi Shirvani، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2000
Pages
27
From page
567
To page
593
Abstract
We investigate the problem of explicitly constructing non-cyclic free groups in finite-dimensional crossed products using valuation criteria. The results are applied to produce explicit free groups in division algebras generated by nilpotent groups, and symmetric free groups in group rings of finite groups in arbitrary characteristic.
Keywords
division rings , crossed product , Free group , involution , symmetrical units
Journal title
Journal of Algebra
Serial Year
2000
Journal title
Journal of Algebra
Record number
695213
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