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Free Products of Units in Algebras. II. Crossed Products

✍ Scribed by Jairo Z. Gonçalves; Arnaldo Mandel; Mazi Shirvani

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
195 KB
Volume
233
Category
Article
ISSN
0021-8693

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✦ Synopsis

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.

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