Free products of units in algebras.: II.: Crossed products

[摘要] 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. (C) 2000 Academic Press.

[发布日期] 2000-11-15

[关键词] division rings;crossed product;free group;involution;symmetrical units