Symmetric Elements Under Oriented Involutions in Group Rings

REFERENCES

• Bovdi , A. A. ( 1984 ). Unitarity of the multiplicative group of an integral group ring . Mat. USSR Sbornik 47 ( 2 ): 377 – 389 .
   Google Scholar
• Bovdi , V. ( 2001 ). On symmetric units in group algebras . Comm. Algebra 29 ( 12 ): 5411 – 5422 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Bovdi , A. A. , Sehgal , S. K. ( 1992 ). Unitary subgroup of integral group rings . Manuscripta Math. 76 : 213 – 222 . [CSA]
   Google Scholar
• Broche Cristo , O. ( 2003 ). A Comutatividade Dos Elementos Simétricos e Anti-Simétricos Em Anéis de Grupo . Ph.D. thesis, University of Sã Paulo , São Paulo , Brazil .
   Google Scholar
• Broche Cristo , O. Commutativity of symmetric elements in group rings . To appear in J. Group Theory . [CSA]
   Google Scholar
• Goodaire , E. G. , Jespers , E. , Polcino Milies , C. ( 1996 ). Alternative Loop Rings . Elsevier .
   Google Scholar
• Jespers , E. , Ruiz , M. On symmetric elements and symmetric units in group rings . To appear in Commun. Algebra . [CSA]
   Google Scholar
• Li , Y. ( 1998 ). Units of Z(G × C 2) . Quaestiones Mathematicae 21 : 201 – 218 . [CSA]
   Google Scholar
• Li , Y. ( 2001 ). Some results on bicyclic units in an integral group ring . Comm. Algebra 29 ( 3 ): 1339 – 1345 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Novikov , S. P. ( 1970 ). Algebraic construction and properties of hermitian analogues of K-theory over rings with involution from the viewpoint of Hamiltonian formalism. Applications to differential topology and the theory of characteristitic classes II . English transl.in Math. USSR Izv. 4 ( 3 ). [CSA]
   Google Scholar
• Polcino Milies , C. , Sehgal , S. K. ( 2002 ). An Introduction to Group Rings . Dordrecht : Kluwer Academic Publishers .
   Google Scholar
• Communicated by S. Sehgal.
   Google Scholar