Lie Properties of Symmetric Elements Under Oriented Involutions

REFERENCES

• Broche Cristo , O. , Polcino Milies , C. ( 2006 ). Symmetric elements under oriented involutions in group rings . Comm. Algebra 34 : 3347 – 3356 .
   Web of Science ®Google Scholar
• Giambruno , A. , Polcino Milies , C. , Sehgal , S. K. ( 2009 ). Lie properties of symmetric elements in group rings . J. Algebra 321 : 890 – 902 .
   Web of Science ®Google Scholar
• Giambruno , A. , Sehgal , S. K. ( 1989 ). A Lie property in group rings . Proc. Amer. Math. Soc. 105 : 287 – 292 .
   Google Scholar
• Giambruno , A. , Sehgal , S. K. ( 1993 ). Lie nilpotence of group rings . Comm. Algebra 21 : 4253 – 4261 .
   Web of Science ®Google Scholar
• Herstein , I. N. ( 1976 ). Rings with Involution . Chicago : University of Chicago Press .
   Google Scholar
• Lee , G. T. ( 1999 ). Group rings whose symmetric elements are Lie nilpotent . Proc. Amer. Math. Soc. 127 : 3153 – 3159 .
   Web of Science ®Google Scholar
• Lee , G. T. ( 2000 ). The Lie n-Engel property in group rings . Comm. Algebra 28 : 867 – 881 .
   Web of Science ®Google Scholar
• Lee , G. T. ( 2010 ). Group Identities on Units and Symmetric Units of Group Rings . London : Springer-Verlag .
   Google Scholar
• Lee , G. T. , Sehgal , S. K. , Spinelli , E. ( 2009 ). Lie properties of symmetric elements in group rings. II . J. Pure Appl. Algebra 213 : 1173 – 1178 .
   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) .
   Google Scholar
• Passi , I. B. S. , Passman , D. S. , Sehgal , S. K. ( 1973 ). Lie solvable group rings . Canad. J. Math. 25 : 748 – 757 .
   Web of Science ®Google Scholar
• Passman , D. S. ( 1977 ). The Algebraic Structure of Group Rings . New York : Wiley .
   Google Scholar
• Polcino Milies , C. , Sehgal , S. K. ( 2002 ). An Introduction to Group Rings . Dordrecht : Kluwer Academic Publishers .
   Google Scholar
• Robinson , D. J. S. ( 1996 ). A Course in the Theory of Groups. , 2nd ed. New York : Springer-Verlag .
   Google Scholar
• Sehgal , S. K. ( 1978 ). Topics in Group Rings . New York : Marcel Dekker .
   Google Scholar
• Communicated by S. Sehgal.
   Google Scholar