References
S.A. Amitsur,Finite subgroups of division rings,Trans. Amer. Math. Soc. 80 (1955), 361–386
Benham Banieqbal,Classification of finite subgroups of 2×2 matrices over a division algebra of characteristic, zero,J. Algebra, 119 (1988), 449–512
C.W. Curtis and I. Reiner,Methods in Reprsentation Theory, Vol. 1,John Wiley, New York, 1987
A. Giambruno and S.K. Sehgal,Generators of Large Subgroups of Units of Integral Group Rings of Nilpotent Groups,J. Algebra, to appear
E. Jespers,Bicyclic units in some integral group rings,Can. Math. Bull., to appear
E. Jespers and G. Leal,Describing units of integral group rings of some 2-groups,Comm. Algebra, 19(6)(1991), 1809–1827
E. Jespers and G. Leal,Generators of large subgroups of the unit group of integral group rings,Manuscripta Mathematica, 78 (1993), 303–315
E. Jespers and G. Leal, Units of integral group rings of Hamiltonian groups,Comm. Algebra, to appear
E. Jespers, G. Leal and C. Polcino Milies,Units of integral group rings of some metacyclic groups,Can. Math. Bull. 32 (2) (1994), 228–237
E. Jespers, G. Leal and M.M. Parmenter,Bicyclic and Bass cyclic units in group rings,Canadian Math. Bull. 36 (2) (1993), 178–182, to appear
E. Jespers and M.M. Parmenter,Units of group rings of groups of order 16,Glasgow Math. J., 35 (1993), 367–379
D.S. Passman,The algebraic structure of group rings,John Wiley, New York, 1977
D.S. Passman,Permutation groups,W.A. Benjamin, New York, 1968
J. Ritter and S.K. Sehgal,Certain normal subgroups of units in group rings,J. Reine Angew. Math., 381 (1987), 214–220
J. Ritter and S.K. Sehgal,Construction of Units in Integral Group Rings of Finite Nilpotent Groups,Trans. Amer. Math. Soc., 324 (2) (1991), 603–621
J. Ritter and S.K. Sehgal,Generators of Subgroups of U(ZG),Contemp. Math.,93 (1989), 331–347
J. Ritter and S.K. Sehgal,Construction of units in group rings of monomial and symmetric groups,J. Algebra 142 (1991), 511–526
J. Ritter and S.K. Sehgal,Units of group rings of solvable and Frobenius groups over large rings of cyclotomic integers,J. Algebra 158 (1993), 116–129
D.J.S. Robinson,A course in the theory of groups,Springer-Verlag, Berlin, 1982
S.K. Sehgal,Units in integral group rings,Longman, Essex, 1993
A.D. Thomas and G.V. Wood,Group Tables,Shiva Publishing Limited, 1980
M. Suzuki,Group Theory,Springer-Verlag, New York, 1982
Author information
Authors and Affiliations
Additional information
The first named author is supported in part by NSERC grant OGP0036631, Canada, and by DGICYT, Spain
The second named author is partialy supported by CNPq, Brasil
This work was done while both authors were staying at the Department of Mathematics of the University of Murcia. They would like to thank the department for its warm hospitality and for the pleasant working conditions 1991 Mathematics Subject Classification. 16U60, 16S34, 20C05
Rights and permissions
About this article
Cite this article
Jespers, E., Leal, G. Degree 1 and 2 representations of nilpotent groups and applications to units of group rings. Manuscripta Math 86, 479–498 (1995). https://doi.org/10.1007/BF02568007
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02568007