Voir la notice de l'article provenant de la source Cambridge University Press
Jespers, Eric; Leal, Guilherme; Milies, C. Polcino. Units of Integral Group Rings of Some Metacyclic Groups. Canadian mathematical bulletin, Tome 37 (1994) no. 2, pp. 228-237. doi: 10.4153/CMB-1994-034-0
@article{10_4153_CMB_1994_034_0,
author = {Jespers, Eric and Leal, Guilherme and Milies, C. Polcino},
title = {Units of {Integral} {Group} {Rings} of {Some} {Metacyclic} {Groups}},
journal = {Canadian mathematical bulletin},
pages = {228--237},
year = {1994},
volume = {37},
number = {2},
doi = {10.4153/CMB-1994-034-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-034-0/}
}
TY - JOUR AU - Jespers, Eric AU - Leal, Guilherme AU - Milies, C. Polcino TI - Units of Integral Group Rings of Some Metacyclic Groups JO - Canadian mathematical bulletin PY - 1994 SP - 228 EP - 237 VL - 37 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-034-0/ DO - 10.4153/CMB-1994-034-0 ID - 10_4153_CMB_1994_034_0 ER -
%0 Journal Article %A Jespers, Eric %A Leal, Guilherme %A Milies, C. Polcino %T Units of Integral Group Rings of Some Metacyclic Groups %J Canadian mathematical bulletin %D 1994 %P 228-237 %V 37 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-034-0/ %R 10.4153/CMB-1994-034-0 %F 10_4153_CMB_1994_034_0
[1] 1. Bass, H., The Dirichlet Unit Theorem, Induced Characters and Whitehead Groups of Finite Groups, Topology 4( 1966), 391–410. Google Scholar
[2] 2. Coleman, D. B., Finite Groups with Isomorphic Group Algebras, Trans. Amer. Math. Soc. 105(1962), 1–8. Google Scholar
[3] 3. Curtis, C. W. and Reiner, I., Representation Theory of Finite Groups and Associative Algebras, Wiley, New York, 1962. Google Scholar
[4] 4. Jespers, E. and Leal, G., Describing Units in Integral Group Rings of some p-Groups, Comm. Algebra (6)19(1991), 1809–1827. Google Scholar
[5] 5. Jespers, E., Leal, G. and Polcino, C. Milies, Idempotents in Rational Abelian Group Algebras, preprint. Google Scholar
[6] 6. Jespers, E. and Parmenter, M. M., Bicyclic Units in ZS3, Bull. Belgian Math. Soc. (2) 44(1992), 141–145. Google Scholar
[7] 7. Jespers, E. and Parmenter, M. M., Units of Group Rings of Groups of Order 16, Glasgow Math. J., to appear. Google Scholar
[8] 8. Kleinert, E., Einheiten in ZD , J. Number Theory 13(1981), 541–561. Google Scholar
[9] 9. Leal, G. and Polcino, C. Milies, Isomorphic Group (and Loop) Algebras, J. Algebra 155(1993), 195–210. Google Scholar
[10] 10. Perlis, S., Walker, G. L., Abelian Group Algebras of Finite Order, Trans. Amer. Math. Soc. 68(1950), 420–426. Google Scholar
[11] 11. Ritter, J., Large Subgroups in the Unit Group of Group Rings (a Survey), Bayreuth. Math. Schr. 33(1990), 153–171. Google Scholar
[12] 12. Ritter, J. and Sehgal, S. K., Construction of Units in Integral Group Rings of Finite Nilpotent Groups, Trans. Amer. Math. Soc. (2) 324(1991), 603–621. Google Scholar
[13] 13. Ritter, J. and Sehgal, S. K., Generators of Subgroups of U(ZG), Contemporary Math. 93(1989), 331–347. Google Scholar
[14] 14. Ritter, J. and Sehgal, S. K., Construction of units in group rings of monomial and symmetric groups, J. Algebra, to appear. Google Scholar
[15] 15. Sehgal, S. K., Units of Integral Group Rings; a Survey, to appear. Google Scholar
[16] 16. Sehgal, S. K., Topics in Group Rings, Marcel Dekker, New York, 1978. Google Scholar
[17] 17. Vaserstein, L. N., The Structure of Classic Arithmetic Groups of Rank greater than One, Math. USSR-Sb. 20(1973),465–492. Google Scholar
Cité par Sources :