Voir la notice de l'article provenant de la source Cambridge University Press
Rao, M. Anwar. The Characterisation of Modular Group Algebras Having Unit Groups of Nilpotency Class 3. Canadian mathematical bulletin, Tome 38 (1995) no. 1, pp. 112-116. doi: 10.4153/CMB-1995-015-0
@article{10_4153_CMB_1995_015_0,
author = {Rao, M. Anwar},
title = {The {Characterisation} of {Modular} {Group} {Algebras} {Having} {Unit} {Groups} of {Nilpotency} {Class} 3},
journal = {Canadian mathematical bulletin},
pages = {112--116},
year = {1995},
volume = {38},
number = {1},
doi = {10.4153/CMB-1995-015-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-015-0/}
}
TY - JOUR AU - Rao, M. Anwar TI - The Characterisation of Modular Group Algebras Having Unit Groups of Nilpotency Class 3 JO - Canadian mathematical bulletin PY - 1995 SP - 112 EP - 116 VL - 38 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-015-0/ DO - 10.4153/CMB-1995-015-0 ID - 10_4153_CMB_1995_015_0 ER -
%0 Journal Article %A Rao, M. Anwar %T The Characterisation of Modular Group Algebras Having Unit Groups of Nilpotency Class 3 %J Canadian mathematical bulletin %D 1995 %P 112-116 %V 38 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-015-0/ %R 10.4153/CMB-1995-015-0 %F 10_4153_CMB_1995_015_0
[1] 1. Baginski, C., Groups of units of modular group algebras, Proc. Amer. Math. Soc. 101(1987), 619–624. Google Scholar
[2] 2. Cannon, J. J., An introduction to the group theory language Cayley, Computational group theory, Academic Press, London, 1984, 145–183. Google Scholar
[3] 3. Coleman, D. B. and Passman, D. S., Units in modular group rings, Proc. Amer. Math. Soc. 25(1970), 510– 512. Google Scholar
[4] 4. Du, X., The centers of a radical ring, Canad. Math. Bull. (2) 35(1992), 174–179. Google Scholar
[5] 5. Gupta, N. and Levin, F., On the Lie ideals of a ring, J. Algebra 81(1983), 225–231. Google Scholar
[6] 6. Huppert, B., Endliche Gruppen I, Springer, Berlin, 1967. Google Scholar
[7] 7. Laue, H., On the associated Lie ring and the adjoint group of a radical ring, Canad. Math. Bull. (2) 27( 1984), 215–222. Google Scholar
[8] 8. Mann, A. and Shalev, A., The nilpotency class of the unit group of a modular group algebra II, Israel J. Math. 70(1990), 267–277. Google Scholar
[9] 9. Rao, M. A., Computer calculations of presentations of the unit groups of the modular group algebras of the groups of order dividing 32, Ph.D. thesis, Manchester Univ., 1993. Google Scholar
[10] 10. Sandling, R., Presentations for unit groups of modular group algebras of groups of order 16, Math. Comp. 59(1992), 689–701. Google Scholar
[11] 11. Shalev, A., The nilpotency class of the unit group of a modular group algebra I, Israel J. Math. 70(1990), 257–266. Google Scholar
[12] 12. Shalev, A., The nilpotency class of the unit group of a modular group algebra III, Arch. Math. (Basel) 60(1993), 136–145. Google Scholar
Cité par Sources :