Voir la notice de l'article provenant de la source Cambridge University Press
Creedon, Leo; Gildea, Joe. The Structure of the Unit Group of the Group Algebra. Canadian mathematical bulletin, Tome 54 (2011) no. 2, pp. 237-243. doi: 10.4153/CMB-2010-098-5
@article{10_4153_CMB_2010_098_5,
author = {Creedon, Leo and Gildea, Joe},
title = {The {Structure} of the {Unit} {Group} of the {Group} {Algebra}},
journal = {Canadian mathematical bulletin},
pages = {237--243},
year = {2011},
volume = {54},
number = {2},
doi = {10.4153/CMB-2010-098-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-098-5/}
}
TY - JOUR AU - Creedon, Leo AU - Gildea, Joe TI - The Structure of the Unit Group of the Group Algebra JO - Canadian mathematical bulletin PY - 2011 SP - 237 EP - 243 VL - 54 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-098-5/ DO - 10.4153/CMB-2010-098-5 ID - 10_4153_CMB_2010_098_5 ER -
[1] [1] Bovdi, A. A. and Szakács, A., A basis for the unitary subgroup of the group algebra of units in a finite commutative group algebra. Publ. Math. Debrecen 46(1995), no. 1–2, 97–120. Google Scholar
[2] [2] Bovdi, V. and Kovács, L. G., Unitary units in modular group algebras. Manuscr. Math. 84(1994), no. 1, 57–72. doi:10.1007/BF02567443 Google Scholar
[3] [3] Bovdi, V. and Rosa, A. L., On the order of the unitary subgroup of a modular group algebra. Comm. Algebra 28(2000), no. 4, 1897–1905. doi:10.1080/00927870008826934 Google Scholar
[4] [4] Bovdi, V., Konovalov, A., Rossmanith, R., and Schneider, C.. LAGUNA—Lie AlGebras and UNits of group Algebras. http://www.gap-system.org/Packages/laguna.html Google Scholar
[5] [5] Brooks, M., The Matrix reference Manual (online), 2005. http://www.ee.ic.ac.uk/hp/staff/dmb/matrix/intro.html Google Scholar
[6] [6] Davis, P. J., Circulant matrices. John Wiley & Sons, New York-Chichester-Brisbane, 1979. Google Scholar
[7] [7] Creedon, L., The unit group of small group algebras and the minimum counterexample to the isomorphism problem. Int. J. Pure Appl. Math. 49(2008), no. 4, 531–537. Google Scholar
[8] [8] Gildea, J., On the order of . Int. J. Pure Appl. Math. 46(2008), no. 2, 267–272. Google Scholar
[9] [9] Hurley, T., Group rings and rings of matrices. Int. J. Pure Appl. Math. 31(2006), no. 3, 319–335. Google Scholar
[10] [10] Milies, C. Polcino and Sehgal, S. K., An introduction to group rings. Algebras and Applications, 1, Kluwer Academic Publishers, Dordrecht, 2002. Google Scholar
[11] [11] Sandling, R., Units in the modular group algebra of a finite abelian p-group. J. Pure Appl. Algebra 33(1984), no. 3, 337–346. doi:10.1016/0022-4049(84)90066-5 Google Scholar
[12] [12] Sandling, R., Presentations for units groups of modular group algebras of groups of order 16 . Math. Comp. 59(1992), no. 200, 689–701. Google Scholar
[13] The GAP Group, GAP—groups, algorithms, programming. Version 4.4.10, 2007. http://www.gap-system.org Google Scholar
Cité par Sources :