Determining Units in Some Integral Group Rings
Canadian mathematical bulletin, Tome 33 (1990) no. 2, pp. 242-246
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In this brief note, we will show how in principle to find all units in the integral group ring ZG, whenever G is a finite group such that and Z(G) each have exponent 2, 3, 4 or 6. Special cases include the dihedral group of order 8, whose units were previously computed by Polcino Milies [5], and the group discussed by Ritter and Sehgal [6]. Other examples of noncommutative integral group rings whose units have been computed include , but in general very little progress has been made in this direction. For basic information on units in group rings, the reader is referred to Sehgal [7].
Goodaire, E. G.; Jespers, E.; Parmenter, M. M. Determining Units in Some Integral Group Rings. Canadian mathematical bulletin, Tome 33 (1990) no. 2, pp. 242-246. doi: 10.4153/CMB-1990-038-8
@article{10_4153_CMB_1990_038_8,
author = {Goodaire, E. G. and Jespers, E. and Parmenter, M. M.},
title = {Determining {Units} in {Some} {Integral} {Group} {Rings}},
journal = {Canadian mathematical bulletin},
pages = {242--246},
year = {1990},
volume = {33},
number = {2},
doi = {10.4153/CMB-1990-038-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-038-8/}
}
TY - JOUR AU - Goodaire, E. G. AU - Jespers, E. AU - Parmenter, M. M. TI - Determining Units in Some Integral Group Rings JO - Canadian mathematical bulletin PY - 1990 SP - 242 EP - 246 VL - 33 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-038-8/ DO - 10.4153/CMB-1990-038-8 ID - 10_4153_CMB_1990_038_8 ER -
%0 Journal Article %A Goodaire, E. G. %A Jespers, E. %A Parmenter, M. M. %T Determining Units in Some Integral Group Rings %J Canadian mathematical bulletin %D 1990 %P 242-246 %V 33 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-038-8/ %R 10.4153/CMB-1990-038-8 %F 10_4153_CMB_1990_038_8
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