Units of Integral Group Rings of Some Metacyclic Groups
Canadian mathematical bulletin, Tome 37 (1994) no. 2, pp. 228-237
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In this paper, we consider all metacyclic groups of the type 〈a,b | an - 1, b 2 = 1, ba = aib〉 and give a concrete description of their rational group algebras. As a consequence we obtain, in a natural way, units which generate a subgroup of finite index in the full unit group, for almost all such groups.
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
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