The structure of the unit group of the group algebra $\mathbb {F}_{2^k}A_4$
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 2, pp. 531-539
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The structure of the unit group of the group algebra of the group $A_4$ over any finite field of characteristic 2 is established in terms of split extensions of cyclic groups.
The structure of the unit group of the group algebra of the group $A_4$ over any finite field of characteristic 2 is established in terms of split extensions of cyclic groups.
DOI :
10.1007/s10587-011-0071-5
Classification :
15A33, 16S34, 16U60, 20C05
Keywords: group ring; group algebra; dihedral group; cyclic group
Keywords: group ring; group algebra; dihedral group; cyclic group
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author = {Gildea, Joe},
title = {The structure of the unit group of the group algebra $\mathbb {F}_{2^k}A_4$},
journal = {Czechoslovak Mathematical Journal},
pages = {531--539},
year = {2011},
volume = {61},
number = {2},
doi = {10.1007/s10587-011-0071-5},
mrnumber = {2905421},
zbl = {1237.16035},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0071-5/}
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Gildea, Joe. The structure of the unit group of the group algebra $\mathbb {F}_{2^k}A_4$. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 2, pp. 531-539. doi: 10.1007/s10587-011-0071-5
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