The structure of the unit group of the group algebra
Czechoslovak Mathematical Journal (2011)
- Volume: 61, Issue: 2, page 531-539
- ISSN: 0011-4642
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topGildea, Joe. "The structure of the unit group of the group algebra $\mathbb {F}_{2^k}A_4$." Czechoslovak Mathematical Journal 61.2 (2011): 531-539. <http://eudml.org/doc/196474>.
@article{Gildea2011,
abstract = {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.},
author = {Gildea, Joe},
journal = {Czechoslovak Mathematical Journal},
keywords = {group ring; group algebra; dihedral group; cyclic group; unit groups; group rings; group algebras; alternating group ; cyclic groups},
language = {eng},
number = {2},
pages = {531-539},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The structure of the unit group of the group algebra $\mathbb \{F\}_\{2^k\}A_4$},
url = {http://eudml.org/doc/196474},
volume = {61},
year = {2011},
}
TY - JOUR
AU - Gildea, Joe
TI - The structure of the unit group of the group algebra $\mathbb {F}_{2^k}A_4$
JO - Czechoslovak Mathematical Journal
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 61
IS - 2
SP - 531
EP - 539
AB - 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.
LA - eng
KW - group ring; group algebra; dihedral group; cyclic group; unit groups; group rings; group algebras; alternating group ; cyclic groups
UR - http://eudml.org/doc/196474
ER -
References
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Citations in EuDML Documents
top- Gaohua Tang, Yangjiang Wei, Yuanlin Li, Unit groups of group algebras of some small groups
- Gaurav Mittal, Rajendra Kumar Sharma, On unit group of finite semisimple group algebras of non-metabelian groups up to order 72
- Rajendra K. Sharma, Gaurav Mittal, On the unit group of a semisimple group algebra
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