The structure of the unit group of the group algebra

Joe Gildea

Czechoslovak Mathematical Journal (2011)

  • Volume: 61, Issue: 2, page 531-539
  • ISSN: 0011-4642

Abstract

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The structure of the unit group of the group algebra of the group over any finite field of characteristic 2 is established in terms of split extensions of cyclic groups.

How to cite

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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 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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  9. Milies, C. Polcino, Sehgal, S. K., An Introduction to Group Rings, Kluwer Academic Publishers Dordrecht (2002). (2002) MR1896125
  10. Sandling, R., 10.1016/0022-4049(84)90066-5, J. Pure Appl. Algebra 33 (1984), 337-346. (1984) Zbl0543.20008MR0761637DOI10.1016/0022-4049(84)90066-5
  11. Sandling, R., Presentations for units groups of modular group algebras of groups of order 16, Math. Comp. 59 (1992), 689-701. (1992) MR1136226
  12. Sharma, R. K., Srivastava, J. B., Khan, M., The unit group of , Publ. Math. Debrecen 71 (2007), 21-26. (2007) Zbl1135.16033MR2340031

Citations in EuDML Documents

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  1. Gaohua Tang, Yangjiang Wei, Yuanlin Li, Unit groups of group algebras of some small groups
  2. Gaurav Mittal, Rajendra Kumar Sharma, On unit group of finite semisimple group algebras of non-metabelian groups up to order 72
  3. Rajendra K. Sharma, Gaurav Mittal, On the unit group of a semisimple group algebra
  4. Navamanirajan Abhilash, Elumalai Nandakumar, Rajendra K. Sharma, Gaurav Mittal, Structure of the unit group of the group algebras of non-metabelian groups of order 128

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