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Volume 30, Issue 4
On the Structure of the Units of Group Algebra of Dihedral Group

Jizhu Nan & Shuang Zhang

Commun. Math. Res., 30 (2014), pp. 307-319.

Published online: 2021-05

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  • Abstract

In this paper, we completely determine the structure of the unit group of the group algebra of some dihedral groups $D_{2n}$ over the finite field $F_{p^k}$ , where $p$ is a prime.

  • Keywords

group algebra, unit group, dihedral group.

  • AMS Subject Headings

22D20, 20F05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-30-307, author = {Jizhu and Nan and and 18868 and and Jizhu Nan and Shuang and Zhang and and 18869 and and Shuang Zhang}, title = {On the Structure of the Units of Group Algebra of Dihedral Group}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {30}, number = {4}, pages = {307--319}, abstract = {

In this paper, we completely determine the structure of the unit group of the group algebra of some dihedral groups $D_{2n}$ over the finite field $F_{p^k}$ , where $p$ is a prime.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2014.04.04}, url = {http://global-sci.org/intro/article_detail/cmr/18952.html} }
TY - JOUR T1 - On the Structure of the Units of Group Algebra of Dihedral Group AU - Nan , Jizhu AU - Zhang , Shuang JO - Communications in Mathematical Research VL - 4 SP - 307 EP - 319 PY - 2021 DA - 2021/05 SN - 30 DO - http://doi.org/10.13447/j.1674-5647.2014.04.04 UR - https://global-sci.org/intro/article_detail/cmr/18952.html KW - group algebra, unit group, dihedral group. AB -

In this paper, we completely determine the structure of the unit group of the group algebra of some dihedral groups $D_{2n}$ over the finite field $F_{p^k}$ , where $p$ is a prime.

Jizhu Nan & Shuang Zhang. (2021). On the Structure of the Units of Group Algebra of Dihedral Group. Communications in Mathematical Research . 30 (4). 307-319. doi:10.13447/j.1674-5647.2014.04.04
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