English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Let $C_n$, $Q_n$ and $D_n$ be the cyclic group, the quaternion group and thedihedral group of order $n$, respectively. The structures of the unit groups ofthe finite group algebras $FQ_{12}$ and $F(C_2 \times Q_{12})$ over a finitefield $F$ have been studied in J. Gildea, F. Monaghan (2011), F. Monaghan(2012), G. Tang, Y. Gao (2011) and G. Tang, Y. Wei, Y. Li (2014) whereas thestructures of the unit groups of the finite group algebras $FD_{12}$ and $F(C_2\times D_{12})$ have been studied in J. Gildea, F. Monaghan (2011), N.Makhijani, R. K. Sharma, J. B. Srivastava (2016), F. Monaghan (2012), M. Sahai,S. F. Ansari and G. Tang, Y. Gao (2011). In this paper, we continue this studyand establish the structures of the unit groups of the group algebras $F(C_n\times Q_{12})$ and $F(C_n \times D_{12})$, over a finite field $F$ ofcharacteristic $p$ containing $p^k$ elements.

Units in $F(C_n \times Q_{12})$ and $F(C_n \times D_{12})$