TY - JOUR AU - M. Sahai AU - S. F. Ansari PY - 2023/03/02 Y2 - 2024/03/29 TI - Group of units of finite group algebras of groups of order 24 JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 75 IS - 2 SE - Research articles DO - 10.37863/umzh.v75i2.6680 UR - https://umj.imath.kiev.ua/index.php/umj/article/view/6680 AB - UDC 512.5Let $F$ be a finite field of characteristic $p.$  The structures of the unit groups of group algebras over $F$ of the three groups $D_{24},$ $S_4$ and $SL(2, \mathbb{Z}_3)$ of order $24$  are completely described in numerous works.   We present the unit groups of the group algebras over $F$ for the remaining groups of order $24,$ namely, $C_{24},$ $C_{12} \times C_2,$ $C_2^3 \times C_3,$  $C_3 \rtimes C_8,$  $C_3 \rtimes Q_8,$ $D_6 \times C_4,$ $C_6 \rtimes C_4,$  $C_3 \rtimes D_8,$ $C_3 \times D_8,$  $C_3 \times Q_8,$   $A_4 \times C_2,$ and $D_{12} \times C_2.$ ER -