Group of units of finite group algebras of groups of order 24

M.  Sahai; S. F.  Ansari

doi:10.37863/umzh.v75i2.6680

M. Sahai University of Lucknow, India
S. F. Ansari University of Lucknow, India

DOI: https://doi.org/10.37863/umzh.v75i2.6680

Анотація

УДК 512.5

Група одиниць скінченногрупових алгебр груп 24-го порядку

Нехай $F$ –скінченне поле характеристики $p.$ Структури груп одиниць групових алгебр над $F$ для трьох груп $D_{24},$ $S_4$ та $SL(2, \mathbb{ Z}_3)$ 24-го порядку повністю описано в багатьох роботах. Ми наводимо групи одиниць групових алгебр над $F$ для решти груп 24-порядку, а саме $C_{24},$ $C_{12} \times C_2,$ $C_2^3 \times раз C_3,$ $C_3 \rtimes C_8,$ $C_3 \rtimes Q_8,$ $D_6 \times C_4,$ $C_6 \rtimes C_4,$ $C_3 \rtimes D_8,$ $C_3 \times D_8,$ $C_3 \times Q_8,$ $A_4 \times C_2$ та $D_{12} \times C_2.$

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