A note on units in $\mathbb{F}_q SL(2, \mathbb{Z}_3)$
Анотація
УДК 512.5
Повідомлення про одиниці у $\mathbb{F}_q SL(2, \mathbb{Z}_3)$
Нехай $R$ - кільце, а $ SL(2,R)$ -спеціальна лінійна група
$(2\times 2)$-матриць над $R$ з детермінантом $1.$
Отримано декомпозицію Веддербурна для
$\dfrac{\mathbb{F}_q SL(2,\mathbb{Z}_3)}{J(\mathbb{F}_q SL(2,\mathbb{Z}_3))}$ і показано, що
$1+J(\mathbb{F}_q SL(2,\mathbb{Z}_3))$ є неабелевою групою, де $\mathbb{F}_q$ -скінченне поле з $q = p^k$ елементами та характеристикою $2$ або $3.$
Посилання
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