A A note on the Jacobson radical $J(\mathbb F_{2^n}D_{2m})$

Yogesh Kumar; R. K. Sharma

doi:10.3842/umzh.v76i8.7623

Yogesh Kumar Department of Mathematics, Indian Institute of Technology Delhi, India
R. K. Sharma Department of Mathematics, Indian Institute of Technology Delhi, India

DOI: https://doi.org/10.3842/umzh.v76i8.7623

Анотація

УДК 512.5

Примітка щодо радикала Джекобсона $J(\mathbb F_{2^n}D_{2m})$

Визначено розмірність радикала Джекобсона $J(\mathbb F_{2^n}D_{2m})$ та алгебраїчну структуру $\dfrac{\mathbb F_{2^n}D_{2^k3}}{J( \mathbb F_{2^n}D_{2^k3})}.$ Тут $D_{2m}$ – діедрична група порядку $2m$, $\mathbb F_{2^n}$ – будь-яке скінченне поле з характеристикою $2$, а $F_{2^n}D_{2m} $ – групова алгебра групи $D_{2m}$ над полем $\mathbb F_{2^n}.$

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