Dimension of $J(F(GL_2(3)))$, where $J$ stands for Jacobson radical.
$begingroup$
I want to find dimension of $J(F(GL_2(3)))$, where $J$ stand for Jacobson radical, for the group algebra $F(GL_2(3))$ of general linear group of two by two matrices over the field $mathbb{Z}_3,$ and $F$ is any finite field of of characteristic $3.$ There are lots of results about dimension of Jacobson radical of group algebra in Karpilovsky book with title "Jacobson radical of group algebras." But i didn't find any way to find dimension of $J(F(GL_2(3)))$. By using GAP it’s dimension is equal to 20. But I don’t know is it . Please help me. Thanks.
radicals group-rings
asked Dec 14 '18 at 16:59
neelkanthneelkanth
2,15121028
$endgroup$
add a comment |
$begingroup$
I want to find dimension of $J(F(GL_2(3)))$, where $J$ stand for Jacobson radical, for the group algebra $F(GL_2(3))$ of general linear group of two by two matrices over the field $mathbb{Z}_3,$ and $F$ is any finite field of of characteristic $3.$ There are lots of results about dimension of Jacobson radical of group algebra in Karpilovsky book with title "Jacobson radical of group algebras." But i didn't find any way to find dimension of $J(F(GL_2(3)))$. By using GAP it’s dimension is equal to 20. But I don’t know is it . Please help me. Thanks.
radicals group-rings
asked Dec 14 '18 at 16:59
neelkanthneelkanth
2,15121028
$endgroup$
add a comment |
$begingroup$
I want to find dimension of $J(F(GL_2(3)))$, where $J$ stand for Jacobson radical, for the group algebra $F(GL_2(3))$ of general linear group of two by two matrices over the field $mathbb{Z}_3,$ and $F$ is any finite field of of characteristic $3.$ There are lots of results about dimension of Jacobson radical of group algebra in Karpilovsky book with title "Jacobson radical of group algebras." But i didn't find any way to find dimension of $J(F(GL_2(3)))$. By using GAP it’s dimension is equal to 20. But I don’t know is it . Please help me. Thanks.
radicals group-rings
asked Dec 14 '18 at 16:59
neelkanthneelkanth
2,15121028
$endgroup$
I want to find dimension of $J(F(GL_2(3)))$, where $J$ stand for Jacobson radical, for the group algebra $F(GL_2(3))$ of general linear group of two by two matrices over the field $mathbb{Z}_3,$ and $F$ is any finite field of of characteristic $3.$ There are lots of results about dimension of Jacobson radical of group algebra in Karpilovsky book with title "Jacobson radical of group algebras." But i didn't find any way to find dimension of $J(F(GL_2(3)))$. By using GAP it’s dimension is equal to 20. But I don’t know is it . Please help me. Thanks.
radicals group-rings
radicals group-rings
asked Dec 14 '18 at 16:59
neelkanthneelkanth
2,15121028
asked Dec 14 '18 at 16:59
neelkanthneelkanth
2,15121028
edited Dec 14 '18 at 17:29
neelkanth
asked Dec 14 '18 at 16:59
neelkanthneelkanth
2,15121028
asked Dec 14 '18 at 16:59
neelkanthneelkanth
2,15121028
asked Dec 14 '18 at 16:59
neelkanthneelkanth
2,15121028
2,15121028
add a comment |
add a comment |
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