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Is there such a table where the irreducible integral representations of finite cyclic groups are listed?

Edited:

Thanks for Todd Leason's comment.Acutally,i want to know all inequivalent indecomposable integral representations of cyclic groups. I think this is related to determining conjugacy classes of finite cyclic subgroups of $GL(n,Z)$finite cyclic subgroups of $GL(n,Z)$. I want to know such subgroups of $GL(n,Z)$ explicitely.Is there such a list?

For example,cyclic subgroups of $GL(3,Z)$ are determined explicitely in:

ON THE FINITE SUBGROUPS OF GL (3, Z)

Is there such a table where the irreducible integral representations of finite cyclic groups are listed?

Edited:

Thanks for Todd Leason's comment.Acutally,i want to know all inequivalent indecomposable integral representations of cyclic groups. I think this is related to determining conjugacy classes of finite cyclic subgroups of $GL(n,Z)$. I want to know such subgroups of $GL(n,Z)$ explicitely.Is there such a list?

For example,cyclic subgroups of $GL(3,Z)$ are determined explicitely in:

ON THE FINITE SUBGROUPS OF GL (3, Z)

Is there such a table where the irreducible integral representations of finite cyclic groups are listed?

Edited:

Thanks for Todd Leason's comment.Acutally,i want to know all inequivalent indecomposable integral representations of cyclic groups. I think this is related to determining conjugacy classes of finite cyclic subgroups of $GL(n,Z)$. I want to know such subgroups of $GL(n,Z)$ explicitely.Is there such a list?

For example,cyclic subgroups of $GL(3,Z)$ are determined explicitely in:

ON THE FINITE SUBGROUPS OF GL (3, Z)

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user2015
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user2015
  • 593
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  • 15

Is there such a table where the irreducible integral representations of finite cyclic groups are listed?

Edited:

Thanks for Todd Leason's comment.Acutally,i want to know all inequivalent indecomposable integral representations of cyclic groups. I think this is related to determining conjugacy classes of finite cyclic subgroups of $GL(n,Z)$. I want to know such subgroups of $GL(n,Z)$ explicitely.Is there such a list?

For example,cyclic subgroups of $GL(3,Z)$ are determined explicitely in:

ON THE FINITE SUBGROUPS OF GL (3, Z)

Is there such a table where the irreducible integral representations of finite cyclic groups are listed?

Edited:

Thanks for Todd Leason's comment.Acutally,i want to know all inequivalent indecomposable integral representations of cyclic groups. I think this is related to determining conjugacy classes of finite subgroups of $GL(n,Z)$. I want to know such subgroups of $GL(n,Z)$ explicitely.Is there such a list?

For example,cyclic subgroups of $GL(3,Z)$ are determined explicitely in:

ON THE FINITE SUBGROUPS OF GL (3, Z)

Is there such a table where the irreducible integral representations of finite cyclic groups are listed?

Edited:

Thanks for Todd Leason's comment.Acutally,i want to know all inequivalent indecomposable integral representations of cyclic groups. I think this is related to determining conjugacy classes of finite cyclic subgroups of $GL(n,Z)$. I want to know such subgroups of $GL(n,Z)$ explicitely.Is there such a list?

For example,cyclic subgroups of $GL(3,Z)$ are determined explicitely in:

ON THE FINITE SUBGROUPS OF GL (3, Z)

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user2015
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  • 3
  • 15
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