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On the number of homomorphisms from a finite group to a general linear group - MaRDI portal

On the number of homomorphisms from a finite group to a general linear group (Q1588401)

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scientific article; zbMATH DE number 1539385
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English
On the number of homomorphisms from a finite group to a general linear group
scientific article; zbMATH DE number 1539385

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    On the number of homomorphisms from a finite group to a general linear group (English)
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    28 April 2002
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    The authors compute the number of homomorphisms from a finite group \(G\) into a finite general linear group \(\text{GL}(n,q)\). The generating functions for these numbers lead to identities of Rogers-Ramanujan type.
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    Rogers-Ramanujan identity
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    numbers of homomorphisms
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    finite groups
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    finite general linear groups
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    generating functions
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