We study the number of homomorphisms from a finite group to a general linear group over a finite field. In particular, we give a generating function of such numbers. Then the Rogers-Ramanujan identities are applicable.
A Generating Function for the Number of Homomorphisms from a Finitely Generated Abelian Group to an Alternating Group
β Scribed by Yugen Takegahara
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 151 KB
- Volume
- 248
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
Let Β΅ I denote the minimal number of generators of an ideal I of a local ring R M . The Dilworth number d R = max Β΅ I I an ideal of R and Sperner number sp R = max Β΅ M i i β₯ 0 are determined in the case that R = A G , where G = Z/pZ k is an elementary abelian p-group, A zA is a principal local ring
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