On a maximal subgroup of the Symplectic group Sp(4,4)
| Autor: | Ayoub Basheer |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | AUT Journal of Mathematics and Computing, Vol 4, Iss 1, Pp 17-26 (2023) |
| Druh dokumentu: | article |
| ISSN: | 2783-2449 2783-2287 |
| DOI: | 10.22060/ajmc.2022.21693.1099 |
| Popis: | This paper is dealing with a split extension group of the form 26 :(3× A5), which is the largest maximal subgroup of the Symplectic group Sp(4, 4). We refer to this extension by G. We firstly determine the conjugacy classes of G using the coset analysis technique. The structures of inertia factor groups were determined. We then compute the Fischer matrices of G and apply the Clifford-Fischer theory to calculate the ordinary character table of this group. The Fischer matrices of G are all integer valued, with sizes ranging from 1 to 4. The full character table of G is 26×26 complex valued matrix and is given at the end of this paper. |
| Databáze: | Directory of Open Access Journals |
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