On a group of the form 214:Sp(6,2)
| Autor: | Basheer, Ayoub B.M., Seretlo, Thekiso T. |
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| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Quaestiones Mathematicae; Vol 39, No 1 (2016); 45-57 |
| ISSN: | 1607-3606 1727-933X |
| Popis: | The symplectic group Sp(6,2) has a 14-dimensional absolutely irreducible module over F2: Hence a split extension group of the form G = 214:Sp(6,2) does exist. In this paper we first determine the conjugacy classes of G using the coset analysis technique. The structures of inertia factor groups were determined. The inertia factor groups are Sp(6,2); (21+4 x 22):(S3 x S3); S3 x S6; PSL(2,8); (((22 x Q8):3):2):2, S3 x A5; and 2 x S4 x S3: We then determine the Fischer matrices and apply the Clifford-Fischer theory to compute the ordinary character table of G: The Fischer matrices of G are all integer valued, with size ranging from 4 to 16. The full character table of G is a 186 x 186 complex valued matrix.Keywords: Group extensions, Clifford theory, inertia groups, Fischer matrices, character table |
| Databáze: | OpenAIRE |
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