The Fischer-Clifford matrices of the inertia group 2^7:O-(6,2) of a maximal subgroup 2^7:SP(6,2) in SP(8,2)
The subgroups of symplectic groups which fix a non-zero vector of the underlying symplectic space are called affine subgroups. The split extension group A(4) = 2^7:SP(6,2) is the affine subgroup of the symplectic group SP(8,2) of index 255. In this paper, we use the technique of the Fischer-Clifford...
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| Format: | Article |
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University of Isfahan
2013-09-01
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| Series: | International Journal of Group Theory |
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| Online Access: | http://www.theoryofgroups.ir/?_action=showPDF&article=2049&_ob=7354cfb13c7d59221a89e0a3fa22f5a4&fileName=full_text.pdf. |
| _version_ | 1811269571311566848 |
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| author | Richard Llewellyn Fray Abraham Love Prins |
| author_facet | Richard Llewellyn Fray Abraham Love Prins |
| author_sort | Richard Llewellyn Fray |
| collection | DOAJ |
| description | The subgroups of symplectic groups which fix a non-zero vector of the underlying symplectic space are called affine subgroups. The split extension group A(4) = 2^7:SP(6,2) is the affine subgroup of the symplectic group SP(8,2) of index 255. In this paper, we use the technique of the Fischer-Clifford matrices to construct the character table of the inertia group 2^7:O-(6 ,2) of A(4) of index 28. |
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| format | Article |
| id | doaj.art-5e372341fa7f42a3bf9718bbc9945fa5 |
| institution | Directory Open Access Journal |
| issn | 2251-7650 2251-7669 |
| language | English |
| last_indexed | 2024-04-12T21:44:24Z |
| publishDate | 2013-09-01 |
| publisher | University of Isfahan |
| record_format | Article |
| series | International Journal of Group Theory |
| spelling | doaj.art-5e372341fa7f42a3bf9718bbc9945fa52022-12-22T03:15:41ZengUniversity of IsfahanInternational Journal of Group Theory2251-76502251-76692013-09-01231938The Fischer-Clifford matrices of the inertia group 2^7:O-(6,2) of a maximal subgroup 2^7:SP(6,2) in SP(8,2)Richard Llewellyn FrayAbraham Love PrinsThe subgroups of symplectic groups which fix a non-zero vector of the underlying symplectic space are called affine subgroups. The split extension group A(4) = 2^7:SP(6,2) is the affine subgroup of the symplectic group SP(8,2) of index 255. In this paper, we use the technique of the Fischer-Clifford matrices to construct the character table of the inertia group 2^7:O-(6 ,2) of A(4) of index 28.http://www.theoryofgroups.ir/?_action=showPDF&article=2049&_ob=7354cfb13c7d59221a89e0a3fa22f5a4&fileName=full_text.pdf.split extensioncoset analysisFischer matrices |
| spellingShingle | Richard Llewellyn Fray Abraham Love Prins The Fischer-Clifford matrices of the inertia group 2^7:O-(6,2) of a maximal subgroup 2^7:SP(6,2) in SP(8,2) International Journal of Group Theory split extension coset analysis Fischer matrices |
| title | The Fischer-Clifford matrices of the inertia group 2^7:O-(6,2) of a maximal subgroup 2^7:SP(6,2) in SP(8,2) |
| title_full | The Fischer-Clifford matrices of the inertia group 2^7:O-(6,2) of a maximal subgroup 2^7:SP(6,2) in SP(8,2) |
| title_fullStr | The Fischer-Clifford matrices of the inertia group 2^7:O-(6,2) of a maximal subgroup 2^7:SP(6,2) in SP(8,2) |
| title_full_unstemmed | The Fischer-Clifford matrices of the inertia group 2^7:O-(6,2) of a maximal subgroup 2^7:SP(6,2) in SP(8,2) |
| title_short | The Fischer-Clifford matrices of the inertia group 2^7:O-(6,2) of a maximal subgroup 2^7:SP(6,2) in SP(8,2) |
| title_sort | fischer clifford matrices of the inertia group 2 7 o 6 2 of a maximal subgroup 2 7 sp 6 2 in sp 8 2 |
| topic | split extension coset analysis Fischer matrices |
| url | http://www.theoryofgroups.ir/?_action=showPDF&article=2049&_ob=7354cfb13c7d59221a89e0a3fa22f5a4&fileName=full_text.pdf. |
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