THE FISCHER-CLIFFORD MATRICES OF THE INERTIA GROUP27: O6- (2) OF A MAXIMAL SUBGROUP 27: SP6(2) IN SP8(2)

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PRINS A.L.; FRAY R.L.

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Journal: INTERNATIONAL JOURNAL OF GROUP THEORY Year:2013 | Volume:2 | Issue:3 Page(s): 19-38

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Title

THE FISCHER-CLIFFORD MATRICES OF THE INERTIA GROUP27: O6- (2) OF A MAXIMAL SUBGROUP 27: SP6(2) IN SP8(2)

Author(s)

PRINS A.L. | FRAY R.L. | Issue Writer Certificate

Keywords

FISCHER-CLIFFORD MATRICES

INERTIA GROUP

SPLIT EXTENSION

CHARACTER TABLE

COSET ANALYSIS

Abstract

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)@27: Sp6(2) is the affine subgroup of the symplectic group Sp8(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 27:O6-(2) of A(4) of index 28.

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APA: Copy

PRINS, A.L., & FRAY, R.L.. (2013). THE FISCHER-CLIFFORD MATRICES OF THE INERTIA GROUP27: O₆^- (2) OF A MAXIMAL SUBGROUP 2⁷: SP₆(2) IN SP₈(2). INTERNATIONAL JOURNAL OF GROUP THEORY, 2(3), 19-38. SID. https://sid.ir/paper/593673/en

Vancouver: Copy

PRINS A.L., FRAY R.L.. THE FISCHER-CLIFFORD MATRICES OF THE INERTIA GROUP27: O₆^- (2) OF A MAXIMAL SUBGROUP 2⁷: SP₆(2) IN SP₈(2). INTERNATIONAL JOURNAL OF GROUP THEORY[Internet]. 2013;2(3):19-38. Available from: https://sid.ir/paper/593673/en

IEEE: Copy

A.L. PRINS, and R.L. FRAY, “THE FISCHER-CLIFFORD MATRICES OF THE INERTIA GROUP27: O₆^- (2) OF A MAXIMAL SUBGROUP 2⁷: SP₆(2) IN SP₈(2),” INTERNATIONAL JOURNAL OF GROUP THEORY, vol. 2, no. 3, pp. 19–38, 2013, [Online]. Available: https://sid.ir/paper/593673/en

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