QUASI-PERMUTATION REPRESENTATIONS OF THE GROUPS SL(3,Q) AND PSL(3,Q)

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DARAFSHEH M.R.; GHORBANY M.

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Journal Paper

Paper Information

Journal: IRANIAN JOURNAL OF SCIENCE Year:2002 | Volume:26 | Issue:A1 Page(s): 0-0

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Title

QUASI-PERMUTATION REPRESENTATIONS OF THE GROUPS SL(3,Q) AND PSL(3,Q)

Author(s)

DARAFSHEH M.R. | GHORBANY M.

Keywords

GENERAL LINEAR GROUP

QUASI-PERMUTATION

Abstract

If F is a subfield of C, then a square matrix over F with non-negative integral trace is called a quasi-permutation matrix over F. For a finite group G, let p(G) denote the minimal degree of a faithful permutation representation of G and let q(G) and c(G) denote the minimal degree of a faithful representation of G by quasi-permutation matrices over the rationals and the complex numbers, respectively. Finally r(G) denotes the minimal degree of a faithful rational valued complex character of G. In this paper, p(G), q(G), c(G) and r(G) are calculated for the groups SL(3,q) and PSL (3,q).

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APA: Copy

DARAFSHEH, M.R., & GHORBANY, M.. (2002). QUASI-PERMUTATION REPRESENTATIONS OF THE GROUPS SL(3,Q) AND PSL(3,Q). IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE, 26(A1), 0-0. SID. https://sid.ir/paper/529978/en

Vancouver: Copy

DARAFSHEH M.R., GHORBANY M.. QUASI-PERMUTATION REPRESENTATIONS OF THE GROUPS SL(3,Q) AND PSL(3,Q). IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE[Internet]. 2002;26(A1):0-0. Available from: https://sid.ir/paper/529978/en

IEEE: Copy

M.R. DARAFSHEH, and M. GHORBANY, “QUASI-PERMUTATION REPRESENTATIONS OF THE GROUPS SL(3,Q) AND PSL(3,Q),” IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE, vol. 26, no. A1, pp. 0–0, 2002, [Online]. Available: https://sid.ir/paper/529978/en

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