Where SL(Z) is the special linear group over the field Z (a) Determine all the elements in thestabiliser of z =-1 + V-3under the2action of SL,(Z) on the upper half planea bH, given byq + 20с аcz + d

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Answered: (a) Determine all the elements in the…

(a) Determine all the elements in the -1 + V-3 stabiliser of z = under the 2 action of SL,(Z) on the upper half plane a H, given by q + 20 с d cz + d

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.9: Properties Of Determinants

Problem 44E

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Question

Where SL(Z) is the special linear group over the field Z

(a) Determine all the elements in the
stabiliser of z =
-1 + V-3
under the
2
action of SL,(Z) on the upper half plane
a b
H, given by
q + 20
с а
cz + d

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