【题目】证明:PSL2(Z3)是一个12阶的非单群 答案 【解析】证明由第21题知|SL2(Z3)=(32-1)(32-3)/(3-1)=24.而群SL2(Z3的中心C等于{a2=1}={B-于是|C|=2,故P()-1()C--12因此PSL2(Z3)是一个12阶的群.又因为12阶群都是非单群,所以结论成立相关...
In this paper, we report the computation and tabulation, using MAGMA, of all congruence subgroups of PSL(2, Z) of genus less than or equal to 24. We include full tables of the congruence groups of genus 0, 1, 2, and 3 and a summary of the remaining cases.关键...
2 (Z) MELINDAG.MORANANDMATTHEWJ.THIBAULT Abstract.Weclassifyuptoequivalenceallfinite-dimensionalirreduciblerep- resentationsofPSL 2 (Z)whoserestrictiontothecommutatorsubgroupisdi- agonalizable. 1.Introduction Inthispaper,westudyfinite-dimensionalrepresentationsoftheprojectivemod- ulargroupPSL 2 (Z).Adri...
In this paper we characterize the elements of PSL(2,Z), as a subgroup of Thompson group T, in the language of reduced tree pair diagrams and in terms of piecewise linear maps as well. Actually, we construct the reduced tree pair diagram for every element
Each conjugacy class of actions of PGL(2,Z) on the projective line over a finite field Fq denoted by PL(Fq), can be represented by a coset diagram D(θ,q), where θ∈Fq and q is a prime power. The coset diagrams are composed of fragments, and the fragments are further composed of...
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On ambiguous numbers of an invariant subset $ Q^{*} \\\left(\\\sqrt {k^2m}\\\,ight)$ of $Q\\\left(\\\sqrt m\\\,ight)$ under the action of the modular group ${m PSL}\\\, (2,Z)$ 来自 ResearchGate 喜欢 0 阅读量: 9 收藏 报错 分享 全部来源 求助...
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