Some Results on the Linear Groups |
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25 elements assume belongs calculate chapter choices classes compute congruence subgroup conjugate consider contradicting proposition 1.1 cyclic defined denote describes all values determinant divides elements of order equal example exists F₁ fact field Finally fixed function fundamental domain Further genus Gierster pages given gives group of order H contains H has order H is conjugate H^K² H₁ Hence ideal identity implies induction integer Klingenberg Lemma linear matrix normal subgroup notation Note obtain order 12 order 36 particular positive possibilities Proof proposition 1.5 residue mod respectively ring Sp(L subfield of K(27 subgroup of H subgroup of Sp(R subgroups H subgroups of order Suppose F Sylow tables Theorem thesis transformations unit values mod 9 yield zero