Abstract
In this paper we examine some properties of suborbital graphs for the group SL*(3,Z). We first introduce an invariant equivalence relation by using the congruence subgroup SL*(3,Z) instead of ?0(n) and obtain some results for the newly constructed subgraphs Fu,n whose vertices form the block [?]. We obtain edge and circuit conditions and some relations between lengths of circuits in Fu,n and elliptic elements of ?0(n).
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