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SUMMARY OF RESULTS
ALGEBRAS OF V AS ALGEBRAS OF lM FOR N n 19 n
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A-expansion automorphism group belongs characteristic multiplier circuits classes of homomorphisms columns conjugacy classes consecutive rows cyclic group d-fold expansion defining relations depth less diagram of depth element of G element of type elements of depth elements of order equivalence classes Fg(X finite index finite number finite orbit finite order finite rank finite set fixed follows form with respect free abelian free abelian group free algebra free basis fundamental set G n,r Graham Higman groups G+ H-space hence induction integers isomorphism left semi-infinite Lemma 6.l locally finite group mapping maximal characteristic n,r n,r nodes normal subgroup number of conjugacy orbit containing orbits of type pair proper characteristic element proper initial segment quasinormal form relation of depth right semi-infinite semi-infinite orbit seminormal form standard embedding standard form subalgebra subset Suppose symbol symmetric group THEOREM torsion-free type II reduction unary operations