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abelian group abelian subgroup ation ST canonical form characteristic commutative conjugate imaginary conjugate set contain an abelian divisible duplications due eaual ei?ht Finite Collineation G of variety group G group of variety group P invariant H.F.Plichfeldt Hence imprimitive inequality 11 Instructor intransitive l.Line largest subgroup leaves the sub linear functions LINEAR HOMOGENEOUS GROUPS Mathematical Society nuirber number of transformations number of variables odd prime order h pa?e permuted possible values prime number primitive group PRIMITIVE LINEAR HOMOGENEOUS prise proof of Theorem received the degree reduces roup satisfy this inequality sets of multipliers similarity transformation subgroup H subgroup in G subgroup of order subgroup of variety Theorem 3 suffices theorem is proved three variables transformation in G transformation of order transformation of variety transformation whose order transitive group true unit circle variety greater variety three Vern James written in canonical