IRJET - Triple Factorization of Non-Abelian Groups by Two Minimal Subgroups
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This document presents research on the triple factorization of non-abelian groups by two minimal subgroups. It begins with an abstract discussing the triple factorization of a group G as G = ABA, where A and B are proper subgroups of G. It then studies the triple factorizations of two classes of non-abelian finite groups: the dihedral groups D2n and the projective special linear groups PSL(2,2n). Several lemmas and a main theorem are presented regarding the triple factorizations and related rank-two coset geometries of these groups. In particular, the theorem discusses conditions for the existence of non-degenerate triple factorizations of D2n and properties of the associated rank-two coset
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IRJET - Triple Factorization of Non-Abelian Groups by Two Minimal Subgroups