دراسة جديدة للتماثلات بين شبكات الزمر

Abstract EN

It is known that the lattice L(G) of all subgroups of a group G does not de¬termine the group, that is, If G,H are groups, then the implication L(G) = L (H) => G = H is not true in general.

The simplest example is given by the groups Z-2.

Z2• Therefore, researchers (M.Suzuki, P.

Palfy, S.

Breas and others) mentioned some conditions to get that the implication is true.

In our paper we mentioned new definitions and conditions and we have proved many theorems like 8.3, 9.3, 11.3, 13.3.