We prove that every solvable group can be embedded as a subgroup into an absolutely solvable group. However, we construct solvable groups that cannot be embedded as subnormal subgroups into absolutely solvable groups.
机构:
I Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, 6 Tamarashvili St, Tbilisi 0177, GeorgiaI Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, 6 Tamarashvili St, Tbilisi 0177, Georgia
机构:
I Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, 2 Merab Kostava 2 Lane, Tbilisi 0193, GeorgiaI Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, 2 Merab Kostava 2 Lane, Tbilisi 0193, Georgia