A group G is nilpotent iff Zn(G)={e}.
Before learning this theorem, One must cover a video lecture in which we have studied about -
(01) Upper Central Series
(02) Lower Central Series
(03) Nilpotent Group
• Upper Central Series, ...
More video Lectures For M.Sc (Mathematics) ~ Modern Abstract Algebra
(1) First Law of Isomorphism/Fundamental Theorem on Homomorphis
• First Law Of Isomorphi...
(2) Second Law of Isomorphism
• Second Law of Isomorph...
(3) Jordan Holder Theorem
• Jordan Holder Theorem ...
(4) Solvable Group and Solvable series and their conditions
• Definition of Solvable...
(5) Every subgroup of a solvable group is solvable
• Every subgroup of a so...
Негізгі бет A group G is nilpotent iff ZnG={e} || Nilpotent Group || Abstract Algebra || M.Sc Maths Sem 1 ||
Пікірлер: 7