Let G be a group of order 35. If G has two normal subgroup of order 5 & 7, show that G is cyclic. скачать в хорошем качестве

Let G be a group of order 35. If G has two normal subgroup of order 5 & 7, show that G is cyclic.

#mathatoz #abstractalgebra #group_theory Gmail: [email protected] Rajkishor Patra (M.Sc Jadavpur University)    / mathatozrkpatra   Please subscribe me🙏. You can also follow me only for jee mathematics @JeeMathsatoz-RPSir Let G be a group of order 35. If G has two normal subgroup of order 5 & 7, show that G is cyclic. M and N be normal Subgroup of a group G such that M intersection N ={e}, e being the identity. Prove that mn=nm.👇    • M and N be normal Subgroup of a group G su...   This video contains the proof of- Let H and K are subgroups of a finite group G such as |H| gt √|G| and |K| gt √|G| . |H meet K| ge 2.👇    • Let H and K are subgroups of a finite grou...   Symmetric group S_n contains half of even and half of odd permutation.👇    • In the symmetric group S_n, prove that the...   This video contains clear explanation that how to find centre of the group GL(2,R). link below 👇    • CENTRE OF THE GROUP GL(2,R)   This video contains the details solution of an important question from paper Abstract algebra of Calcutta University.    • Let H & K be two finite normal subgroup of...   The statement and proof of LAGRANGE THEOREM of group theory and explanation that Converse not true.link below 👇    • LAGRANGE THEOREM (GROUP THEORY)   The statement and proof of FERMAT'S LITTLE THEOREM with the help of group theory.link below 👇    • FERMAT'S THEOREM (GROUP THEORY)   Statement and proof of Euler's Theorem by using the concept of Group Theory. link below 👇    • EULER'S THEOREM OF GROUP THEORY   Let H & K be two finite normal subgroup of a group G such that G/H and G/K are commutative. If gcd(|H|,|K|)=1. Then G is also commutative.link below 👇    • Let H & K be two finite normal subgroup of...   This contains solution of two problem from Exercise of Higher Algebra by S K Mapa.link below 👇    • EXERCISE SOLVE (HIGHER ALGEBRA BY S.K.MAPA)   This contents the statement and proof of an important theorem of cyclic group. 3 problem solve from the exercise of Higher Algebra by S K Mapa.link below 👇    • CYCLIC GROUP AND IT'S THEOREMS WITH EXPLAN...   Three most important theory of cyclic group with its proof.link below 👇    • CYCLIC GROUP AND IT'S THEOREMS WITH EXPLAN...   Defination of cyclic group and it's important examples.Related Theory with proof (Part.1)link below 👇    • CYCLIC GROUP AND IT'S PROPERTIES WITH EXPL...   This video contains all about center of group, Normalizer of an element and cyclic subgroup of Group.link below 👇    • CENTER OF GROUP , NORMALIZER(CENTRALIZER) ...   This is the condition that HK become a subgroup and it's proof also number of elements of HK with proof.link below 👇    • HK is subgroup iff HK=KH  &  Value of O(HK)=?   Intersection of subgroup becomes a subgroup . The condition under which Union of two subgroup becomes a subgroup.link below 👇    • INTERSECTION OF SUBGROUPS IS A SUBGROUP BU...   Defination of subgroup and example. Related Theorem with proof.link below 👇    • SUBGROUP IT'S PROPERTIES AND THEOREM   Theorem related to order of elements of Group, Torsion Group, Torsion Free Group.link below 👇    • THEOREM RELATED TO ORDER OF ELEMENT OF GRO...   What is order of an element of a group and it example.Three important property of it.link below 👇    • ORDER OF ELEMENT OF GROUP AND IT'S PROPERTY   This video contains all the elements of Dihedral Group D3 in geometrical shapes, Composition table , Equivalece of D3 & S3.link below 👇    • DIHEDRAL GROUP D3 OR GROUP OF SYMMETRIES O...   This video contains all about Klein's 4 group and it's example.link below 👇    • KLEIN'S 4-GROUP   This video contains all about SYMMETRIC GROUP Sn and ALTERNATING GROUP An.link below 👇    • SYMMETRIC GROUP Sn AND ALTERNATING GROUP An   This video contains what is permutation group of 3 symbol. Alternating group of 3 symbol.A3 is a subgroup of S3 etc.link below 👇    • SYMMETRIC GROUP S3 AND ALTERNATING GROUP A3   This video contains the concept of integer modulo n under addition and multiplication modulo n.What is group of units modulo n.etc.link below 👇    • GROUP OF UNITS MODULO (Un •n)   This video contains all about PERMUTATION.This knowledge is very helpful for beginners and advanced studies of Group Theory.link below 👇    • PERMUTATION GROUP AND DETAILS CONCEPT OF P...   This video contains concept of Dihedral Group D4.Group of symmetry of square.link below 👇    • DIHEDRAL GROUP OR GROUP OF SYMMETRY OF SQU...   (What is composition table. Procedure of making composition table. It's importance in Group Theory and explanation)link below 👇    • GROUP THEORY (COMPOSITION TABLE/ OPERATION...   This video contains definition and example of group. This is the first lecture on Group Theory Series. link below 👇    • GROUP THEORY (DAFINATION & EXAMPLE)