A4 has no subgroup of order 6|Converse of lagrange's theorem is not true|Permutation group|Part 20 скачать в хорошем качестве

A4 has no subgroup of order 6|Converse of lagrange's theorem is not true|Permutation group|Part 20

In this lecture we are going that converse of lagrange's theorem is not true with the help of example. For this we will first define what is lagrange's theorem and then understand its converse part. After that we will prove that A4 has no subgroup of order 6. Link for lecture on number of subgroups of A4:    • Total number of subgroups of A4|Permutatio...   Link for lecture on number of subgroups of S4:    • Total number of subgroups of S4|Permutatio...   Link for lecture on K4 group:    • Group Theory| Lecture 59| Klein 4 group|Ex...   Link for lecture on Zm group    • Group Theory| Lecture 28| Set of residue c...   Link for lecture on alternating group A4    • Alternating group A4|Permutation group|Par...   Link for lecture on symmetric group S4:    • Symmetric group S4|Permutation group|Part ...   Link for lecture on total number of subgroups of S3    • Total number of subgroups of S3|Lagrange t...   Link for lecture on symmetric group S3 and alternating group A3:    • Symmetric group S3| Alternating group A3|P...   Link for lecture on finding number of permutation of particular type    • Number of permutation of particular type|L...   Link for lecture on cyclic decomposition    • Cycle decomposition of a permutation|Lectu...   Link for lecture on alternating group    • Alternating group (An)|Proof|Lecture 70|Pe...   Link for lecture on half even and half odd permutations in permutation group:    • In Sn exactly half are even and half are o...   Lecture on properties of even and odd permutations:    • Permutation group |Part 8 |Properties of e...   Lecture on even and odd permutation:    • Permutation group|Part 7|Even and Odd Perm...   Link for lecture on finding inverse of permutation:    • Permutation group|Part 6|Inverse of cyclic...   Link for lecture on product of cyclic permutation:    • Permutation group|Part 5|Cyclic Permutatio...   Link for lecture on cyclic permutation:    • Permutation group|Part 4|Cyclic Permutatio...   Link for lecture on what is permutation:    • Permutation group|Part 1|Definition of per...   Link for lecture on how to do product of two permutation:    • Permutation group|Part 2|Product of permut...   Link for lecture on proof of permutation group    • Permutation group|Part 3|Identity permutat...   Link for lecture on how to find order of permutation:    • Order of permutation element |Lecture 71|P...   Link for lecture on how to express permutation as a product of disjoint cycles    • Permutation group|Part 6|Inverse of cyclic...   Keep connected with @thetaclasses to study various topics of higher mathematics. Thank You.