Group Theory lec#28 coset definition | cosets theorem examples #mathematics #ppsc #maths #afmathe

Welcome to Mathematics with Aqsa Fatima
In this video we will learn
1) cosets and double cosets full detail
2) cosets theorem
3) coset definition
4) properties of cosets
5) properties of cosets proof
6) fermat's little theorem
7) closets examples
8)golden results of group theory
9) group theory discrete mathematics
10)Group theory full course

Here you can find all topics of group theory :
Introduction to Algebra linear abstract algebra cayley table residue class unit modulo n nth roots of unity properties of group Order of group and order of element Order subgroup Three step subgroup testTwo step subgroup test One step subgroup test finite subgroup test Results on subgroup Abelian group theorem cyclic group cyclic subgroup how to find order of an element number of elements of each order in a cyclic Generator of finite and infinite cyclic group euler function number of generators of finite cyclic Under what condition U(n) is cyclic group theorems about cyclic group cosets coset define lagrange's homomorphism examples isomorphism number of non isomorphic group non isomorphic groupHomomorphism monomorphism epimorphism isomorphism endomorphism Automorphism Inner Automorphism examples center of a group Examples on Center centralizer Normalizer Normal subgroup theorem conjugacy class factor group commutator group metabelian perfect moderate solvable group characteristic group Cauchy Sylow 1st Sylow 2nd result sylow 3rd theorem sylow's theorems permutation Product of permutation symmetric group circular permutation circular permutation properties transposition even and odd permutation Alternating group Integral power of permutation Inversion cayley's theorem Permutation theorem results properties with full detail and explanation basic concepts short mcqs tricks
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Ppsc fpsc subject specialist nts ms bs bsc in urdu Hindi as well as it jam csirnet net jee TIFF DU HCU cpo CDs cat railway GS cgl ssc ibps CSE Mt baap foundation target pf delhi police SSC GD CGL constable gk upsc online melitery mkr syllabus upp pptcsir csirnet ctet reet MIT oxforduniversity series new ncert kota iitjamotivationn paws school college master interview level inter ics ctet kvs oxford iba gcse gate icsi gpsc cbsc etc
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Objective of this channel
My lectures goals are to bilt your confidence in book reading and self study I am trying my best and teach you in very simple easy effective and understanding way
You will learn here all type of concepts basics logics theorems theory research papers interview preparation and ask any question related to it I will try to answers your all questions
And I will provide you all type of objective questions you can search it in playlists for competitive exams or any university quiz mid or final online exams
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[AliJanMath]

In the 2nd result. H must be a "Subgroup". e.g. if we take {i, -i} which is not subgroup but is a subset of G. Then i{i, -i}={-1, 1} is not equal to H.