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In this video
we Will learn to proof that a group of order 15 is Cyclic.
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#Groupoforder15iscyclic
open set
• Open sets
supremum and infimum
• Supremum and infimum r...
upper bound and lower bound
• Upper bound and lower ...
Group definition • Definition of a group ...
Cyclic group
• Group theory part 6-Cy...
Subgroups
• Group theory part 3-Su...
One step subgroup test
• Group theory part 4-on...
Two step subgroup test
• Group theory part 5-Tw...
Order of a group and order of an element
• Group theory part 2-Or...
Permutation Group
• Permutation Groups || ...
Function domain and Range
• Function domain and r...
concept of 1-1 onto and bijective mapping
• one one onto function
Difference between Range and codomain
• Difference between Ran...
Relation function domain codomain range and image
• Relation: Image, Range...
HOMOMORPHISM
• Group theory part 8-Gr...
Isomorphism
• Group theory part 9-Gr...
normal subgroups
• Normal Subgroups
first theorem of homomorphism
• Group theory part 11- ...
cosets
• Group theory part 12-C...
Quotient groups
• Group theory part 13- ...
sylow p subgroup
• Sylow P subgroup
sylow theorems
• Group theory part 14- ...
group of order 56 is not simple
• Group of order 56 is n...
direct Product of groups
• Direct Product of groups
Ring theory Abstract Algebra
• Ring theory Abstract A...
examples of rings
• Ring examples Abstract...
units in ring theory
• Units in ring theory
associate in ring theory
• Associates in ring theory
division rings
• Division ring
ring with zero divisors
• Ring with zero divisors
integral domain
• Integral domain Abstra...
kernel of homomorphism
• kernel of homomorphism...
prime and maximal ideals
• Prime and maximal ideals
prime and irreducible element
• Prime and irreducible ...
cartesian Product of two Sets
• Cartesian Product of t...
partition of a set
• Partition of a set| Pa...
relations mathematics
• Relations Mathematics|...
equivalence classes
• Equivalence classes|| ...
construction of zn
• Zn group theory || Gro...
euler's phi function
• Euler's phi function| ... 7
zn is a group under addition modulo n
• Zn is a group under ad...
Quotient set in group theory
• Quotient set in group ...
zn is Cyclic
• Zn is Cyclic?
zn is a ring
• Zn is a ring proof
internal direct Product
• Internal Direct Product
every group of prime order is Cyclic
• Every group of prime o...
every Cyclic group is abelian
• Every Cyclic group is ...
group of order p2 is abelian
• A group of order p^2 i...
group of order pq is Cyclic
• Group of order pq is C...
Негізгі бет Group of order 15 is Cyclic
Пікірлер: 43