Next video is coming on the topic:: Let (G,o) be a semigroup and for any two elements a,b in G , each of the equation aox=b and yoa=b has a solution in G. Then (G,o) is a group.
Next video is coming on the topic:: Quotient Group: Let H be a normal subgroup of a group G. Then the set of all distinct cosets of H in G forms a group with respect to the binary operation * defined by, aH*bH=abH ; for all a,bโG . Stay stunned ๐ณ
Next video is coming on the topic:: Let H be a subgroup of G. Then H is normal in G iff for hโH and xโG โ xhxโปยนโH . Stay stunned ๐๐๐
Biswajit Biswas
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Let (G,o) be a semigroup containing a finite number of elements in which both the cancellation laws hold.Then (G,o) is a group.
9 months ago (edited) | [YT] | 1
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Biswajit Biswas
Let G be a group and H be a normal sub-group of G and g be an element of G such that order of g is 55. Then the possible order of gH in G/H is :
9 months ago | [YT] | 2
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Biswajit Biswas
Next video is coming on the topic::
Let (G,o) be a semigroup and for any two elements a,b in G , each of the equation aox=b and yoa=b has a solution in G. Then (G,o) is a group.
9 months ago (edited) | [YT] | 4
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Biswajit Biswas
Next video topic ::
If G be a finite group and H be a normal sub-group of G , then order of an element gH in G/H is a divisor of the order of g in G.
9 months ago | [YT] | 3
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Biswajit Biswas
Next video topic:
If G be a noncommutative group with center Z , then the quotient group G/Z is noncyclic.
9 months ago (edited) | [YT] | 3
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Biswajit Biswas
Next video is coming on the topic::
Centraliser of an element 'a' of a group G , C(a) is a subgroup of the group G.
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10 months ago (edited) | [YT] | 4
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Biswajit Biswas
Next video is coming on the topic ::
Centre of a group G , Z(G) - is a subgroup of the group G .
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10 months ago (edited) | [YT] | 3
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Biswajit Biswas
Next video is coming on the topic ::
If H be a subgroup of a cyclic group G , then the quotient group G/H is cyclic.
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10 months ago | [YT] | 4
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Biswajit Biswas
Next video is coming on the topic::
Quotient Group: Let H be a normal subgroup of a group G. Then the set of all distinct cosets of H in G forms a group with respect to the binary operation * defined by, aH*bH=abH ; for all a,bโG .
Stay stunned ๐ณ
1 year ago | [YT] | 4
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Biswajit Biswas
Next video is coming on the topic::
Let H be a subgroup of G. Then H is normal in G iff for hโH and xโG โ xhxโปยนโH .
Stay stunned ๐๐๐
1 year ago | [YT] | 2
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