Week 4 Flashcards

1
Q
A

For a,b in G

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2
Q
A

3 is transitivity

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3
Q
A
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4
Q
A
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5
Q
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6
Q
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7
Q
A
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8
Q

Normal subgroup*

A
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9
Q
A
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10
Q
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11
Q
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12
Q
A
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13
Q

G/H

A

G/H = {aH: a€G} the set of all left cosets

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14
Q
A
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15
Q
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16
Q
A
17
Q
A
18
Q
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19
Q
A
20
Q

Prove that the centre of a group is a normal subgroup

A
21
Q

For subsets A B of G, AB = ?

A
22
Q

Prove

A