List questions from quotient-group

Published on 28 Nov 2017 - 13:18

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Showing quotient group operations are well defined

Published on 28 Nov 2017 - 14:41

328

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Group Theory - define multiplication on R^2 \ (0,0)

Published on 29 Nov 2017 - 13:07

368

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Show a quotient group is not cyclic.

Published on 01 Dec 2017 - 14:29

822

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Order of a Coset of $U(32)$

Published on 01 Dec 2017 - 22:02

103

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How to determine the cardinal of $\mathbb{F}_p[X] / (X^2 + X + 1)$

Published on 02 Dec 2017 - 19:48

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Why Quotient group is not a subgroup?

Published on 04 Dec 2017 - 21:34

43

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Quotient group members $\mathbb{Z}_3[X]/N$ with $N=1+X^2$

Published on 04 Dec 2017 - 22:56

74

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Do there exist groups $X,Y$ such that $X/Y,Y$ are commutative/cyclic but $X$ is not?

Published on 09 Dec 2017 - 17:41

218

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isomorphic quotient groups but non-isomorphic groups

Published on 11 Dec 2017 - 3:32

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Why is the fact that a quotient group is a group relevant?

Published on 26 Mar 2026 - 11:04

274

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K is a subgroup of G. Determine whether the given cosets are disjoint or identical

Published on 17 Dec 2017 - 20:36

798

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How to construct quotient ring tables?

Published on 20 Dec 2017 - 14:33

1k

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Is the quotient of a normal subgroup necessarily normal?

Published on 25 Dec 2017 - 3:18

1.6k

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quotient of direct sum of modules is the direct sum of the quotients?

Published on 26 Dec 2017 - 19:52

List Question

Isomorphism of Quotient Group: $U(32)/U_{16}(32)$

Showing quotient group operations are well defined

Group Theory - define multiplication on R^2 \ (0,0)

Show a quotient group is not cyclic.

Order of a Coset of $U(32)$

How to determine the cardinal of $\mathbb{F}_p[X] / (X^2 + X + 1)$

Why Quotient group is not a subgroup?

Quotient group members $\mathbb{Z}_3[X]/N$ with $N=1+X^2$

Do there exist groups $X,Y$ such that $X/Y,Y$ are commutative/cyclic but $X$ is not?

isomorphic quotient groups but non-isomorphic groups

Why is the fact that a quotient group is a group relevant?

K is a subgroup of G. Determine whether the given cosets are disjoint or identical

How to construct quotient ring tables?

Is the quotient of a normal subgroup necessarily normal?

quotient of direct sum of modules is the direct sum of the quotients?

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