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Recent questions tagged group-isomorphism
2
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1
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GO Classes Weekly Quiz 12 | Discrete Mathematics | Group Theory, Functions | Question: 1
What is the order of smallest non-cyclic group?
GO Classes
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May 29, 2022
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GO Classes
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goclasses_wq12
numerical-answers
goclasses
set-theory&algebra
group-theory
group-isomorphism
1-mark
3
votes
1
answer
2
GO Classes Weekly Quiz 12 | Discrete Mathematics | Group Theory, Functions | Question: 10
Let $Z$ be the set of all integers. Let $n \in Z$ and $nZ = {nk : k \in Z}.$ Which of the following is/are true? $nZ$ is a subgroup of $Z$ (under addition operation) for all $n \in Z.$ Every subgroup of ... some $n.$ $3Z$ is the smallest subgroup of $(Z,+)$ containing $3.$ $nZ$ is a cyclic subgroup of $Z.$
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May 29, 2022
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GO Classes
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goclasses_wq12
goclasses
set-theory&algebra
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multiple-selects
2-marks
2
votes
2
answers
3
Non isomorphic group of order 10
Number of non isomorphic group of order 10
Sangeethasiva
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in
Set Theory & Algebra
Sep 27, 2018
by
Sangeethasiva
2.0k
views
group-theory
group-isomorphism
3
votes
1
answer
4
GATE CSE 1987 | Question: 9f
Give the composition tables (Cayley Tables) of the two non-isomorphic groups of order $4$ with elements $e, a, b, c$ where $c$ is the identity element. Use the order $e, a, b, c$ for the rows and columns.
makhdoom ghaya
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in
Set Theory & Algebra
Nov 15, 2016
by
makhdoom ghaya
586
views
gate1987
set-theory&algebra
group-theory
group-isomorphism
descriptive
out-of-gate-syllabus
2
votes
1
answer
5
TIFR-2015-Maths-A-4
Let $S$ be the collection of (isomorphism classes of) groups $G$ which have the property that every element of $G$ commutes only with the identity element and itself. Then $|S| = 1$ $|S| = 2$ $|S| \geq 3$ and is finite $|S| = \infty$
makhdoom ghaya
asked
in
Set Theory & Algebra
Dec 19, 2015
by
makhdoom ghaya
671
views
tifrmaths2015
group-theory
group-isomorphism
non-gate
1
vote
0
answers
6
TIFR-2014-Maths-B-5
Which of the following groups are isomorphic? $\mathbb{R}$ and $C$ $\mathbb{R}^{*}$ and $C^{*}$ $S_{3}\times \mathbb{Z}/4$ and $S_{4}$ $\mathbb{Z}/2\times \mathbb{Z}/2$ and $\mathbb{Z}/4$
makhdoom ghaya
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Set Theory & Algebra
Dec 17, 2015
by
makhdoom ghaya
297
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tifrmaths2014
set-theory&algebra
group-theory
group-isomorphism
non-gate
1
vote
0
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7
TIFR-2014-Maths-B-3
Let $S_{n}$ be the symmetric group of $n$ letters. There exists an onto group homomorphism From $S_{5}$ to $S_{4}$ From $S_{4}$ to $S_{2}$ From $S_{5}$ to $\mathbb{Z}/5$ From $S_{4}$ to $\mathbb{Z}/4$
makhdoom ghaya
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in
Set Theory & Algebra
Dec 17, 2015
by
makhdoom ghaya
349
views
tifrmaths2014
set-theory&algebra
group-theory
group-isomorphism
non-gate
2
votes
0
answers
8
TIFR-2011-Maths-B-7
There is a non-trivial group homomorphism from $S_{3}$ to $\mathbb{Z}/3\mathbb{Z}$.
makhdoom ghaya
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in
Set Theory & Algebra
Dec 9, 2015
by
makhdoom ghaya
443
views
tifrmaths2011
group-theory
group-isomorphism
non-gate
1
vote
0
answers
9
TIFR-2011-Maths-B-3
There are n homomorphisms from the group $\mathbb{Z}/n\mathbb{Z}$ to the additive group of rationals $\mathbb{Q}$.
makhdoom ghaya
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in
Set Theory & Algebra
Dec 9, 2015
by
makhdoom ghaya
255
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tifrmaths2011
group-theory
group-isomorphism
non-gate
2
votes
1
answer
10
TIFR-2011-Maths-A-22
There exists a group with a proper subgroup isomorphic to itself.
makhdoom ghaya
asked
in
Set Theory & Algebra
Dec 9, 2015
by
makhdoom ghaya
463
views
tifrmaths2011
group-theory
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Recent questions tagged group-isomorphism
Recent Blog Comments
It's not a standard resource, don't follow them.
https://byjus.com/maths/diagonalization/
@amit166 can you share the reference of the...
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