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Recent questions tagged groupisomorphism
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1
ISIMMA201592
Consider the group $G \;=\; \begin{Bmatrix} \begin{pmatrix} a & b \\ 0 & a^{1} \end{pmatrix}\;: a,b \in \mathbb{R},a>0 \end{Bmatrix}$ ... order (D) $N$ is a normal subgroup and the quotient group is isomorphic to $\mathbb{R}^{+}$(the group of positive reals with multiplication).
asked
Mar 6
in
Set Theory & Algebra
by
ankitgupta.1729
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16.4k
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133
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groups
groupisomorphism
engineeringmathematics
userisi2015
usermod
0
votes
1
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2
Non isomorphic group of order 10
Number of non isomorphic group of order 10
asked
Sep 27, 2018
in
Set Theory & Algebra
by
Sangeethasiva
(
5
points)

233
views
groups
groupisomorphism
+2
votes
0
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3
GATE19879f
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.
asked
Nov 15, 2016
in
Set Theory & Algebra
by
makhdoom ghaya
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30.2k
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186
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gate1987
groupisomorphism
settheory&algebra
nongate
+1
vote
1
answer
4
UGCNETJune2014II21
Consider the graph given below as : Which one of the following graph is isomorphic to the above graph ?
asked
Jun 27, 2016
in
Graph Theory
by
makhdoom ghaya
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30.2k
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1.2k
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ugcnetjune2014ii
graphtheory
groupisomorphism
nongate
+2
votes
1
answer
5
TIFR2015MathsA4
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. $S = \infty$
asked
Dec 19, 2015
in
Set Theory & Algebra
by
makhdoom ghaya
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(
30.2k
points)

83
views
tifrmaths2015
groups
groupisomorphism
nongate
+1
vote
0
answers
6
TIFR2014MathsB5
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 $\mathbb{Z}/4$
asked
Dec 17, 2015
in
Set Theory & Algebra
by
makhdoom ghaya
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(
30.2k
points)

79
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tifrmaths2014
settheory&algebra
groups
groupisomorphism
nongate
+1
vote
0
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7
TIFR2014MathsB3
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 $\mathbb{Z}/4$
asked
Dec 17, 2015
in
Set Theory & Algebra
by
makhdoom ghaya
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(
30.2k
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72
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tifrmaths2014
settheory&algebra
groups
groupisomorphism
nongate
+1
vote
0
answers
8
TIFR2011MathsB7
There is a nontrivial group homomorphism from $S_{3}$ to $\mathbb{Z}/3\mathbb{Z}$.
asked
Dec 9, 2015
in
Set Theory & Algebra
by
makhdoom ghaya
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30.2k
points)

169
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tifrmaths2011
groups
groupisomorphism
nongate
+1
vote
0
answers
9
TIFR2011MathsB3
There are n homomorphisms from the group $\mathbb{Z}/n\mathbb{Z}$ to the additive group of rationals $\mathbb{Q}$.
asked
Dec 9, 2015
in
Set Theory & Algebra
by
makhdoom ghaya
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30.2k
points)

95
views
tifrmaths2011
groups
groupisomorphism
nongate
+1
vote
1
answer
10
TIFR2011MathsA22
There exists a group with a proper subgroup isomorphic to itself.
asked
Dec 9, 2015
in
Set Theory & Algebra
by
makhdoom ghaya
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30.2k
points)

139
views
tifrmaths2011
groups
groupisomorphism
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