The Gateway to Computer Science Excellence
For all GATE CSE Questions
Toggle navigation
Facebook Login
or
Email or Username
Password
Remember
Login
Register

I forgot my password
Activity
Questions
Unanswered
Tags
Subjects
Users
Ask
Prev
Blogs
New Blog
Exams
Recent questions tagged grouptheory
0
votes
1
answer
1
$\textbf{NTA NET DEC 2019 (group)}$
Consider the following statements: $\mathbf{S_1:}\;\;$If a group $\mathbf{(G,*)}$ is of order $\mathbf n$ and $\mathrm {a \in G}$ is such that $\mathrm {a^n=e}$ for some integer $\mathrm {m \le n}$ then $\mathbf m$ must divide $\mathbf n$ ... $(3)\;\;\;\text{Niether}\; \mathrm{S_1}\;\text{nor}\;\mathrm{S_2}$
asked
Dec 29, 2019
in
Set Theory & Algebra
by
Sanjay Sharma
Boss
(
49.3k
points)

99
views
ugcnetdec2019ii
grouptheory
0
votes
0
answers
2
ISI2015MMA92
Consider the group $G=\begin{Bmatrix} \begin{pmatrix} a & b \\ 0 & a^{1} \end{pmatrix} : a,b \in \mathbb{R}, \: a>0 \end{Bmatrix}$ ... is of finite order $N$ is a normal subgroup and the quotient group is isomorphic to $\mathbb{R}^+$ (the group of positive reals with multiplication).
asked
Sep 23, 2019
in
Set Theory & Algebra
by
Arjun
Veteran
(
431k
points)

22
views
isi2015mma
grouptheory
subgroups
normal
nongate
0
votes
1
answer
3
ISI2015MMA93
Let $G$ be a group with identity element $e$. If $x$ and $y$ are elements in $G$ satisfying $x^5y^3=x^8y^5=e$, then which of the following conditions is true? $x=e, \: y=e$ $x\neq e, \: y=e$ $x=e, \: y \neq e$ $x\neq e, \: y \neq e$
asked
Sep 23, 2019
in
Set Theory & Algebra
by
Arjun
Veteran
(
431k
points)

28
views
isi2015mma
grouptheory
0
votes
1
answer
4
ISI2015MMA94
Let $G$ be the group $\{\pm1, \pm i \}$ with multiplication of complex numbers as composition. Let $H$ be the quotient group $\mathbb{Z}/4 \mathbb{Z}$. Then the number of nontrivial group homomorphisms from $H$ to $G$ is $4$ $1$ $2$ $3$
asked
Sep 23, 2019
in
Set Theory & Algebra
by
Arjun
Veteran
(
431k
points)

20
views
isi2015mma
grouptheory
nongate
0
votes
1
answer
5
ISI2018MMA15
Let $G$ be a finite group of even order. Then which of the following statements is correct? The number of elements of order $2$ in $G$ is even The number of elements of order $2$ in $G$ is odd $G$ has no subgroup of order $2$ None of the above.
asked
May 11, 2019
in
Set Theory & Algebra
by
akash.dinkar12
Boss
(
42.5k
points)

96
views
isi2018mma
engineeringmathematics
discretemathematics
settheory&algebra
grouptheory
+1
vote
1
answer
6
ISI2019MMA19
Let $G =\{a_1,a_2, \dots ,a_{12}\}$ be an Abelian group of order $12$ . Then the order of the element $ ( \prod_{i=1}^{12} a_i)$ is $1$ $2$ $6$ $12$
asked
May 7, 2019
in
Set Theory & Algebra
by
Sayan Bose
Loyal
(
7.4k
points)

245
views
isi2019mma
engineeringmathematics
discretemathematics
settheory&algebra
grouptheory
0
votes
1
answer
7
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, 2019
in
Set Theory & Algebra
by
ankitgupta.1729
Boss
(
17.1k
points)

140
views
grouptheory
groupisomorphism
engineeringmathematics
userisi2015
usermod
+11
votes
3
answers
8
GATE201910
Let $G$ be an arbitrary group. Consider the following relations on $G$: $R_1: \forall a , b \in G, \: a R_1 b \text{ if and only if } \exists g \in G \text{ such that } a = g^{1}bg$ $R_2: \forall a , b \in G, \: a R_2 b \text{ if and only if } a= b^{1}$ Which of the above is/are equivalence relation/relations? $R_1$ and $R_2$ $R_1$ only $R_2$ only Neither $R_1$ nor $R_2$
asked
Feb 7, 2019
in
Set Theory & Algebra
by
Arjun
Veteran
(
431k
points)

3.6k
views
gate2019
engineeringmathematics
discretemathematics
settheory&algebra
grouptheory
0
votes
0
answers
9
Made Easy Test Series 2019: Set theory & Algebra  Groups
set of all possible diagonal matrix of order n ans given monoid my doubtwhy it cannot have inverse??
asked
Jan 24, 2019
in
Set Theory & Algebra
by
priyanka manwani
(
461
points)

86
views
discretemathematics
settheory&algebra
grouptheory
madeeasytestseries2019
madeeasytestseries
0
votes
0
answers
10
Homomorphic and Isomorphic graph
This a random question came into my mind… Are the below statements true: 1] If a graph is Homomorphic to our graph then it is also Isomorphic to that graph. 2]If a graph is Isomorphic to our graph then it is also Homomorphic graph.
asked
Jan 21, 2019
in
Set Theory & Algebra
by
Nandkishor3939
Active
(
1.3k
points)

61
views
graphisomorphism
graphtheory
grouptheory
0
votes
0
answers
11
cyclic group
1) 1 2) 2 3) 3 4) 4
asked
Jan 21, 2019
in
Mathematical Logic
by
bts1jimin
(
205
points)

71
views
grouptheory
cyclic
0
votes
1
answer
12
group
if (G,*) is a cyclic group of order 97 , then number of generator of G is equal to ___
asked
Jan 16, 2019
in
Set Theory & Algebra
by
Rahul_Rathod_
(
431
points)

139
views
grouptheory
discretemathematics
settheory&algebra
0
votes
0
answers
13
Monoid in Group Theory
Is this monoid: Addition modulo (take mode using m) on the set of Integers (Z m)={0,1,2,3,4,…..m1} i.e. For all a a (+ modulo using m) e = e (+ modulo using m) a =a here, e is an identity element
asked
Jan 14, 2019
in
Set Theory & Algebra
by
Nandkishor3939
Active
(
1.3k
points)

84
views
grouptheory
discretemathematics
+1
vote
0
answers
14
VIRTUAL GATE TEST SERIES
asked
Jan 11, 2019
in
Set Theory & Algebra
by
Ajay Maurya 6
(
405
points)

132
views
grouptheory
+1
vote
2
answers
15
#set theory #groups
Consider the set H of all 3 × 3 matrices of the type: $\begin{bmatrix} a&f&e\\ 0&b&d\\ 0&0&c\\ \end{bmatrix}$ where a, b, c, d, e and f are real numbers and $abc ≠ 0$. Under the matrix multiplication operation, the set H is: (a) a group (b) a monoid but not a group (c) a semigroup but not a monoid (d) neither a group nor a semigroup
asked
Jan 5, 2019
in
Set Theory & Algebra
by
Kunal Kadian
Active
(
2.8k
points)

81
views
settheory&algebra
grouptheory
matrices
0
votes
0
answers
16
Self Doubt[Group Theory]
Is Every Group of Order $P^{k}$ such that P is prime and K is positive integer ABELIAN
asked
Dec 26, 2018
in
Set Theory & Algebra
by
jatin khachane 1
Loyal
(
7.5k
points)

57
views
discretemathematics
grouptheory
0
votes
1
answer
17
Zeal Test Series 2019: Set Theory & Algebra  Groups
asked
Dec 22, 2018
in
Set Theory & Algebra
by
Prince Sindhiya
Loyal
(
5.9k
points)

77
views
discretemathematics
settheory&algebra
grouptheory
zeal
zeal2019
0
votes
0
answers
18
Group Theory
Lets S1 and S2 be two algebric structure : S1 : {0,1,2,3,4,….,m1},+m1 S2 : {0,1,2,3,4,….,m2},+m1 +m is the addition modulo m. Which of the following are Groups ?
asked
Dec 8, 2018
in
Mathematical Logic
by
Na462
Loyal
(
7k
points)

65
views
grouptheory
discretemathematics
+4
votes
1
answer
19
Group theory
Let (G,*) be a group such that O(G) = 8, where O(G) denotes the order of the group. Which of the following is True ? There exist no element a in G whose order is 6. There exist an element a in G whose order is 4. There exist more then one element in G whose order is 1 None of these
asked
Dec 8, 2018
in
Set Theory & Algebra
by
Na462
Loyal
(
7k
points)

271
views
grouptheory
discretemathematics
+1
vote
1
answer
20
GATE 2014 MA Groups
asked
Oct 26, 2018
in
Set Theory & Algebra
by
Balaji Jegan
Active
(
5.1k
points)

73
views
grouptheory
0
votes
0
answers
21
GATE 2014 MA Group Theory
Number of nonisomorphic groups of order 10 = ?
asked
Oct 26, 2018
in
Set Theory & Algebra
by
Balaji Jegan
Active
(
5.1k
points)

72
views
grouptheory
0
votes
0
answers
22
Virtual Gate Test Series: Discrete Mathematics  Set Theory & Algebra  Groups
asked
Oct 15, 2018
in
Set Theory & Algebra
by
Prince Sindhiya
Loyal
(
5.9k
points)

58
views
discretemathematics
settheory&algebra
grouptheory
virtualgatetestseries
0
votes
1
answer
23
doubt #Abelian group
reference:Rosen i think two more abelian groups are possible . 1 and 3 are given ,2 and 4 also exist .if i m wrong let me know ,thank you.
asked
Oct 13, 2018
in
Set Theory & Algebra
by
Prateek Raghuvanshi
Boss
(
10.8k
points)

176
views
grouptheory
0
votes
0
answers
24
Cyclic group
The order of cyclic group is equal to order of generating element.... Somebody explain with example plz
asked
Oct 10, 2018
in
Mathematical Logic
by
akankshadewangan24
Active
(
4k
points)

165
views
grouptheory
discretemathematics
cyclic
settheory&algebra
+1
vote
1
answer
25
TestBook:Order of Group
How to solve this type of questions??
asked
Oct 7, 2018
in
Set Theory & Algebra
by
Lakshman Patel RJIT
Veteran
(
59.3k
points)

178
views
discretemathematics
settheory&algebra
grouptheory
+2
votes
1
answer
26
Cyclic Group
Suppose that $G$ is a cyclic group of order $10$ with generator $a\in G$.Order of $a^{8}$ is _______
asked
Oct 7, 2018
in
Set Theory & Algebra
by
Lakshman Patel RJIT
Veteran
(
59.3k
points)

225
views
discretemathematics
cyclic
grouptheory
+2
votes
1
answer
27
Groups
If two elements of a group G satisfies $aba^{1} = b^{2}$ for $b\neq e$ then which of the following is equal to $b^{32}$ $A) a^{16}ba^{16}$ $B) a^{5}ba^{5}$ $C) ab^{16}a^{1}$ $D)$ Both $(B)$ and $(C)$
asked
Oct 7, 2018
in
Set Theory & Algebra
by
Lakshman Patel RJIT
Veteran
(
59.3k
points)

87
views
discretemathematics
settheory&algebra
grouptheory
0
votes
1
answer
28
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)

300
views
grouptheory
groupisomorphism
0
votes
1
answer
29
Number of abelian groups
How many different nonisomorphic Abelian groups of order 16 are there?
asked
Sep 22, 2018
in
Set Theory & Algebra
by
Mk Utkarsh
Boss
(
36.6k
points)

147
views
grouptheory
0
votes
0
answers
30
Zeal Workbook: Set Theory & Algebra  Groups
$\text{Prove that : the union of any two subgroup of 'G' is not subgroup of 'G'}$ $\text{Prove that : the intersection of any two subgroup of 'G' is also a subgroup of 'G'}$
asked
Aug 22, 2018
in
Set Theory & Algebra
by
Prince Sindhiya
Loyal
(
5.9k
points)

33
views
discretemathematics
settheory&algebra
grouptheory
zeal
zealworkbook
Page:
1
2
3
4
5
next »
Quick search syntax
tags
tag:apple
author
user:martin
title
title:apple
content
content:apple
exclude
tag:apple
force match
+apple
views
views:100
score
score:10
answers
answers:2
is accepted
isaccepted:true
is closed
isclosed:true
Recent Posts
ISRO CSE 2020 PAPER ANALYSE
BARC OCES/DGFS 2020
ISI CMI PDF by GATE Overflow
Calculus Important Points
Management Trainee Recruitment COAL INDIA 2020
Follow @csegate
Recent questions tagged grouptheory
Recent Blog Comments
Cut off will be between 95115 not more than that.
@saxena0612 , Sir since they are not considering...
Hey Everyone! Those who think that they are...
Which questions are u challenging..?
ONLY T MADE EASY STUDENTS CAN UNDERSTAND,
50,737
questions
57,370
answers
198,506
comments
105,272
users