Login
Register
@
Dark Mode
Profile
Edit my Profile
Messages
My favorites
Register
Activity
Q&A
Questions
Unanswered
Tags
Subjects
Users
Ask
Previous Years
Blogs
New Blog
Exams
Dark Mode
Recent questions tagged group-theory
2
votes
1
answer
1
GATE CSE 2023 | Question: 41
Let $X$ be a set and $2^{X}$ denote the powerset of $X$. Define a binary operation $\Delta$ on $2^{X}$ as follows: \[ A \Delta B=(A-B) \cup(B-A) \text {. } \] Let $H=\left(2^{X}, \Delta\right)$. Which of the following statements about $H$ is/are correct? ... $A \in 2^{X},$ the inverse of $A$ is the complement of $A$. For every $A \in 2^{X},$ the inverse of $A$ is $A$.
admin
asked
in
Set Theory & Algebra
Feb 15
by
admin
1.0k
views
gatecse-2023
set-theory&algebra
group-theory
multiple-selects
2-marks
1
vote
2
answers
2
GATE CSE 2023 | Memory Based Question: 17
Let $x$ be a set, $2^x=$ power $2 \mathrm{k}$ set of $\mathrm{X}$. define A binary operation $\Delta$ on $2^x$ as $A \Delta B=(A-B) \cup(B-A)$. Let $H=\left(2^x, \Delta\right)$, then for every $A \in 2^x$; inverse of $A$ ... $\mathrm{H}$ is a group. $\mathrm{H}$ satisfies inverse prop, but not a group for every $A \in 2^x$; the inverse of $A$ is $A$.
GO Classes
asked
in
Set Theory & Algebra
Feb 6
by
GO Classes
409
views
memorybased-gatecse2023
goclasses
set-theory&algebra
group-theory
multiple-selects
0
votes
0
answers
3
#Unacademy
**Every group of prime order is always an abelian group on this fact please explain how can a 2 element group be an abelian group, please give an example
Dknights
asked
in
Set Theory & Algebra
Nov 4, 2022
by
Dknights
143
views
set-theory&algebra
abelian-group
group-theory
0
votes
0
answers
4
Madeasy Test series 2023 Discrete Maths
vishnu777
asked
in
Mathematical Logic
Nov 2, 2022
by
vishnu777
175
views
made-easy-test-series
group-theory
discrete-mathematics
1
vote
0
answers
5
Set Theory
If A = {1, 3,5,7,.......} Then (A, +) is semi group or not. Doubt : a +(b+c) =( a + b) +c So associativity property is present But a + b doesn't belong to A So closure property is not present. So A is semi group or not.
Overflow04
asked
in
Set Theory & Algebra
Oct 25, 2022
by
Overflow04
118
views
self-doubt
group-theory
set-theory
0
votes
1
answer
6
Gate At Zeal
Question → If (G,*) is a group of order 960 and there exist a in G such that a^m=e for some integer m<=960 where e is identity element of G then total number of possible value of m is___________ Answer==28
lalitver10
asked
in
Set Theory & Algebra
Sep 17, 2022
by
lalitver10
231
views
group-theory
discrete-mathematics
test-series
zeal
2
votes
1
answer
7
GO Classes Weekly Quiz 12 | Discrete Mathematics | Group Theory, Functions | Question: 1
What is the order of smallest non-cyclic group?
GO Classes
asked
in
Set Theory & Algebra
May 29, 2022
by
GO Classes
368
views
goclasses_wq12
numerical-answers
goclasses
set-theory&algebra
group-theory
group-isomorphism
1-mark
5
votes
2
answers
8
GO Classes Weekly Quiz 12 | Discrete Mathematics | Group Theory, Functions | Question: 2
Let $\text{G}$ is a cyclic group with generator ‘$a$’. Order of ‘$a$’ is $29.$ The number of subgroups $\text{G}$ has ________
GO Classes
asked
in
Set Theory & Algebra
May 29, 2022
by
GO Classes
298
views
goclasses_wq12
numerical-answers
goclasses
set-theory&algebra
group-theory
cyclic-group
1-mark
4
votes
1
answer
9
GO Classes Weekly Quiz 12 | Discrete Mathematics | Group Theory, Functions | Question: 3
In a group $\text{G},$ every element other than the identity element has order $2$ then $\mathrm{G}$ is? Abelian group Cyclic group Non-abelian group Non-cyclic group
GO Classes
asked
in
Set Theory & Algebra
May 29, 2022
by
GO Classes
214
views
goclasses_wq12
goclasses
set-theory&algebra
group-theory
abelian-group
1-mark
3
votes
2
answers
10
GO Classes Weekly Quiz 12 | Discrete Mathematics | Group Theory, Functions | Question: 4
The set $\{1, 2, 3, \dots , n - 1\}$ is a group under multiplication modulo $n.$ Then the smallest value of $n$ between $20$ and $30$ is $(20, 30$ included $)\;$ _______
GO Classes
asked
in
Set Theory & Algebra
May 29, 2022
by
GO Classes
241
views
goclasses_wq12
numerical-answers
goclasses
set-theory&algebra
group-theory
1-mark
2
votes
2
answers
11
GO Classes Weekly Quiz 12 | Discrete Mathematics | Group Theory, Functions | Question: 5
Consider the group $0,1,2,3,4,+{ }_{5}$. What will be the value of $2^{-3}$ and $3^{-2}$ for the given group? $1$ and $1$ $2$ and $3$ $4$ and $4$ $3$ and $2$
GO Classes
asked
in
Set Theory & Algebra
May 29, 2022
by
GO Classes
193
views
goclasses_wq12
goclasses
set-theory&algebra
group-theory
1-mark
3
votes
1
answer
12
GO Classes Weekly Quiz 12 | Discrete Mathematics | Group Theory, Functions | Question: 7
Let $R$ be the set of all real numbers. Let $S=R \backslash\{-1\}$ and define a binary operation on $S$ by $a \ast b=a+b+a b$. Which of the following is true? $(\mathrm{S}, \ast)$ is a not a group. ... not abelian. $(\mathrm{S}, \ast)$ is a cyclic group. $(\mathrm{S}, \ast)$ is an abelian group but not cyclic.
GO Classes
asked
in
Set Theory & Algebra
May 29, 2022
by
GO Classes
160
views
goclasses_wq12
goclasses
set-theory&algebra
group-theory
abelian-group
2-marks
3
votes
2
answers
13
GO Classes Weekly Quiz 12 | Discrete Mathematics | Group Theory, Functions | Question: 8
Which of the following associative multiplication tables defined on the set $G = \{a, b, c, d\}$ form a group?
GO Classes
asked
in
Set Theory & Algebra
May 29, 2022
by
GO Classes
285
views
goclasses_wq12
goclasses
set-theory&algebra
group-theory
multiple-selects
2-marks
4
votes
1
answer
14
GO Classes Weekly Quiz 12 | Discrete Mathematics | Group Theory, Functions | Question: 9
The group $Z_{n}$ consists of the elements $\{0,1,2, \ldots, n-1\}$ with addition $\bmod n$ as the operation. How many subgroups of $Z_{9}$ are there?
GO Classes
asked
in
Set Theory & Algebra
May 29, 2022
by
GO Classes
147
views
goclasses_wq12
numerical-answers
goclasses
set-theory&algebra
group-theory
2-marks
3
votes
1
answer
15
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 $Z.$
GO Classes
asked
in
Set Theory & Algebra
May 29, 2022
by
GO Classes
270
views
goclasses_wq12
goclasses
set-theory&algebra
group-theory
group-isomorphism
multiple-selects
2-marks
4
votes
1
answer
16
GO Classes Weekly Quiz 12 | Discrete Mathematics | Group Theory, Functions | Question: 11
The set $Z_{\mathrm{n}}^{*}$ consists of the elements $\{1,2, \ldots, \mathrm{n}-1\}$ with multiplication $\bmod n$ as the operation. The group $Z_{n}$ consists of the elements $\{0,1,2, \ldots, n-1\}$ ... then $\mathrm{G}$ is a cyclic group. The number of elements in $Z_{8}^{*}$ which have an inverse is $4.$
GO Classes
asked
in
Set Theory & Algebra
May 29, 2022
by
GO Classes
152
views
goclasses_wq12
goclasses
set-theory&algebra
group-theory
multiple-selects
2-marks
2
votes
1
answer
17
GO Classes Weekly Quiz 12 | Discrete Mathematics | Group Theory, Functions | Question: 12
Consider the standard groups $Z_{\mathrm{n}}, \mathrm{R}^{*}, \mathrm{C}^{*}$ under their standard group operation. Here, $\mathrm{R}^{*}, \mathrm{C}^{*}$ are set of non-zero real numbers, set of non-zero complex numbers, ... $\sqrt{3} \in \mathrm{R}^{*}$ $-\mathrm{i} \in \mathrm{C}^{*}$
GO Classes
asked
in
Set Theory & Algebra
May 29, 2022
by
GO Classes
149
views
goclasses_wq12
goclasses
set-theory&algebra
group-theory
multiple-selects
2-marks
1
vote
1
answer
18
GO Classes Weekly Quiz 12 | Discrete Mathematics | Group Theory, Functions | Question: 15
Let $G$ be a group under binary operation *. Let $g \in G$. We define $<g>$ as follows : $\langle g\rangle=\left\{g^{n} \mid n \in \mathbb{Z}\right\}$ ... $G$. $<g>$ is abelian. If $H \leq G$ and $g \in H$, then $< g>\leq H$.
GO Classes
asked
in
Set Theory & Algebra
May 29, 2022
by
GO Classes
225
views
goclasses_wq12
goclasses
set-theory&algebra
group-theory
abelian-group
multiple-selects
2-marks
Page:
1
2
3
4
5
6
...
8
next »
Subscribe to GATE CSE 2023 Test Series
Subscribe to GO Classes for GATE CSE 2023
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
Central Pollution Control Board CPCB Various Post Recruitment 2023
MP Rajya Sahkari Apex Bank Various Post Recruitment 2023
NITIE MUMBAI throgh GATE
PGCIL recruitment 2023 – Apply Online For 138 Posts through GATE
Admission guidance for GATE CSE 2023
Subjects
All categories
General Aptitude
(2.6k)
Engineering Mathematics
(9.4k)
Digital Logic
(3.3k)
Programming and DS
(5.9k)
Algorithms
(4.6k)
Theory of Computation
(6.7k)
Compiler Design
(2.3k)
Operating System
(5.0k)
Databases
(4.6k)
CO and Architecture
(3.8k)
Computer Networks
(4.7k)
Non GATE
(1.3k)
Others
(2.5k)
Admissions
(655)
Exam Queries
(847)
Tier 1 Placement Questions
(17)
Job Queries
(77)
Projects
(9)
Unknown Category
(866)
Recent questions tagged group-theory
Recent Blog Comments
Please see the updated link.
Unfortunately there won't be a hardcopy coming...
this book is not available on amazon now, i want...
Yes
Hi! @AnkitMazumder14 bhaiya,Is python...