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Recent questions tagged group-theory
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31
GO Classes 2023 | IIITH Mock Test 1 | Question: 5
$(\text{Q}, \ast)$ is an algebraic structure where $\text{Q}$ represents rational numbers and $\ast$ denotes multiplication. Which one of the following statements is true? $\text{Q}$ is an abelian group. $\text{Q}$ is a group but not abelian. $\text{Q}$ is a semigroup but not a monoid. $\text{Q}$ is monoid but not group.
GO Classes
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Mar 26, 2023
by
GO Classes
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goclasses2023-iiith-mock-1
goclasses
set-theory&algebra
group-theory
abelian-group
1-mark
10
votes
1
answer
32
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
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in
Set Theory & Algebra
Feb 15, 2023
by
admin
5.5k
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gatecse-2023
set-theory&algebra
group-theory
multiple-selects
2-marks
1
vote
2
answers
33
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
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in
Set Theory & Algebra
Feb 5, 2023
by
GO Classes
868
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memorybased-gatecse2023
goclasses
set-theory&algebra
group-theory
multiple-selects
0
votes
0
answers
34
#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
350
views
set-theory&algebra
abelian-group
group-theory
0
votes
0
answers
35
Madeasy Test series 2023 Discrete Maths
vishnu777
asked
in
Mathematical Logic
Nov 2, 2022
by
vishnu777
253
views
made-easy-test-series
group-theory
discrete-mathematics
1
vote
0
answers
36
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
372
views
self-doubt
group-theory
set-theory
0
votes
1
answer
37
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
478
views
group-theory
discrete-mathematics
test-series
zeal
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