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Recent questions tagged group-theory
3
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1
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91
GO Classes Test Series 2024 | Discrete Mathematics | Test 3 | Question: 22
Which of the following is true Identity element is unique for a group Inverse is unique for each element of a group If $a, b$ group $\text{G}$ then $(a b)^{-1} = a^{-1} b^{-1}$ for monoid if $ax = ay$ then $x = y.$
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Apr 27, 2022
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GO Classes
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goclasses2024-dm-3-weekly-quiz
goclasses
set-theory&algebra
group-theory
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2
votes
1
answer
92
GO Classes Test Series 2024 | Discrete Mathematics | Test 3 | Question: 23
Given operation table for a group in which only elements $(a, b, c, d) \in $ Group finds the missing position. $x_{1}, x_{2}, x_{3}$ respectively. $b, c, c$ $d, a, c$ $b, c, a$ $b, d, c$
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GO Classes
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goclasses2024-dm-3-weekly-quiz
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group-theory
2-marks
3
votes
1
answer
93
GO Classes Test Series 2024 | Discrete Mathematics | Test 3 | Question: 25
None I only I and II only All
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Apr 27, 2022
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GO Classes
211
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goclasses2024-dm-3-weekly-quiz
goclasses
set-theory&algebra
group-theory
2-marks
1
vote
2
answers
94
NIELIT 2022 April Scientist B | Section B | Question: 65
Let $\text{G}$ be a multiplicative group and $a \in \text{G.}$ If the order of $a$ is $6,$ then the order of $a^{5}$ is equal to : $1$ $5$ $6$ $30$
soujanyareddy13
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Apr 12, 2022
by
soujanyareddy13
1.2k
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nielit2022apr-scientistb
group-theory
14
votes
2
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95
GATE CSE 2022 | Question: 17
Which of the following statements is/are $\text{TRUE}$ for a group $\textit{G}?$ If for all $x,y \in \textit{G}, \; (xy)^{2} = x^{2} y^{2},$ then $\textit{G}$ is commutative. If for all $x \in \textit{G}, \; x^{2} = 1,$ then ... $2,$ then $\textit{G}$ is commutative. If $\textit{G}$ is commutative, then a subgroup of $\textit{G}$ need not be commutative.
Arjun
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in
Set Theory & Algebra
Feb 15, 2022
by
Arjun
7.4k
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gatecse-2022
set-theory&algebra
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0
votes
1
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96
made easy test series - group theory
Let G be a group of 52 elements. The largest possible size of a subgroup of G other than G itself is ____.
atulcse
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Set Theory & Algebra
Jan 12, 2022
by
atulcse
711
views
made-easy-test-series
group-theory
23
votes
4
answers
97
GATE CSE 2021 Set 1 | Question: 34
Let $G$ be a group of order $6$, and $H$ be a subgroup of $G$ such that $1<|H|<6$. Which one of the following options is correct? Both $G$ and $H$ are always cyclic $G$ may not be cyclic, but $H$ is always cyclic $G$ is always cyclic, but $H$ may not be cyclic Both $G$ and $H$ may not be cyclic
Arjun
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in
Set Theory & Algebra
Feb 18, 2021
by
Arjun
8.2k
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gatecse-2021-set1
set-theory&algebra
group-theory
2-marks
3
votes
1
answer
98
NIELIT 2016 DEC Scientist B (IT) - Section B: 21
Consider the set $S=\{1,\omega,\omega ^2\}$, where $\omega$ and $\omega^2$ are cube roots of unity. If $*$ denotes the multiplication operation, the structure $(S,*)$ forms: A group A ring An integral domain A field
admin
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in
Set Theory & Algebra
Mar 31, 2020
by
admin
700
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nielit2016dec-scientistb-it
discrete-mathematics
set-theory&algebra
group-theory
3
votes
1
answer
99
NIELIT 2016 DEC Scientist B (CS) - Section B: 28
Which one of the following is NOT necessarily a property of a Group? Commutativity Associativity Existence of inverse for every element Existence of identity
admin
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in
Set Theory & Algebra
Mar 31, 2020
by
admin
766
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nielit2016dec-scientistb-cs
discrete-mathematics
group-theory
abelian-group
4
votes
5
answers
100
NIELIT 2017 DEC Scientist B - Section B: 48
On a set $A = \{a,b,c,d\}$ a binary operation $*$ ... The relation is Commutative but not associative Neither commutative nor associative Both commutative and associative Associative but not commutative
admin
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in
Set Theory & Algebra
Mar 30, 2020
by
admin
1.8k
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nielit2017dec-scientistb
discrete-mathematics
group-theory
abelian-group
15
votes
4
answers
101
GATE CSE 2020 | Question: 18
Let $G$ be a group of $35$ elements. Then the largest possible size of a subgroup of $G$ other than $G$ itself is _______.
Arjun
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Set Theory & Algebra
Feb 12, 2020
by
Arjun
9.1k
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gatecse-2020
numerical-answers
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