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Recent questions tagged group-theory
141
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0
answers
1
votes
Charles C Pinter Abstract Algebra
If G is a group, G=(F(R), +), F(R) set of all real valued functions.H={f€F(R) ; f(-x)=-f(x)}Is H a subgroup of G?My solution. ... addition is always associative) please let me know if iam correct.https://ibb.co/sPzHg6mhttps://ibb.co/sPzHg6m
yuyutsu
141
views
yuyutsu
asked
Apr 20
Set Theory & Algebra
discrete-mathematics
group-theory
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2.9k
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2
answers
3
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GATE CSE 2024 | Set 2 | Question: 53
Let $Z_{n}$ be the group of integers $\{0,1,2, \ldots, n-1\}$ with addition modulo $n$ as the group operation. The number of elements in the group $Z_{2} \times Z_{3} \times Z_{4}$ that are their own inverses is ___________.
Arjun
2.9k
views
Arjun
asked
Feb 16
Set Theory & Algebra
gatecse2024-set2
numerical-answers
set-theory&algebra
group-theory
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2.2k
views
2
answers
3
votes
GATE CSE 2024 | Set 1 | Question: 42
Consider the operators $\diamond$ and $\square$ defined by $a \diamond b=a+2 b, a \square b=a b$, for positive integers. Which of the ... obeys the distributive lawOperator $\square$ over the operator $\diamond$ obeys the distributive law
Arjun
2.2k
views
Arjun
asked
Feb 16
Set Theory & Algebra
gatecse2024-set1
multiple-selects
set-theory&algebra
group-theory
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–
410
views
1
answers
3
votes
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 28
A group $G$ in which $(a b)^2=a^2 b^2$ for all $a, b$ in $G$ is necessarilyfinitecyclicabeliannone of the above
GO Classes
410
views
GO Classes
asked
Jan 28
Set Theory & Algebra
goclasses2024-mockgate-13
goclasses
set-theory&algebra
group-theory
1-mark
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471
views
0
answers
3
votes
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 61
Let $S$ be the set of all functions $f: \mathbb{R} \rightarrow \mathbb{R}$. Consider the two binary operations + and $\circ$ on $S$ defined as pointwise addition and ... .NoneIII onlyII and III onlyI, II, and III
GO Classes
471
views
GO Classes
asked
Jan 28
Set Theory & Algebra
goclasses2024-mockgate-13
goclasses
set-theory&algebra
group-theory
2-marks
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529
views
1
answers
2
votes
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 19
Let $\ast $ be the binary operation on the rational numbers given by $a \ast b=a+b+2 a b$. Which of the following are true?$\ast $ is commutativeThere is a rational ... a $\ast \;-$ inverse. I onlyI and II onlyI and III onlyI, II, and III
GO Classes
529
views
GO Classes
asked
Jan 21
Set Theory & Algebra
goclasses2024-mockgate-12
goclasses
set-theory&algebra
group-theory
1-mark
+
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492
views
1
answers
2
votes
GO Classes Test Series 2024 | Mock GATE | Test 11 | Question: 37
If $b$ and $c$ are elements in a group $G$, and if $b^5=c^3=e$, where $e$ is the unit element of $G$, then the inverse of $b^2 c b^4 c^2$ must be$b^4 c^2 b^2 c$c^2 b^4 c b^2$c b^2 c^2 b^4$c b c^2 b^3$
GO Classes
492
views
GO Classes
asked
Jan 13
Set Theory & Algebra
goclasses2024-mockgate-11
goclasses
set-theory&algebra
group-theory
2-marks
+
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