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Recent questions tagged groups
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1
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
2 days
ago
in
Mathematical Logic
by
Na462
Loyal
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7.4k
points)

15
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groups
discretemathematics
+2
votes
1
answer
2
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
2 days
ago
in
Set Theory & Algebra
by
Na462
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7.4k
points)

41
views
groups
discretemathematics
+1
vote
1
answer
3
GATE 2014 MA Groups
asked
Oct 26
in
Set Theory & Algebra
by
Balaji Jegan
Active
(
3.9k
points)

25
views
groups
0
votes
0
answers
4
GATE 2014 MA Group Theory
Number of nonisomorphic groups of order 10 = ?
asked
Oct 26
in
Set Theory & Algebra
by
Balaji Jegan
Active
(
3.9k
points)

25
views
groups
0
votes
1
answer
5
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
in
Set Theory & Algebra
by
Prateek Raghuvanshi
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7.7k
points)

124
views
groups
0
votes
0
answers
6
Cyclic group
The order of cyclic group is equal to order of generating element.... Somebody explain with example plz
asked
Oct 10
in
Mathematical Logic
by
akankshadewangan24
Active
(
4.2k
points)

23
views
groups
discretemathematics
cyclic
settheory&algebra
+1
vote
1
answer
7
TestBook:Order of Group
How to solve this type of questions??
asked
Oct 7
in
Set Theory & Algebra
by
Lakshman Patel RJIT
Boss
(
17.8k
points)

78
views
discretemathematics
settheory&algebra
groups
+1
vote
1
answer
8
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
in
Set Theory & Algebra
by
Lakshman Patel RJIT
Boss
(
17.8k
points)

50
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discretemathematics
cyclic
groups
+2
votes
1
answer
9
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
in
Set Theory & Algebra
by
Lakshman Patel RJIT
Boss
(
17.8k
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44
views
discretemathematics
settheory&algebra
groups
0
votes
1
answer
10
Non isomorphic group of order 10
Number of non isomorphic group of order 10
asked
Sep 27
in
Set Theory & Algebra
by
Sangeethasiva
(
7
points)

45
views
groups
groupisomorphism
0
votes
1
answer
11
Number of abelian groups
How many different nonisomorphic Abelian groups of order 16 are there?
asked
Sep 22
in
Set Theory & Algebra
by
Mk Utkarsh
Boss
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28.7k
points)

52
views
groups
0
votes
1
answer
12
Isomorphic Groups
Can Please anybody describe the concept of Isomorphic Groups with an example ? Reference to https://gateoverflow.in/1219/gate200721
asked
May 31
in
Set Theory & Algebra
by
Na462
Loyal
(
7.4k
points)

76
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groups
0
votes
1
answer
13
Group Theory
Let G and G1 be two groups such that G1 is a homomorphic image of G. If G is a cyclic group then so is G1.
asked
May 31
in
Mathematical Logic
by
Sammohan Ganguly
(
435
points)

35
views
groups
0
votes
1
answer
14
Group theory
Let G and G1 be two groups such that G1 is a homomorphic image of G. Prove that if G is a commutative group,then so is G1.
asked
May 31
in
Mathematical Logic
by
Sammohan Ganguly
(
435
points)

27
views
groups
0
votes
1
answer
15
Group theory
A homomorphism $f:G$ to $G1$ of groups is a monomorphism iff Ker $f = \{e\}$.
asked
May 29
in
Set Theory & Algebra
by
Sammohan Ganguly
(
435
points)

62
views
engineeringmathematics
discretemathematics
groups
grouphomomorphism
groupmonomorphism
0
votes
0
answers
16
group theory and cryptography
How is group theory and cryptography linked?
asked
May 2
in
Others
by
Sri
(
59
points)

43
views
groups
cryptography
+1
vote
1
answer
17
Group Theory
Prove that : Every infinite cyclic group is isomorphic to the infinite cyclic group of integers under addition.
asked
May 1
in
Set Theory & Algebra
by
ankitgupta.1729
Loyal
(
8.3k
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94
views
discretemathematics
groups
settheory&algebra
engineeringmathematics
+2
votes
1
answer
18
ISI2017MMA28
Let $H$ be a subgroup of group $G$ and let $N$ be a normal subgroup of $G$. Choose the correct statement : $H\cap N$ is a normal subgroup of both $H$ and $N$ $H\cap N$ is a normal subgroup of $H$ but not necessarily of $N$ $H\cap N$ is a normal subgroup of $N$ but not necessarily of $H$ $H\cap N$ need not to be a normal subgroup of either $H$ or $N$
asked
Apr 24
in
Set Theory & Algebra
by
Tesla!
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17.4k
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175
views
isi2017mma
groups
+1
vote
1
answer
19
ISI201728
Let $H$ be a subgroup of a group $G$ and let $N$ be a normal subgroup of $G$. Choose the correct statement: $H \cap N$ is a normal subgroup of both $H$ and $N$ $H \cap N$ is a normal subgroup of $H$ but not necessarily of $N$ $H \cap N$ is a normal subgroup of $N$ but not necessarily of $H$ $H \cap N$ need not be a normal subgroup of either $H$ and $N$
asked
Mar 29
in
Mathematical Logic
by
jjayantamahata
Active
(
1.6k
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61
views
isi2017
engineeringmathematics
groups
+5
votes
4
answers
20
GATE201819
Let $G$ be a finite group on $84$ elements. The size of a largest possible proper subgroup of $G$ is _____
asked
Feb 14
in
Set Theory & Algebra
by
gatecse
Boss
(
18.3k
points)

2.2k
views
gate2018
groups
numericalanswers
+1
vote
1
answer
21
non abelian
Let G be a non abelian group, order of G can be 24 44 54 34
asked
Jan 30
in
Set Theory & Algebra
by
A_i_$_h
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(
12.6k
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54
views
abeliangroup
groups
+1
vote
0
answers
22
GROUP
does it satisfy for every subset of R?
asked
Jan 25
in
Engineering Mathematics
by
raviyogi
Active
(
2.6k
points)

52
views
groups
discretemathematics
settheory&algebra
abeliangroup
engineeringmathematics
+2
votes
1
answer
23
Check which one is this
The binary operation defined on a,b∈z such that a*b= min(a,b)then (A,*) is a)monoid b)group c)algebricstructure d)semi group
asked
Jan 21
in
Set Theory & Algebra
by
MIRIYALA JEEVAN KUMA
Active
(
2.3k
points)

151
views
discretemathematics
groups
0
votes
0
answers
24
Group
A set of odd integers under the operation of multiplication forms A) A group but not abelian group B) A monoid but not group C) Semigroup but not monoid D) Abelian group
asked
Dec 28, 2017
in
Set Theory & Algebra
by
srestha
Veteran
(
103k
points)

272
views
groups
discretemathematics
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