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Recent questions tagged groups
0
votes
1
answer
1
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
Active
(
4.5k
points)

51
views
groups
0
votes
1
answer
2
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)

25
views
groups
0
votes
1
answer
3
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)

21
views
groups
0
votes
1
answer
4
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)

45
views
engineeringmathematics
discretemathematics
groups
grouphomomorphism
groupmonomorphism
0
votes
0
answers
5
group theory and cryptography
How is group theory and cryptography linked?
asked
May 2
in
Others
by
Sri
(
59
points)

42
views
groups
cryptography
+1
vote
1
answer
6
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
(
6.6k
points)

74
views
discretemathematics
groups
settheory&algebra
engineeringmathematics
+1
vote
1
answer
7
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!
Boss
(
16.2k
points)

83
views
isi2017
groups
+1
vote
1
answer
8
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
(
1.5k
points)

51
views
isi2017
engineeringmathematics
groups
+4
votes
4
answers
9
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
(
18.1k
points)

1.9k
views
gate2018
groups
numericalanswers
+1
vote
0
answers
10
GROUP
does it satisfy for every subset of R?
asked
Jan 25
in
Engineering Mathematics
by
raviyogi
Active
(
2.6k
points)

46
views
groups
discretemathematics
settheory&algebra
abeliangroup
engineeringmathematics
+2
votes
1
answer
11
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
(
1.8k
points)

144
views
discretemathematics
groups
0
votes
0
answers
12
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
(
91.8k
points)

236
views
groups
discretemathematics
+2
votes
1
answer
13
cyclic group
asked
Dec 27, 2017
in
Set Theory & Algebra
by
Lakshman Patel RJIT
Loyal
(
8k
points)

62
views
groups
+2
votes
0
answers
14
group
asked
Dec 27, 2017
in
Set Theory & Algebra
by
Lakshman Patel RJIT
Loyal
(
8k
points)

40
views
groups
0
votes
1
answer
15
Cyclic Group
Find all the subgroups of a cyclic group of order 12. (A) {e},(a6),(a4),(a3),(a2),(a) (B) (a12),(a6),(a4),(a3),(a2),(a) (C) (a12),(a6),(a4),(a2),(a) (D) (a12),(a6),(a4),(a3),(a2),(a),{e}
asked
Dec 6, 2017
in
Set Theory & Algebra
by
ankitgupta.1729
Loyal
(
6.6k
points)

158
views
discretemathematics
groups
settheory&algebra
0
votes
0
answers
16
Self doubt Kenneth Rosen Algebraic structures
asked
Dec 3, 2017
in
Set Theory & Algebra
by
Jatin18
(
285
points)

65
views
groups
kennethrosen
discretemathematics
+2
votes
0
answers
17
Group Theory
Let G be a finite group.If A and B are subgroups of G with orders 4 and 5 respectively then A$\cap$B=......
asked
Nov 18, 2017
in
Set Theory & Algebra
by
junaid ahmad
Loyal
(
9k
points)

125
views
groups
discretemathematics
+3
votes
1
answer
18
Group Theory
Assume g is an element of the group.consider the following conditions of g with e as identity element. 1.g8=e 2.g2$\neq$e 3.Order of g is not 8. Find the order of g.
asked
Nov 18, 2017
in
Set Theory & Algebra
by
junaid ahmad
Loyal
(
9k
points)

148
views
discretemathematics
groups
0
votes
0
answers
19
Group Question
If a, b are elements of a group G, then (ba)1 =
asked
Nov 6, 2017
in
Discrete Mathematics
by
hem chandra joshi
Active
(
4.4k
points)

69
views
groups
+1
vote
2
answers
20
Maths: Group Theory
Que: Which one of the following is not true? a) In a group (G,*), if a*a = a, then a=e, where e is an identity element. b) In a group (G,*), if x1 = x, ∀x ∈ G, then G is an Abelian group. c) In a group (G,*), if (a*b)2 = (a2*b2) then G is an Abelian group. ... (G,*), if (a*b)n = (an*bn) then G is an Abelian group, where n={2, 3, 4, ......} PS: c) and d) seem correct to me.
asked
Nov 5, 2017
in
Set Theory & Algebra
by
Manu Thakur
Boss
(
39.8k
points)

244
views
discretemathematics
groups
abeliangroup
settheory&algebra
+1
vote
0
answers
21
testbook test series
asked
Nov 2, 2017
in
Set Theory & Algebra
by
rohit vishkarma
Junior
(
925
points)

61
views
groups
+1
vote
0
answers
22
Self Doubt
Let < G, * > be a finite group and let H1 and H2 be it's sub group as per lagrange theorem we know order of sub group divides order of group, my doubt is, is it possible that we can have multiple subgroup of same cardinality for a particular group ? $\left  H1 \right =\left  H2 \right $
asked
Oct 21, 2017
in
Set Theory & Algebra
by
Tesla!
Boss
(
16.2k
points)

62
views
groups
#grouptheory
#discrete
0
votes
0
answers
23
GROUPcongruence classes
State true or false 1)Let n be an integer,The set Zn of congruence classes of integers n with respect to operation of addition is a GROUP. 2)The set Zn* of nonzero congruence classes modulo of n, with respect to the operation of multiplication is NOT a GROUP, where n is a prime number.
asked
Sep 27, 2017
in
Mathematical Logic
by
reena_kandari
Loyal
(
7.6k
points)

62
views
discretemathematics
groups
+1
vote
1
answer
24
Gate CSE Web Link on Groups: Conceptual Doubt
asked
Aug 3, 2017
in
Set Theory & Algebra
by
meghashyamc
(
377
points)

83
views
groups
+1
vote
0
answers
25
group
what is the group in properties of closure properties in automata??
asked
Jun 26, 2017
in
Theory of Computation
by
akankshadewangan24
Active
(
4k
points)

41
views
groups
+2
votes
3
answers
26
[Discrete Maths] Group Theory
If the group has 40 elements and it has two subgroups namely h and k with order 10 and 20 then what can't be order of (h intersection k) a:)10 b:)20 c:)3 d:)1 e:) 4 My answer is both c and b and e. Is it correct?
asked
Jun 15, 2017
in
Mathematical Logic
by
rahul sharma 5
Boss
(
24.5k
points)

191
views
discretemathematics
groups
0
votes
0
answers
27
[Discrete maths ] Group theory
Let G be abelian, H and K subgroups of G with orders n, m. Then G has subgroup of order lcm(n,m) I have gone through prrof here: https://math.stackexchange.com/questions/465742/letgbeabelianhandksubgroupsoforders ... this assertion true. there are some existing examples where n divides G but there is no subgroup with that order.Please clear with explanation.
asked
Jun 13, 2017
in
Mathematical Logic
by
rahul sharma 5
Boss
(
24.5k
points)

161
views
discretemathematics
groups
abeliangroup
0
votes
0
answers
28
[Discrete maths] Group Theory
Can the following operation be used with a non empty set to represent a group? a*b=sqrt($a^{2}+b^{2}$) My doubt is,does this operation represents a function or do we include + sign both as output ?
asked
Jun 10, 2017
in
Mathematical Logic
by
rahul sharma 5
Boss
(
24.5k
points)

82
views
discretemathematics
groups
0
votes
2
answers
29
keneth r rosen discrete mathematics
the relation R is partial order on the set Z where, R is defined as, a R b iff a=2b. how to prove it.
asked
May 10, 2017
in
Set Theory & Algebra
by
iarnav
Loyal
(
7.9k
points)

179
views
groups
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