[Discrete maths] Group Theory

rahul sharma 5 asked Jun 10, 2017

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rahul sharma 5 asked Jun 15, 2017

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[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?

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:)10b:)20c:)3d:)1e:) 4My answer i...

rahul sharma 5

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rahul sharma 5 asked Jun 15, 2017

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rahul sharma 5 asked Jun 13, 2017

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[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/let-g-be-abelian-h-and-k-subgroups-of-orders ... this assertion true. there are some existing examples where n divides G but there is no subgroup with that order.Please clear with explanation.

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/...

rahul sharma 5

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rahul sharma 5 asked Jun 13, 2017

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rahul sharma 5 asked Feb 3, 2017

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Group Theory discrete maths
A={1,2,3,4,5,6} Given that set A is a group with respect to multiplication mod 7.Is A a cyclic group?If yes,identify the generators. Is there any theorem that i cana pply here to solve without building operation table?

A={1,2,3,4,5,6}Given that set A is a group with respect to multiplication mod 7.Is A a cyclic group?If yes,identify the generators.Is there any theorem that i cana pply h...

rahul sharma 5

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rahul sharma 5 asked Feb 3, 2017

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Manu Thakur asked Nov 5, 2017

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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 x-1 = 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.

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 x-1 = x, ∀x ∈ G, then G...

Manu Thakur

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Manu Thakur asked Nov 5, 2017

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[Discrete maths] Group Theory

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