# N be a fixed integer, let H={x∈G: x=y^2 for some y∈G}; H is the set of elements in G that have square roots. Prove H is a subgroup of G.?

• N be a fixed integer, let H={x∈G: x=y^2 for some y∈G}; H is the set of elements in G that have square roots. Prove H is a subgroup of G.?

Let H be a subgroup of the group G. ... Find a subgroup of S 7 that contains 12 elements. You do not have ... Let G be an abelian group, and let n be a ...
Positive: 61 %
Home page for Math 250: Higher Algebra (2001 ... Every subfield E of K that contains F is of the form K H for some subgroup H of G, ... Let N g be the ...
Positive: 58 %

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Let G be a group and let a ∈ G. If ak = 1 for some k ... cosets have exactly |H| number of elements. ... of the subgroup H = hai. By Lagrange’s Theorem ...
Positive: 61 %
This problem has some elements of each. ... = 1 then h(x) = g(x) and if g(x) = 1 then h(x) ... Lets test this by trying to generate h(x) from a new f(x ...
Positive: 56 %
Which\$elements\$have\$an\$inverse\$in\$\$\$\$\$?\$ \$ ... Compung\$ e’th\$roots\$mod\$N\$\$??\$ Let\$N\$\$be\$acomposite\$number\$and\$e>1\$ \$ ... deﬁne\$\$\$\$\$ H(x,y)*= gx* ...