Help Understanding Why $D_{10} = C_2$ $\times$ $D_5$
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Let $n \geq 1$ be an odd integer. Show that $D_{2n}\cong \mathbb{Z}_2 \times D_n$.
128060
Proof that the relation $5 \mid (a + 4b)$ is symmetric and transitive
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$2 \times 2 $ Orthogonal Group
104549
When $d \mid n$, the number of elements of order $d$ in a cyclic subgroup of order $n$ is $\phi (d)$
86922
Ring with 10 elements is isomorphic to $\mathbb{Z}/10 \mathbb{Z} $
134687
Is there a more elegant way of proving $\langle (1,2)(3,4), (1,2,3,4,5) \rangle = A_5$
157155
How is HCF (c, d) = HCF (d, r), where c = dq +r (by Euclid's division lemma)?
115876
$D_6 \cong D_3\times \mathbb Z_2$
61709
Compute factor group $\dfrac{\mathbb{Z}_4 \times \mathbb{Z}_6}{\langle(2,3)\rangle}$ - Fraleigh p. 147 Example 15.11
149294
How do i prove how $S_5$ is generated by a two cycle and a five cycle?
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GCD( LCM(a,b) , LCM(a,c) ) = LCM(b, GCD(b,c)) , why?
53751
Prove that $2^{10}+5^{12}$ is composite
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Elements of order 2 in $D_{2n}$
111814
Precise connection between complexification of $\mathfrak{su}(2)$, $\mathfrak{so}(1,3)$ and $\mathfrak{sl}(2, \mathbb{C})$
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Expanding GCDs Reasoning: $\gcd(a,c) \cdot \gcd(b,c) = \gcd(ab,bc,ac,cc)$
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Isomorphisms between the groups $U(10), U(5)$ and $\mathbb{Z}/4\mathbb{Z}$
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How to show $\gcd(ac, bd) = \gcd(a,d) * \gcd(b,c)$