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New posts in dihedral-groups
The center of the dihedral group [closed]
abstract-algebra
group-theory
dihedral-groups
Some Subgroup of Dihedral Group is Normal
abstract-algebra
group-theory
normal-subgroups
dihedral-groups
Showing ${\rm Aut}(D_{2^n})\cong{\rm Aut}(Q_{2^n})$ for $n\ge 4$.
group-theory
group-isomorphism
quaternions
automorphism-group
dihedral-groups
I need to determine the subgroups of the dihedral group of order 8, $D_4$.
group-theory
dihedral-groups
Let $n \geq 1$ be an odd integer. Show that $D_{2n}\cong \mathbb{Z}_2 \times D_n$.
abstract-algebra
group-theory
finite-groups
dihedral-groups
direct-product
Center of dihedral group
abstract-algebra
group-theory
dihedral-groups
Looking for a simple proof that groups of order $2p$ are up to isomorphism $\Bbb{Z}_{2p}$ and $D_p$ for prime $p>2$.
group-theory
finite-groups
cyclic-groups
group-isomorphism
dihedral-groups
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