query: Is the dihedral group of order 8 the group of units of some ring?
positive_passages.docid: 61391
positive_passages.text: Which finite groups are the group of units of some ring?
negative_passages.docid: 34067
negative_passages.text: Is there a general formula for finding all subgroups of dihedral groups?
negative_passages.docid: 26398
negative_passages.text: Group of even order contains an element of order 2
negative_passages.docid: 157145
negative_passages.text: Subgroup of $S_8$ isomorphic to $G$
negative_passages.docid: 39938
negative_passages.text: Subgroups of a cyclic group and their order.
negative_passages.docid: 138383
negative_passages.text: group of units in a topological ring
negative_passages.docid: 29736
negative_passages.text: Sylow Subgroups of a Dihedral Group
negative_passages.docid: 6358
negative_passages.text: What is the group structure of 3-adic group of the cubes of units?
negative_passages.docid: 37351
negative_passages.text: Group of Order $p^2$ Isomorphic to $\mathbb{Z}_{p^2}$ or $\mathbb{Z}_{p}$ $\times$ $\mathbb{Z}_{p}$
negative_passages.docid: 83654
negative_passages.text: Order of an element in a finite cyclic group
negative_passages.docid: 111824
negative_passages.text: Sum of nilpotent and element is a unit in ring?
negative_passages.docid: 68728
negative_passages.text: Why does the natural ring homomorphism induce a surjective group homomorphism of units?
negative_passages.docid: 33728
negative_passages.text: Basis for Center of Group Ring
negative_passages.docid: 27507
negative_passages.text: Subgroups of Symmetric groups isomorphic to dihedral group
negative_passages.docid: 54236
negative_passages.text: Does every Abelian group admit a ring structure?
negative_passages.docid: 129789
negative_passages.text: Find all Quotient (or Factor) Groups of $D_4$ (Dihedral Group of order $8$)
negative_passages.docid: 96123
negative_passages.text: Element of maximal order in alternating group $A_{10}$: how to prove this is it?