Assertion: group's subgroup | /r/HasProperty | cyclic
Facets:
value: virtually
type: MANNER
value: more generally
type: DEGREE
Source sentences:
text: A cyclic group is a group which is equal to one of its cyclic subgroups: G =
text: Sign representations with i,j,k-kernel: Q 8 has three maximal normal subgroups: the cyclic subgroups generated by i, j, and k respectively.
text: p. More generally, every finite subgroup of the multiplicative group of any field is cyclic.
text: All subgroups and quotient groups of cyclic groups are cyclic.
text: finite index n. Every abelian subgroup of a Gromov hyperbolic group is virtually cyclic.
text: Every finite subgroup of a cyclically ordered group is cyclic.
text: The generalized quaternion groups have the property that every abelian subgroup is cyclic.