Assertion: cyclic group | /r/HasProperty | isomorphic
Facets:
value: to z
type: OTHER
value: to this group
type: OTHER
value: to z.
type: OTHER
Source sentences:
text: Any cyclic group with n elements is isomorphic to this group.
text: An infinite cyclic group is isomorphic to (Z, +), the group of integers under addition introduced above.
text: Every infinite cyclic group is isomorphic to the additive group of Z, the integers.
text: Every infinite cyclic group is isomorphic to Z.
text: and it follows for all cyclic groups since they are all isomorphic to these standard groups.