Cyclic Groups

The associative law holds in all groups

• Yes

• No

Every subgroup of a cyclic group is cyclic

• True

• False

There may be a group in which the cancellationf law fails

• True

• False

Every group is a subgroup of itself

• True

• False

Every subset of every group is a subgroup under the induced operation

• True

• False

A cyclic group has a unique generator

• True

• False

In every cyclic group, every element is a generator

• True

• False

Every cyclic group is abelian

• True

• False