Odd-order cyclic group

This page describes a group property obtained as a conjunction (AND) of two (or more) more fundamental group properties: cyclic group and odd-order group
View other group property conjunctions OR view all group properties

Definition

An odd-order cyclic group is defined as a cyclic group that is also an odd-order group: its order is an odd integer.

Facts

• Odd-order cyclic group equals commutator subgroup of holomorph
• Snevily's conjecture for cyclic groups