Template:Element structure of cyclic group of prime order
This article gives specific information, namely, element structure, about a particular group, namely: cyclic group:Z{{{1}}}.
View element structure of particular groups | View other specific information about cyclic group:Z{{{1}}}
This article describes the structure of elements of the [[cyclic group:Z{{{1}}}]], which is given by the following presentation:
{{{3}}}
Here, denotes the identity element.
Summary
| Item | Value |
|---|---|
| order of the whole group (total number of elements) | {{{1}}} |
| conjugacy class sizes | {{{1}}} of size 1 maximum: 1, number of conjugacy classes: {{{1}}}, lcm: 1 |
| order statistics | 1 of order 1, {{{2}}} of order {{{1}}} maximum: {{{1}}}, lcm (exponent of the whole group): {{{1}}} |