---
tag: 2ME7E6EHZQ
kind: concept
name: Generalized symmetric group
sources:
  - wikipedia: en:25186376@r1308685571
    locator: Generalized symmetric group
    note: adopted
    mention: wikipedia://en/25186376
    sections: [Summary]
same_as:
  wikidata: Q5532515
  wikipedia: Generalized symmetric group
inventory: [P6MCC7NWEP]
---

## Summary

In mathematics, the **generalized symmetric group** is the wreath product $S(m,n) := C_m \wr S_n$ of the [[cyclic group|0B85Q41RP6]] of [[order|0B85S2V2DR]] *m* and the [[symmetric group|0515A6D2Y1]] of order *n*.