# Mixed group

From Encyclopedia of Mathematics

A group that contains both elements of infinite order and elements of finite order other than the unit element (see Order of an element of a group).

#### Comments

This terminology is not very common.

#### References

[a1] | A.G. Kurosh, "The theory of groups" , 1–2 , Chelsea (1955–1956) (Translated from Russian) |

**How to Cite This Entry:**

Mixed group. O.A. Ivanova (originator),

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Mixed_group&oldid=19206

This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098