# Thompson subgroup

From Encyclopedia of Mathematics

2020 Mathematics Subject Classification: *Primary:* 20D25 [MSN][ZBL]

The characteristic subgroup of a $p$-group generated by all Abelian subgroups of maximal order. Introduced by J.G. Thompson [1].

#### References

[1] | J.G. Thompson, "A replacement theorem for $p$-groups and a conjecture" J. Algebra , 13 (1969) pp. 149–151 Zbl 0194.03902 |

[2] | D. Gorenstein, "Finite groups" , Harper & Row (1968) Zbl 0185.05701 |

[a1] | K. Doerk, T. Hawkes, "Finite soluble groups" , de Gruyter (1992) pp. 214 Zbl 0753.20001 |

**How to Cite This Entry:**

Thompson subgroup.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Thompson_subgroup&oldid=53678

This article was adapted from an original article by N.N. Vil'yams (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article