Thompson subgroup

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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].


[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:
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