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Thompson subgroup

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

References

[1] J.G. Thompson, "A replacement theorem for -groups and a conjecture" J. Algebra , 13 (1969) pp. 149–151
[2] D. Gorenstein, "Finite groups" , Harper & Row (1968)


Comments

References

[a1] K. Doerk, T. Hawkes, "Finite soluble groups" , de Gruyter (1992) pp. 214
How to Cite This Entry:
Thompson subgroup. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Thompson_subgroup&oldid=16050
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