Kessar, R. and Linckelmann, M. (2003).
A block theoretic analogue of a theorem of Glauberman and Thompson.
*Proceedings of the American Mathematical Society*, 131(1),
pp. 35-40.

## Abstract

If p is an odd prime, G a finite group and P a Sylow-p-subgroup of G, a theorem of Glauberman and Thompson states that G is p-nilpotent if and only if NG(Z(J(P))) is p-nilpotent, where J(P) is the Thompson subgroup of P generated by all abelian subgroups of P of maximal order. Following a suggestion of G. R. Robinson, we prove a block-theoretic analogue of this theorem.

Publication Type: | Article |
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Subjects: | Q Science > QA Mathematics |

Departments: | School of Mathematics, Computer Science & Engineering > Mathematics |

URI: | https://openaccess.city.ac.uk/id/eprint/1893 |

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