Kessar, R. & Linckelmann, M. (2003). A block theoretic analogue of a theorem of Glauberman and Thompson. Proceedings of the American Mathematical Society, 131(1), pp. 3540.

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Abstract
If p is an odd prime, G a finite group and P a Sylowpsubgroup of G, a theorem of Glauberman and Thompson states that G is pnilpotent if and only if NG(Z(J(P))) is pnilpotent, 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 blocktheoretic analogue of this theorem.
Item Type:  Article 

Subjects:  Q Science > QA Mathematics 
Divisions:  School of Engineering & Mathematical Sciences > Department of Mathematical Science 
URI:  http://openaccess.city.ac.uk/id/eprint/1893 
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