Normal embeddings of p-groups into p-groups

Hermann Heineken
1992 Proceedings of the Edinburgh Mathematical Society  
A well known lemma of Burnside is generalised, to give necessary and sufficient conditions for a finite p-group K to be normally embedded in a nilpotent group V, with Ksco(K). (Here, u> denotes a single word and co(V) is the corresponding verbal subgroup.) Our main result is related to earlier work of Blackburn, Gaschutz and Hobby. 1980 Mathematics subject classification (1985 Revision). 20D15, 20E22.
doi:10.1017/s0013091500005575 fatcat:egccneqwg5dk5diri6424lsfpm