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Journal of the London Mathematical Society 2000 62(2):398-406; doi:10.1112/S0024610700001113
© 2000 by London Mathematical Society
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© The London Mathematical Society

Subnormal Embedding Theorems for Groups

Vahagn H. Mikaelian

Mathematisches Institut, Universität Würzburg Am Hubland, D-97074 Würzburg, Germany, vahagn{at}mikael.arminco.com, vahagn.mikaelian{at}mail.uni-wuerzburg.de

Received 18 June 1998. Revision received 30 July 1999.

Some subnormal embeddings of groups into groups with additional properties are established, and in particular, embeddings of countable groups into two-generated groups with some extra properties. The results obtained are generalizations of theorems of P. Hall, R. Dark, B. Neumann, H. Neumann and G. Higman on embeddings of that type. Through the consideration of subnormal embeddings of finite groups into finite groups with additional properties, a result of H. Heineken and J. Lennox is illustrated.


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