You are here: Home :: Area NEM :: Mathematics :: Set theory

David M Bundy, Peter J Rowley

Symmetric groups and completions of the Goldschmidt amalgams of type G₁

It is shown that, with only a few small exceptions, any finite symmetric group is a faithful completion of the Goldschmidt amalgams of type G₁¹, G₁², and G₁³. A recursive procedure is used to ‘add’ copies of small completions, in particular that of Sym(9), to obtain nine infinite series of completions isomorphic to symmetric groups.

Journal of Group Theory, Walter de Gruyter

Print ISSN: 1433-5883
Volume: 9, 09/2006
Pages: 627 - 640

Show full article (external site)

Show all available items of this journal

 

Area NEM