Symmetric groups and completions of the Goldschmidt amalgams of type G1

David M Bundy; Peter J Rowley

doi:10.1515/JGT.2006.040

Published by De Gruyter September 13, 2006

Symmetric groups and completions of the Goldschmidt amalgams of type G₁

David M Bundy and Peter J Rowley

From the journal Journal of Group Theory

https://doi.org/10.1515/JGT.2006.040

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Abstract

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.

(Communicated by C. W. Parker)

Received: 2005-08-13

Published Online: 2006-09-13

Published in Print: 2006-09-01

Symmetric groups and completions of the Goldschmidt amalgams of type G₁

Abstract

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