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Licensed Unlicensed Requires Authentication Published by De Gruyter September 13, 2006

Symmetric groups and completions of the Goldschmidt amalgams of type G1

  • David M Bundy EMAIL logo and Peter J Rowley
From the journal Journal of Group Theory


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

© Walter de Gruyter

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