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Embedding into groups with well-described lattices of subgroups

Published online by Cambridge University Press:  17 April 2009

Viatcheslav N. Obraztsov
Viatcheslav N. Obraztsov
Affiliation:
Department of Mathematics, The University of Melbourne, Parkville, Vic 3052, Australia
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Abstract

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A thrifty embedding scheme of an arbitrary set of groups in a simple infinite group with a given outer automorphism group is presented. One of the applications of this scheme is the existence (assuming CH) of an uncountable group G in which all proper subgroups are countable such that G contains every countable group.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 54 , Issue 2 , October 1996 , pp. 221 - 240
Copyright
Copyright © Australian Mathematical Society 1996

References

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