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Embedding into groups with well-described lattices of subgroups
Published online by Cambridge University Press: 17 April 2009
Abstract
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
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