NDLI: On quotients of certain countable groups

Content Provider	Scilit
Author	Pride, Stephen J.
Copyright Year	1977
Description	A group A is said to be SQ-universal if every countable group is embeddable in some quotient of A. It is well-known that the number of non-isomorphic factor groups of a countable sp-universal group B is the power of the continuum. Since B has such an abundance of non-isomorphic quotients it is natural to ask what types of quotients B must have and what types B need not have. This note is concerned with these questions.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/EEB59A779A9BEEF6B57D3300C9BBAB55/S0004972700023236a.pdf/div-class-title-on-quotients-of-certain-countable-groups-div.pdf
Ending Page	228
Page Count	4
Starting Page	225
ISSN	00049727
e-ISSN	17551633
DOI	10.1017/s0004972700023236
Journal	Bulletin of the Australian Mathematical Society
Issue Number	2
Volume Number	16
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	1977-04-01
Access Restriction	Open
Subject Keyword	Bulletin of the Australian Mathematical Society History and Philosophy of Science
Content Type	Text
Resource Type	Article
Subject	Mathematics

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On quotients of certain countable groups