Large soluble groups and the control of embedding properties | SpringerLink Skip to main
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It is known that a (generalized) soluble group whose proper subgroups of infinite rank are
abelian either is abelian or has finite rank. It is proved here that if G is a group of infinite rank …

A well-known theorem of BH Neumann states that a group has finite conjugacy classes of
subgroups if and only if it is central-by-finite. It is proved here that if G is a generalized …

The aim of this paper is to investigate the behaviour of uncountable groups of regular
cardinality ℵ in which all proper subgroups of cardinality ℵ belong to a given group class X …

A group G is called a T-group if all its subnormal subgroups are normal, and G is a ̄ TT¯-
group if every subgroup of G has the property T. It is proved here that if G is a locally soluble …

A group is called a T-group if all its subnormal subgroups are normal. It is proved here that if
G is a periodic (generalized) soluble group in which all subnormal subgroups of infinite rank …

On metahamiltonian groups of infinite rank - ScienceDirect Skip to main contentSkip to article
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A note on groups of infinite rank whose proper subgroups are abelian-by-finite × Close The
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It is proved that if GG is a strongly locally graded group of infinite rank whose proper
subgroups of infinite rank are (locally finite)-by-nilpotent, then GG itself is (locally finite)-by …

Groups satisfying certain rank conditions Page 1 Algebra and Discrete Mathematics SURVEY
ARTICLE Volume 22 (2016). Number 2, pp. 184–200 © Journal “Algebra and Discrete …