Burns, R. G.; Okoh, Frank; Smith, Howard; Wiegold, James On the number of normal subgroups of an uncountable soluble group. (English) Zbl 0528.20001 Arch. Math. 42, 289-295 (1984). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 7 Documents MSC: 20A15 Applications of logic to group theory 20E15 Chains and lattices of subgroups, subnormal subgroups 20F16 Solvable groups, supersolvable groups 20E07 Subgroup theorems; subgroup growth 13E05 Commutative Noetherian rings and modules Keywords:number of submodules; uncountable abelian-by-polycyclic group; metabelian groups; uncountable cardinality; number of normal subgroups Citations:Zbl 0356.20030; Zbl 0469.20016 PDFBibTeX XMLCite \textit{R. G. Burns} et al., Arch. Math. 42, 289--295 (1984; Zbl 0528.20001) Full Text: DOI References: [1] G. Behrendt andP. M. Neumann, On the number of normal subgroups of an infinite group. J. London Math. Soc. (2)23, 429-432 (1981). · Zbl 0469.20016 · doi:10.1112/jlms/s2-23.3.429 [2] B. Hartley, Uncountable Artinian modules and uncountable soluble groups satisfying Min-n. Proc. London Math. Soc. (3)35, 55-75 (1977). · Zbl 0356.20030 · doi:10.1112/plms/s3-35.1.55 [3] J.Steprans, The number of submodules. Proc. London Math. Soc. (to appear). · Zbl 0916.03033 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.