×
Dark, Rex S.; Newell, Martin L.

On 2-generator metabelian groups of prime-power exponent. (English) Zbl 0471.20026

Arch. Math. 37, 385-400 (1981).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0471.20026

Cited in 4 Documents

MSC:

20F50 Periodic groups; locally finite groups
20F16 Solvable groups, supersolvable groups
20F12 Commutator calculus

Keywords:

free 2-generator group; variety of metabelian groups; nilpotency class

Citations:

Zbl 0167.293
Cite Review PDF
Full Text: DOI

References:

[1] J. L. Alperin, A classification ofn-Abelian groups. Canad. J. Math.21, 1238-1244 (1969). · Zbl 0213.29901 · doi:10.4153/CJM-1969-136-1
[2] S. Bachmuth, H. A. Heilbronn andH. Y. Mochizuki, Burnside metabelian groups. Proc. Roy. Soc. London Ser. A307, 235-250 (1968). · Zbl 0167.29302 · doi:10.1098/rspa.1968.0187
[3] S. Bachmuth andH. Y. Mochizuki, The class of the free metabelian group with exponentp 2. Comm. Pure Appl. Math.21, 385-399 (1968). · Zbl 0176.29704 · doi:10.1002/cpa.3160210407
[4] R. A. Bryce, On metabelian groups of prime-power exponent. Proc. Roy. Soc. London Ser. A310, 393-399 (1969). · Zbl 0179.04304 · doi:10.1098/rspa.1969.0082
[5] G. Glaubermann, E. F. Krause andR. R. Struik, Engel congruences in groups of primepower exponent. Canad. J. Math.18, 579-588 (1966). · Zbl 0143.03802 · doi:10.4153/CJM-1966-056-3
[6] N. D. Gupta, M. F. Newman andS. J. Tobin, On metabelian groups of prime-power exponent. Proc. Roy. Soc. London Ser. A302, 237-242 (1968). · Zbl 0157.35002 · doi:10.1098/rspa.1968.0006
[7] H. Meier-Wunderli, Metabelsche Gruppen. Comment. Math. Helv.25, 1-10 (1951). · Zbl 0044.01505 · doi:10.1007/BF02566442
[8] D. J. S.Robinson, Finiteness conditions and generalized soluble groups. Berlin 1972. · Zbl 0243.20032
[9] I. N. Sanov, On systems of relations in periodic groups with prime-power periods (Russian). Izv. Akad. Nauk SSSR Ser. Mat.15, 477-502 (1951). · Zbl 0045.30203
[10] E.Weiss, Algebraic number theory. New York 1963. · Zbl 0115.03601
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.