Soluble products of nilpotent groups

John C. Lennox; Derek J. S. Robinson

Rendiconti del Seminario Matematico della Università di Padova (1980)

  • Volume: 62, page 261-280
  • ISSN: 0041-8994

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Lennox, John C., and Robinson, Derek J. S.. "Soluble products of nilpotent groups." Rendiconti del Seminario Matematico della Università di Padova 62 (1980): 261-280. <http://eudml.org/doc/107752>.

@article{Lennox1980,
author = {Lennox, John C., Robinson, Derek J. S.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {supersoluble groups; product of permutable nilpotent subgroups; Hirsch length; embedding theorem; polycyclic groups; soluble groups of finite total rank},
language = {eng},
pages = {261-280},
publisher = {Seminario Matematico of the University of Padua},
title = {Soluble products of nilpotent groups},
url = {http://eudml.org/doc/107752},
volume = {62},
year = {1980},
}

TY - JOUR
AU - Lennox, John C.
AU - Robinson, Derek J. S.
TI - Soluble products of nilpotent groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1980
PB - Seminario Matematico of the University of Padua
VL - 62
SP - 261
EP - 280
LA - eng
KW - supersoluble groups; product of permutable nilpotent subgroups; Hirsch length; embedding theorem; polycyclic groups; soluble groups of finite total rank
UR - http://eudml.org/doc/107752
ER -

References

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  1. [1] B. Amberg, Factorizations of infinite soluble groups, Rocky Mountain J. Math., 7 (1977), pp. 1-17. Zbl0364.20037MR430077
  2. [2] B. Hartley - M. J. TOMKINSON, Splitting over nilpotent and hypercentral residuals, Math. Proc. Camb. Philos. Soc., 78 (1975), pp. 215-226. Zbl0309.20008MR382453
  3. [3] J.C. Lennox - J.E. Roseblade, Soluble products of polycyclic groups, to appear. Zbl0411.20019MR562584
  4. [4] H. Neumann, Varieties of Groups, Springer, Berlin, 1967. Zbl0251.20001MR215898
  5. [5] D.J.S. Robinson, Finiteness Conditions and Generalized Soluble Groups, Springer, Berlin, 1972. Zbl0243.20032
  6. [6] D.J.S. Robinson, Splitting theorems for infinite groups, Symposia Math., 17 (1976), pp. 441-470. Zbl0442.20028MR407153
  7. [7] D.J.S. Robinson, The vanishing of certain homology and cohomology groups, J. Pure and Appl. Algebra, 7 (1976), pp. 145-167. Zbl0329.20032MR404478
  8. [8] D.I. Zai, Soluble groups of finite rank, Algebra i Logika, 16 (1977), pp. 300-312; Algebra and Logic, 16 (1977), pp. 199-207. MR516030

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