Soluble Groups with Many Černikov Quotients

Silvana Franciosi; Francesco de Giovanni

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1985)

  • Volume: 79, Issue: 1-4, page 19-24
  • ISSN: 1120-6330

How to cite

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Franciosi, Silvana, and de Giovanni, Francesco. "Soluble Groups with Many Černikov Quotients." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 79.1-4 (1985): 19-24. <http://eudml.org/doc/287323>.

@article{Franciosi1985,
author = {Franciosi, Silvana, de Giovanni, Francesco},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {minimum condition on subgroups; soluble just-non-Chernikov groups; split extension; finite soluble group; faithful just non-Artinian Q-module},
language = {eng},
month = {7},
number = {1-4},
pages = {19-24},
publisher = {Accademia Nazionale dei Lincei},
title = {Soluble Groups with Many Černikov Quotients},
url = {http://eudml.org/doc/287323},
volume = {79},
year = {1985},
}

TY - JOUR
AU - Franciosi, Silvana
AU - de Giovanni, Francesco
TI - Soluble Groups with Many Černikov Quotients
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1985/7//
PB - Accademia Nazionale dei Lincei
VL - 79
IS - 1-4
SP - 19
EP - 24
LA - eng
KW - minimum condition on subgroups; soluble just-non-Chernikov groups; split extension; finite soluble group; faithful just non-Artinian Q-module
UR - http://eudml.org/doc/287323
ER -

References

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  1. FUCHS, L. (1970-73) - Infinite Abelian Groups, Academic Press, New York-London. Zbl0209.05503MR255673
  2. GROVES, J.R.J. (1978) - Soluble groups with every proper quotient polycyclic, «Illinois J. Math.», 22, 90-95. Zbl0366.20017MR474887
  3. McCARTHY, D. (1968) - Infinite groups whose proper quotient groups are finite I «Comm. Pure Appl. Math.», 21, 545-562. Zbl0157.05501MR237637
  4. ROBINSON, D.J.S. (1968) - Residual properties of some classes of infinite soluble groups, «Proc. London Math. Soc.», (3) 18, 495-520. Zbl0157.05402MR228586
  5. ROBINSON, D.J.S. (1972) - Finiteness Conditions and Generalized Soluble Groups, Springer, Berlin. 
  6. ROBINSON, D.J.S. (1976) - The vanishing of certain homology and cohomology groups, «J. Pure Appl. Algebra», 7, 145-167. Zbl0329.20032MR404478
  7. ROBINSON, D.J.S. and WILSON, J.S. (1984) - Soluble groups with many polycyclic quotients, «Proc. London Math. Soc.», (3) 48, 193-229. Zbl0505.20023MR729068DOI10.1112/plms/s3-48.2.193
  8. WILSON, J.S. (1971) - Groups with every proper quotient finite, «Proc. Cambridge Philos. Soc.», 69, 373-392. Zbl0216.08803MR274575

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