Simple modules over CC-groups and monolithic just non-CC-groups

L. A. Kurdachenko; J. Otal

Bollettino dell'Unione Matematica Italiana (2001)

  • Volume: 4-B, Issue: 2, page 381-390
  • ISSN: 0392-4041

How to cite

top

Kurdachenko, L. A., and Otal, J.. "Simple modules over CC-groups and monolithic just non-CC-groups." Bollettino dell'Unione Matematica Italiana 4-B.2 (2001): 381-390. <http://eudml.org/doc/196217>.

@article{Kurdachenko2001,
author = {Kurdachenko, L. A., Otal, J.},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {Chernikov groups; FC-centers; minimax subgroups; Fitting subgroups; FC-groups; CC-groups; JNCC-groups; monolithic groups; faithful simple modules},
language = {eng},
month = {6},
number = {2},
pages = {381-390},
publisher = {Unione Matematica Italiana},
title = {Simple modules over CC-groups and monolithic just non-CC-groups},
url = {http://eudml.org/doc/196217},
volume = {4-B},
year = {2001},
}

TY - JOUR
AU - Kurdachenko, L. A.
AU - Otal, J.
TI - Simple modules over CC-groups and monolithic just non-CC-groups
JO - Bollettino dell'Unione Matematica Italiana
DA - 2001/6//
PB - Unione Matematica Italiana
VL - 4-B
IS - 2
SP - 381
EP - 390
LA - eng
KW - Chernikov groups; FC-centers; minimax subgroups; Fitting subgroups; FC-groups; CC-groups; JNCC-groups; monolithic groups; faithful simple modules
UR - http://eudml.org/doc/196217
ER -

References

top
  1. BAER, R., Irreducible groups of automorphisms of abelian groups, Pacific J. Math., 14 (1994), 385-406. Zbl0126.04901MR165019
  2. DOERK, K.- HAWKES, T., Finite soluble groups, de Gruyter, Berlin, 1992. Zbl0753.20001MR1169099
  3. FRANCIOSI, S.- DE GIOVANNI, F., Soluble groups with many Chernikov quotients, Atti Ac. Naz. Lincei (8), 79 (1985), 12-24. Zbl0639.20020MR944386
  4. FRANCIOSI, S.- DE GIOVANNI, F.- KURDACHENKO, L. A., Groups whose proper quotients are FC-groups, J. Algebra, 186 (1996), 544-577. Zbl0866.20030MR1423275
  5. FRANCIOSI, S.- DE GIOVANNI, F.- TOMKINSON, M. J., Groups with Chernikov conjugacy classes, J. Austral. Math. Soc. Ser A, 50 (1991), 1-14. Zbl0748.20025MR1094054
  6. GROVES, J. R. J., Soluble groups with every proper quotient polycyclic, Illinois J. Math., 22 (1978), 90-95. Zbl0366.20017MR474887
  7. HALL, P., On the finiteness of certain soluble groups, Proc. London Math. Soc., 9 (1959), 595-622. Zbl0091.02501MR110750
  8. HARTLEY, B.- MCDOUGALL, D., Injective modules and soluble groups satisfying the minimal condition for normal subgroups, Bull. Austral. Math. Soc., 4 (1971), 113-135. Zbl0206.03101MR276320
  9. KURDACHENKO, L. A., Some classes of groups with the weak minimal and maximal conditions, Ukrainian Math. j., 42 (1990), 937-942. Zbl0719.20014MR1078821
  10. KURDACHENKO, L. A.- OTAL, J., Groups whose proper factors have Chernikov conjugacy classes, to appear. 
  11. LANDOLFI, T., On generalized central series of groups, Ricerche Mat., 44 (1995), 337-347. Zbl0918.20024MR1469705
  12. MCCARTHY, D., Infinite groups whose proper quotients are finite, Comm. Pure Applied Math., 21 (1968), 545-562. Zbl0157.05501MR237637
  13. MCCARTHY, D., Infinite groups whose proper quotients are finite, Comm. Pure Applied Math., 23 (1970), 767-789. Zbl0196.04404MR265466
  14. NEWMAN, M. F., On a class of metabelian groups, Proc. London. Math. Soc., 10 (1960), 354-364. Zbl0099.25202MR117293
  15. NEWMAN, M. F., On a class of nilpotent groups, Proc. London. Math. Soc., 10 (1960), 365-375. Zbl0099.25203MR120278
  16. POLOVITSKY, A. D., Groups with extremal classes of conjugate elements, Siberian Math. J., 5 (1964), 891-895. MR168658
  17. ROBINSON, D. J. S., Finiteness conditions and generalized soluble groups, Ergebnisse der mathematik bands 62-63, Springer-Verlag, Berlin, 1972. Zbl0243.20032
  18. ROBINSON, D. J. S., The vanishing of certain homology and cohomology groups, J. Pure and Applied Algebra, 2 (1976), 145-167. Zbl0329.20032MR404478
  19. ROBINSON, D. J. S.- WILSON, J. S., Soluble groups with many polycyclic quotients, Proc. London Math. Soc. (3), 48 (1984), 193-229. Zbl0505.20023MR729068
  20. ROBINSON, D. J. S.- ZHANG, Z., Groups whose proper quotients have finite derived group, J. Algebra, 118 (1988), 346-368. Zbl0658.20019MR969677
  21. WILSON, J. S., Some properties of groups inherited by normal subgroups of finite index, Math. Z., 114 (1970), 19-21. MR258932
  22. WILSON, J. S., Groups with every proper quotient finite, Proc. Cambridge Phil. Soc., 69 (1971), 373-391. Zbl0216.08803MR274575
  23. ZAITSEV, D. I., On the existence of direct complements in groups with operators, Investigations in group theory, Math. Inst. Kiev (1976), 26-44. Zbl0416.20020MR476879
  24. ZAITSEV, D. I., Products of abelian groups, Algebra and Logic, 19 (1980), 94-106. Zbl0466.20012MR604664

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.