Groups with minimal conditions related to finiteness properties on conjugacy classes

Javier Otal; Juan Manuel Peña

Rendiconti del Seminario Matematico della Università di Padova (1989)

  • Volume: 81, page 79-84
  • ISSN: 0041-8994

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Otal, Javier, and Peña, Juan Manuel. "Groups with minimal conditions related to finiteness properties on conjugacy classes." Rendiconti del Seminario Matematico della Università di Padova 81 (1989): 79-84. <http://eudml.org/doc/108148>.

@article{Otal1989,
author = {Otal, Javier, Peña, Juan Manuel},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {CC-group; groups with finite layers; minimal non-FC-group; groups with Chernikov layers; CL-groups; Chernikov-by-abelian groups; locally graded group; minimal non-FL-groups},
language = {eng},
pages = {79-84},
publisher = {Seminario Matematico of the University of Padua},
title = {Groups with minimal conditions related to finiteness properties on conjugacy classes},
url = {http://eudml.org/doc/108148},
volume = {81},
year = {1989},
}

TY - JOUR
AU - Otal, Javier
AU - Peña, Juan Manuel
TI - Groups with minimal conditions related to finiteness properties on conjugacy classes
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1989
PB - Seminario Matematico of the University of Padua
VL - 81
SP - 79
EP - 84
LA - eng
KW - CC-group; groups with finite layers; minimal non-FC-group; groups with Chernikov layers; CL-groups; Chernikov-by-abelian groups; locally graded group; minimal non-FL-groups
UR - http://eudml.org/doc/108148
ER -

References

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  1. [1] J. Alcazar - J. OTAL, Sylow subgroups of groups with Cernikov conjugacy classes, J. Algebra, 110 (1987), pp. 507-513. Zbl0624.20026MR910399
  2. [2] V.V. Belyaev, Groups of Miller-Moreno type, Siberian Math. J., 19 (1978), pp. 350-360. Zbl0409.20027MR577067
  3. [3] V.V. Belyaev - N.F. Sesekin, Infinite groups of Miller-Moreno type, Acta Math. Acad. Hungar., 26 (1975), pp. 369-376. Zbl0335.20013MR404457
  4. [4] B. Bruno - R. E. PHILLIPS, Minimal non FC-groups, Abstracts Amer. Math. Soc., 2 (1980), p. 565. 
  5. [5] B. Bruno - R. E. PHILLIPS, On minimal conditions related to Miller-Moreno type groups, Rend. Sem. Mat. Univ. Padova, 69 (1983), pp. 153-168. Zbl0522.20022MR716991
  6. [6] O.H. Kegel - B. A. F. WEHRFRUTZ, Locally finite groups, North Holland, Amsterdam (1973). Zbl0259.20001
  7. [7] A. Yu.OL'SANSKII, Infinite groups with cyclic subgroups, Soviet Math. Dokl., 20 (1979), pp. 343-346. Zbl0431.20025
  8. [8] J. Otal - J. M. PEÑA, Minimal non CC-groups, Comm. Algebra, 16 (1988), pp. 1231-1242. Zbl0644.20025MR939041
  9. [9] J. Otal - J. M. PEÑA, Groups in which every proper subgroup is Cernikov-by-nilpotent or nilpotent-by-Cernikov, Arch. Math., 51 (1988), pp. 193-197. Zbl0632.20018MR960393
  10. [10] D.J.S. Robinson, Finiteness conditions and generalized soluble groups, Springer-Verlag, Berlin (1972). Zbl0243.20032
  11. [11] M.J. Tomkinson, FC-groups, Pitman, London (1984). Zbl0547.20031MR742777

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