On minimal conditions related to Miller-Moreno type groups

Brunella Bruno; Richard E. Phillips

Rendiconti del Seminario Matematico della Università di Padova (1983)

  • Volume: 69, page 153-168
  • ISSN: 0041-8994

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Bruno, Brunella, and Phillips, Richard E.. "On minimal conditions related to Miller-Moreno type groups." Rendiconti del Seminario Matematico della Università di Padova 69 (1983): 153-168. <http://eudml.org/doc/107888>.

@article{Bruno1983,
author = {Bruno, Brunella, Phillips, Richard E.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {minimal conditions; finitely generated subgroup; locally graded group; decreasing chain of subgroups; lower central series; Chernikov group; locally finite groups},
language = {eng},
pages = {153-168},
publisher = {Seminario Matematico of the University of Padua},
title = {On minimal conditions related to Miller-Moreno type groups},
url = {http://eudml.org/doc/107888},
volume = {69},
year = {1983},
}

TY - JOUR
AU - Bruno, Brunella
AU - Phillips, Richard E.
TI - On minimal conditions related to Miller-Moreno type groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1983
PB - Seminario Matematico of the University of Padua
VL - 69
SP - 153
EP - 168
LA - eng
KW - minimal conditions; finitely generated subgroup; locally graded group; decreasing chain of subgroups; lower central series; Chernikov group; locally finite groups
UR - http://eudml.org/doc/107888
ER -

References

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  1. [1] V.V. Belyaev, Groups of Miller-Moreno type, Sibirsk Mat. J., 19 (3) (1978), pp. 509-514. Zbl0394.20025MR577067
  2. [2] V.V. Belyaev - N.F. Sesekin, Infinite groups of Miller-Moreno type, Acta Math. Acad. Hungar., 26 (1975), pp. 369-376. Zbl0335.20013MR404457
  3. [3] B. Bruno - R. E. PHILLIPS, Groups with restricted non-normal subgroupsMath. Z., 176 (1981), pp. 199-221. Zbl0474.20014MR607962
  4. [4] B. Bruno, Groups with Abelian-by-finite proper subgroups, to appear. Zbl0563.20035MR774478
  5. [5] R.W. Carter, Simple Groups of Lie Type, John Wiley and Sons, New York (1972). Zbl0723.20006MR407163
  6. [6] S.N. Černikov, On investigations of groups with properties prescribed on their subgroups, Ukrain. Mat. Ž., 21 (1969), pp. 193-209. MR252492
  7. [7] D. Gorenstein, Finite Groups, Harper and Row Publ., New York (1968). Zbl0185.05701MR231903
  8. [8] B. Hartley, A dual approach to Černikov modules, Math. Proc. Cambridge Philos. Soc., 82 (1977), pp. 215-239. Zbl0365.20047MR498815
  9. [9] H. Heineken - I.J. Mohamed, A group with trivial center satisfying the normalizer condition, J. Algebra, 10 (1968), pp. 368-376. Zbl0167.29001MR235035
  10. [10] O. Kegel - B. A. F. WEHRFRITZ, Locally Finite Groups, North Holland, New York (1973). Zbl0259.20001MR470081
  11. [11] A. Yu.OL'ŠHANSKII, Infinite groups with cyclic subgroups, Dokl. Akad. Nauk SSSR, 245, no. 4 (1979), pp. 785-787. Zbl0431.20025MR527709
  12. [12] R.E. Phillips - J.S. Wilson, On certain minimal conditions for infinite groups, J. Algebra, 51 (1978), pp. 41-68. Zbl0374.20042MR491955
  13. [13] R.E. Phillips, Infinite groups with normality conditions on infinite subgroups, Rocky Mtn. J. Math., 7 (1977), pp. 19-30. Zbl0373.20034MR437643
  14. [14] V.L. Phillips, Infinite groups with a subnormality condition on infinite subgroups, Rocky Mtn. J. Math., 9 (1979), pp. 327-335. Zbl0423.20026MR519946
  15. [15] D.J.S. Robinson, Finiteness conditions and generalized solvable groups I, Springer-Verlag, New York (1972). Zbl0243.20032
  16. [16] D.J.S. Robinson, Finiteness conditions and generalized solvable groups II, Springer-Verlag, New York (1972). Zbl0243.20033
  17. [17] A.A. Šafiro, Examples of locally finite groups, Mat. Zametki, 13 (1973), pp. 103-106. Zbl0263.20019MR320148
  18. [18] G. Shute, Locally finite groups of Chevalley type, to appear. Zbl0547.20024

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