Supplemented nilpotent groups

Jutta Hausen

Rendiconti del Seminario Matematico della Università di Padova (1981)

  • Volume: 65, page 35-46
  • ISSN: 0041-8994

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Hausen, Jutta. "Supplemented nilpotent groups." Rendiconti del Seminario Matematico della Università di Padova 65 (1981): 35-46. <http://eudml.org/doc/107826>.

@article{Hausen1981,
author = {Hausen, Jutta},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {small normal subgroups; supplemented nilpotent groups; Sylow p-subgroups; artinian groups; groups of finite exponent; amply supplemented groups; Frattini subgroup; radicable subgroup},
language = {eng},
pages = {35-46},
publisher = {Seminario Matematico of the University of Padua},
title = {Supplemented nilpotent groups},
url = {http://eudml.org/doc/107826},
volume = {65},
year = {1981},
}

TY - JOUR
AU - Hausen, Jutta
TI - Supplemented nilpotent groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1981
PB - Seminario Matematico of the University of Padua
VL - 65
SP - 35
EP - 46
LA - eng
KW - small normal subgroups; supplemented nilpotent groups; Sylow p-subgroups; artinian groups; groups of finite exponent; amply supplemented groups; Frattini subgroup; radicable subgroup
UR - http://eudml.org/doc/107826
ER -

References

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  1. [1] R. Baer, An essay on Frattini imbedded normal subgroups, Comm. Pure Appl. Math., 26 (1973), pp. 609-658. Zbl0266.20031MR332992
  2. [2] R. Baer, Frattini-eingebettete Normalteiler II, Math. Z., 139 (1974), pp. 205-223. Zbl0274.20049MR491976
  3. [3] P.A. Birjukov, On a certain class of Abelian torsion groups, Notices Amer. Math. Soc., 25 (1978), p. A-418. 
  4. [4] L. Fuchs, Infinite Abelian Groups, Vol. I, Academic Press, New York, 1970. Zbl0209.05503MR255673
  5. [5] J.S. Golan, Quasiperfect modules, Quart. J. Math. Oxford, 22 (1971), pp. 173-182. Zbl0215.09102MR289560
  6. [6] J. Hausen, Groups whose normal subgroups have minimal supplements, Arch. Math. (Basel), 32 (1979), pp. 213-222. Zbl0413.20039MR541619
  7. [7] H. Heineken - I.J. Mohamed, A group with trivial centre satisfying the normalizer condition, J. Algebra, 10 (1968), pp. 368-376. Zbl0167.29001MR235035
  8. [8] F. Kasch - E. A. MARES, Eine Kennzeichnung semi-perfekter Moduln, Nagoya Math. J., 27 (1966), pp. 525-529. Zbl0158.28901MR199227
  9. [9] E.A. Mares, Semi-perfect modules, Math. Z., 82 (1963), pp. 347-360. Zbl0131.27401MR157985
  10. [10] Y. Miyashita, Quasi-projective modules, perfect modules and a theorem for modular lattices, J. Fac. Sci.Hokkaido Univ., 19 (1966), pp. 86-110. Zbl0142.27904MR213390
  11. [11] E. Rips, Lectures at Warwick, 17-19 June '78, unpublished notes by F. Pickel. 
  12. [12] D.J.S. Robinson, Finiteness Conditions and Generalized Soluble Groups, Vol. I, Springer-Verlag, Heidelberg, 1972. Zbl0243.20032
  13. [13] H. Simon, Artinian and noetherian hypercentral groups, Proc. Amer. Math. Soc., 17 (1966), pp. 1407-1409. Zbl0146.25403MR210785
  14. [14] R.B. Warfield Jr., Nilpotent Groups, Lecture Notes in Mathematics, Vol. 513, Springer-Verlag, Berlin-Heidelberg -New York, 1976. Zbl0347.20018MR409661

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