F C -nilpotent groups and a Frattini-like subgroup

M. J. Tomkinson

Rendiconti del Seminario Matematico della Università di Padova (1992)

  • Volume: 88, page 201-210
  • ISSN: 0041-8994

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Tomkinson, M. J.. "$FC$-nilpotent groups and a Frattini-like subgroup." Rendiconti del Seminario Matematico della Università di Padova 88 (1992): 201-210. <http://eudml.org/doc/108269>.

@article{Tomkinson1992,
author = {Tomkinson, M. J.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {hypercyclic; soluble-by-finite FC-nilpotent groups; Frattini subgroup; ascending chains of subgroups; major subgroups; hypercentral},
language = {eng},
pages = {201-210},
publisher = {Seminario Matematico of the University of Padua},
title = {$FC$-nilpotent groups and a Frattini-like subgroup},
url = {http://eudml.org/doc/108269},
volume = {88},
year = {1992},
}

TY - JOUR
AU - Tomkinson, M. J.
TI - $FC$-nilpotent groups and a Frattini-like subgroup
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1992
PB - Seminario Matematico of the University of Padua
VL - 88
SP - 201
EP - 210
LA - eng
KW - hypercyclic; soluble-by-finite FC-nilpotent groups; Frattini subgroup; ascending chains of subgroups; major subgroups; hypercentral
UR - http://eudml.org/doc/108269
ER -

References

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  1. [1] R. Baer, Überauflösbare Gruppen, Abh. Math. Sem. Univ. Hamburg, 23 (1957), pp. 11-28. Zbl0092.02004MR103925
  2. [2] R. Baer, DurchFormationen bestimmte Zerlegungen von Normalteilern endlicher Gruppen, J. Algebra, 20 (1972), pp. 38-56. Zbl0225.20018MR292924
  3. [3] D. Gorenstein, Finite Groups, Harper and Row (1968). Zbl0185.05701MR231903
  4. [4] B. Huppert, Endliche Gruppen I, Springer (1967). Zbl0217.07201MR224703
  5. [5] D.J.S. Robinson, Splitting theorems for infinite groups, Symp. Math., 17 (1976), pp. 441-470. Zbl0442.20028MR407153
  6. [6] M.J. Tomkinson, A Frattini-like subgroup, Math. Proc. Cambridge Phil. Soc., 77 (1975), pp. 247-257. Zbl0301.20018MR382449
  7. [7] M.J. Tomkinson, Supersolubility conditions and a Frattini-like subgroup, Quart. J. Math., 29 (1978), pp. 93-99. Zbl0378.20021MR491958
  8. [8] M.J. Tomkinson, Finiteness conditions and a Frattini-like subgroup, in Proc. Sec. Intl. Group Theory Conf. Bressanone/Brixen 1989, Rend. Circ. Mat. Palermo, 23 (1990), pp. 321-335. Zbl0705.20018MR1068371

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