On subnormal series with factors of finite rank : the join problem

Howard Smith

Rendiconti del Seminario Matematico della Università di Padova (1992)

  • Volume: 88, page 25-33
  • ISSN: 0041-8994

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Smith, Howard. "On subnormal series with factors of finite rank : the join problem." Rendiconti del Seminario Matematico della Università di Padova 88 (1992): 25-33. <http://eudml.org/doc/108274>.

@article{Smith1992,
author = {Smith, Howard},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {permutizer; tensor product; join; subnormal subgroups; subnormal series; finite rank; finiteness conditions; lower central series; periodic divisible group; solubility},
language = {eng},
pages = {25-33},
publisher = {Seminario Matematico of the University of Padua},
title = {On subnormal series with factors of finite rank : the join problem},
url = {http://eudml.org/doc/108274},
volume = {88},
year = {1992},
}

TY - JOUR
AU - Smith, Howard
TI - On subnormal series with factors of finite rank : the join problem
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1992
PB - Seminario Matematico of the University of Padua
VL - 88
SP - 25
EP - 33
LA - eng
KW - permutizer; tensor product; join; subnormal subgroups; subnormal series; finite rank; finiteness conditions; lower central series; periodic divisible group; solubility
UR - http://eudml.org/doc/108274
ER -

References

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  1. [1] P. Hall, Some sufficient conditions for a group to be nilpotent, Illinois J. Math., 2 (1958), pp. 787-801. Zbl0084.25602MR105441
  2. [2] J.C. Lennox - D. Segal - S.E. Stonehewer, The lower central series of a join of subnormal subgroups, Math. Z., 154 (1977), pp. 85-89. Zbl0334.20017MR444779
  3. [3] D.J.S. Robinson, Joins of subnormal subgroups, Illinois J. Math., 9 (1965), pp. 144-168. Zbl0135.04805MR170953
  4. [4] J.E. Roseblade, The derived series of a join of subnormal subgroups, Math. Z., 117 (1970), pp. 57-69. Zbl0224.20034MR276358
  5. [5] H. Smith, On certain subgroups of a join of subnormal subgroups, Glasgow Math. J., 25 (1984), pp. 103-105. Zbl0534.20016MR731488
  6. [6] H. Smith, Commutator subgroups of a join of subnormal subgroups, Archiv Math., 41 (1983), pp. 193-198. Zbl0522.20021MR721049
  7. [7] H. Smith, Groups with the subnormal join property, Canadian J. Math., 37 (1985), pp. 1-16. Zbl0592.20042MR777035
  8. [8] H. Smith, Subnormal joins and subgroups of finite index, Archiv Math., 43 (1984), pp. 481-482. Zbl0532.20011MR775732
  9. [9] H. Smith, Joins of almost subnormal subgroups, Archiv Math., 53 (1989), pp. 105-109. Zbl0647.20019MR1004265
  10. [10] H. Smith, Elliptically embedded subgroups and nilpotent products, Glasgow Math. J., 31 (1989), pp. 371- 381. Zbl0684.20017MR1021811
  11. [11] J.P. Williams, The join of several subnormal subgroups, Math. Proc. Camb. Phil. Soc., 92 (1982), pp. 391-399. Zbl0509.20016MR677464
  12. [12] J.P. Williams, Conditions for subnormality of a join of subnormat subgroups, Math. Proc. Camb. Phil. Soc., 92 (1982), pp. 401-417. Zbl0509.20015MR677465

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