The Birkhoff-Neumann Embedding of Relatively Free Groups

Rolf Brandl; Gabriella Corsi Tani; Luigi Serena

Rendiconti del Seminario Matematico della Università di Padova (2006)

  • Volume: 115, page 85-97
  • ISSN: 0041-8994

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Brandl, Rolf, Corsi Tani, Gabriella, and Serena, Luigi. "The Birkhoff-Neumann Embedding of Relatively Free Groups." Rendiconti del Seminario Matematico della Università di Padova 115 (2006): 85-97. <http://eudml.org/doc/108687>.

@article{Brandl2006,
author = {Brandl, Rolf, Corsi Tani, Gabriella, Serena, Luigi},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {finite groups; varieties of groups; relatively free groups; subgroups of direct products; minimal non-Abelian groups; dihedral groups; minimal non-nilpotent groups},
language = {eng},
pages = {85-97},
publisher = {Seminario Matematico of the University of Padua},
title = {The Birkhoff-Neumann Embedding of Relatively Free Groups},
url = {http://eudml.org/doc/108687},
volume = {115},
year = {2006},
}

TY - JOUR
AU - Brandl, Rolf
AU - Corsi Tani, Gabriella
AU - Serena, Luigi
TI - The Birkhoff-Neumann Embedding of Relatively Free Groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2006
PB - Seminario Matematico of the University of Padua
VL - 115
SP - 85
EP - 97
LA - eng
KW - finite groups; varieties of groups; relatively free groups; subgroups of direct products; minimal non-Abelian groups; dihedral groups; minimal non-nilpotent groups
UR - http://eudml.org/doc/108687
ER -

References

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  1. [1] G. BIRKHOFF, On the structure of abstract algebras, Proc. Cambridge Philos. Soc., 31 (1935), pp. 433-454. Zbl0013.00105JFM61.1026.07
  2. [2] Y. K. CHYE, Minimal generating sets for some wreath products of groups, Bull. Austral. Math. Soc., 9 (1973), pp. 127-136. Zbl0264.20030MR507007
  3. [3] P. M. COHN, Algebra, vol. 1, Wiley, New York, 1974. Zbl0272.00003MR360046
  4. [4] B. FINE, The free groups in the dihedral variety, Arch. Math., 46 (1986), pp. 193-197. Zbl0569.20021MR834835
  5. [5] W. GASCHÜTZ, Über modulare Darstellungen endlicher Gruppen, die von freien Gruppen induziert werden, Math. Z., 60 (1954), pp. 274-286. Zbl0056.02401MR65564
  6. [6] G. HIGMAN, The orders of relatively free groups, In: Proc. Internat. Conf. Theory of Groups. Austral. Nat. Univ. Canberra 1965 (Gordon and Breach 1967), pp. 153-165. Zbl0166.28001MR219597
  7. [7] G. HIGMAN, Some remarks on varieties of groups, Quart. J. Oxford, (2) 10 (1959), pp. 165-178. Zbl0089.01302MR113925
  8. [8] B. HUPPERT, Endliche Gruppen I, Springer-Verlag, Berlin, 1967. Zbl0217.07201MR224703
  9. [9] L. G. KOVÁCS, Free groups in a dihedral variety, Proc. of the Royal Irish Academy, 89 A (1989), pp. 115-117. Zbl0697.20012MR1021229
  10. [10] L. G. KOVÁCS, M.F. NEWMAN, On non-Cross varieties of groups, J. Austral. Math. Soc. 12 (1971), pp. 129-144. Zbl0221.20037MR292915
  11. [11] B. H. NEUMANN, Identical relations in groups I, Math. Ann., 114 (1937), pp. 506-525. Zbl0016.35102MR1513153
  12. [12] H. NEUMANN, Varieties of groups, Springer-Verlag, Berlin, 1967. Zbl0251.20001MR215899
  13. [13] P. M. NEUMANN, On the structure of standard wreath products of groups, Math. Z., 84 (1964), pp. 343-373. Zbl0122.02901MR188280

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