The classification of groups in which every product of four elements can be reordered

Patrizia Longobardi; Mercede Maj; Stewart Stonehewer

Rendiconti del Seminario Matematico della Università di Padova (1995)

  • Volume: 93, page 7-26
  • ISSN: 0041-8994

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Longobardi, Patrizia, Maj, Mercede, and Stonehewer, Stewart. "The classification of groups in which every product of four elements can be reordered." Rendiconti del Seminario Matematico della Università di Padova 93 (1995): 7-26. <http://eudml.org/doc/108361>.

@article{Longobardi1995,
author = {Longobardi, Patrizia, Maj, Mercede, Stonehewer, Stewart},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {metabelian groups; derived subgroup; permutation property },
language = {eng},
pages = {7-26},
publisher = {Seminario Matematico of the University of Padua},
title = {The classification of groups in which every product of four elements can be reordered},
url = {http://eudml.org/doc/108361},
volume = {93},
year = {1995},
}

TY - JOUR
AU - Longobardi, Patrizia
AU - Maj, Mercede
AU - Stonehewer, Stewart
TI - The classification of groups in which every product of four elements can be reordered
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1995
PB - Seminario Matematico of the University of Padua
VL - 93
SP - 7
EP - 26
LA - eng
KW - metabelian groups; derived subgroup; permutation property
UR - http://eudml.org/doc/108361
ER -

References

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  1. [1] M. Bianchi - R. Brandl - A. Gillio Berta Mauri, On the 4-permutational property, Arch. Math., 48 (1987), pp. 281-285. Zbl0623.20022MR884558
  2. [2] M. Curzio - P. LONGOBARDI - M. MAJ, Su di un problema combinatorio in teoria dei gruppi, Atti Acc. Lincei Rend. Sci. Mat. Fis. Nat., 74 (1983), pp. 136-142. Zbl0528.20031MR739397
  3. [3] M. Curzio - P. LONGOBARDI - M. MAJ - D. J. S. ROBINSON, On a permutational property of groups, Arch. Math., 44 (1985), pp. 385-389. Zbl0544.20036MR792360
  4. [4] G. Higman, Rewriting products of group elements, Lectures given in Urbana in 1985 (unpublished). 
  5. [5] A.G. Kurosh, The Theory of Groups, 2nd edition (2 vols.), Chelsea, New York (1960). Zbl0094.24501MR109842
  6. [6] P. Longobardi - M. MAJ, On groups in which every product of four elements can be reordered, Arch. Math., 49 (1987), pp. 273-276. Zbl0607.20017MR913155
  7. [7] P. Longobardi - S. Stonehewer, Finite 2-groups of class 2 in which every product of four elements can be reordered, Illinois J., 35 (1991), pp. 198-219. Zbl0698.20013MR1091438
  8. [8] P. Longobardi - M. Maj - S. Stonehewer, The classification of groups in which every product of four elements can be reordered, preprint, Warwick University. Zbl0838.20038
  9. [9] M. Maj - S. Stonehewer, Non-nilpotent groups in which every product of four elements can be reordered, Canadian J., 42 (1990), pp. 1053-1066. Zbl0727.20027MR1099457

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