Some properties of generalized wreath products

Martyn Dixon; Thomas A. Fournelle

Compositio Mathematica (1984)

  • Volume: 52, Issue: 3, page 355-372
  • ISSN: 0010-437X

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Dixon, Martyn, and Fournelle, Thomas A.. "Some properties of generalized wreath products." Compositio Mathematica 52.3 (1984): 355-372. <http://eudml.org/doc/89669>.

@article{Dixon1984,
author = {Dixon, Martyn, Fournelle, Thomas A.},
journal = {Compositio Mathematica},
keywords = {partially ordered set; wreath products; locally soluble groups; locally finite},
language = {eng},
number = {3},
pages = {355-372},
publisher = {Martinus Nijhoff Publishers},
title = {Some properties of generalized wreath products},
url = {http://eudml.org/doc/89669},
volume = {52},
year = {1984},
}

TY - JOUR
AU - Dixon, Martyn
AU - Fournelle, Thomas A.
TI - Some properties of generalized wreath products
JO - Compositio Mathematica
PY - 1984
PB - Martinus Nijhoff Publishers
VL - 52
IS - 3
SP - 355
EP - 372
LA - eng
KW - partially ordered set; wreath products; locally soluble groups; locally finite
UR - http://eudml.org/doc/89669
ER -

References

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  1. &gt;[1] Martyn R. Dixon and Thomas A. Fournelle: Wreath Products indexed by partially ordered sets, to appear. Zbl0591.20031MR829191
  2. [2] P. Hall: Some constructions for locally finite groups. J. London Math. Soc.34 (1959) 305-319. Zbl0088.02301MR162845
  3. [3] P. Hall: Wreath powers and characteristically simple groups. Proc. Cambridge Phil. Soc.58 (1962) 170-184. Zbl0109.01302MR139649
  4. [4] W. Charles Holland: The characterization of generalized wreath products. J. Algebra13 (1969) 152-172. Zbl0186.03802MR257233
  5. [5] W. Charles Holland and Stephen H. Mccleary: Wreath products of ordered permutation groups. Pacific J. Math.31 (1969) 703-716. Zbl0206.31804MR258704
  6. [6] L.A. Kaluznin and M. Krasner: Produit complet des groupes de permutations et le problème d'extension des groupes I. Acta Sci. Math. (Szeged) 13 (1950) 208-230. Zbl0041.15802MR49890
  7. [7] O.H. Kegel and B.A.F. Wehrfritz: Locally finite groups. North Holland (1973). Zbl0259.20001MR470081
  8. [8] B.H. Neumann: Ascending derived series. Comp. Math.13 (1956) 47-64. Zbl0070.25405MR89196
  9. [9] A. Ju Ol'sanskii: The Novikov-Adjan Theorem. Mat. Sb. (N.S.)118 (1982), 203-235. Zbl0539.20020MR658789
  10. [10] Derek J.S. Robinson: Finiteness conditions and generalized soluble groups, Part I. Springer-Verlag (1972). Zbl0243.20032
  11. [11] Edward Szpilrajn: Sur l'extension de l'ordre partiel. Fund. Math.16 (1930) 386-389. Zbl56.0843.02JFM56.0843.02

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