GROUPS IN WHICH NORMAL CLOSURES OF ELEMENTS HAVE BOUNDEDLY FINITE RANK
Glasgow mathematical journal, Tome 51 (2009) no. 2, pp. 341-345
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It is proved that if the normal closure of every element of a group G has rank at most r, then the derived subgroup of G has r-bounded rank.
LONGOBARDI, PATRIZIA; MAJ, MERCEDE; SMITH, HOWARD. GROUPS IN WHICH NORMAL CLOSURES OF ELEMENTS HAVE BOUNDEDLY FINITE RANK. Glasgow mathematical journal, Tome 51 (2009) no. 2, pp. 341-345. doi: 10.1017/S0017089509005011
@article{10_1017_S0017089509005011,
author = {LONGOBARDI, PATRIZIA and MAJ, MERCEDE and SMITH, HOWARD},
title = {GROUPS {IN} {WHICH} {NORMAL} {CLOSURES} {OF} {ELEMENTS} {HAVE} {BOUNDEDLY} {FINITE} {RANK}},
journal = {Glasgow mathematical journal},
pages = {341--345},
year = {2009},
volume = {51},
number = {2},
doi = {10.1017/S0017089509005011},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089509005011/}
}
TY - JOUR AU - LONGOBARDI, PATRIZIA AU - MAJ, MERCEDE AU - SMITH, HOWARD TI - GROUPS IN WHICH NORMAL CLOSURES OF ELEMENTS HAVE BOUNDEDLY FINITE RANK JO - Glasgow mathematical journal PY - 2009 SP - 341 EP - 345 VL - 51 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089509005011/ DO - 10.1017/S0017089509005011 ID - 10_1017_S0017089509005011 ER -
%0 Journal Article %A LONGOBARDI, PATRIZIA %A MAJ, MERCEDE %A SMITH, HOWARD %T GROUPS IN WHICH NORMAL CLOSURES OF ELEMENTS HAVE BOUNDEDLY FINITE RANK %J Glasgow mathematical journal %D 2009 %P 341-345 %V 51 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089509005011/ %R 10.1017/S0017089509005011 %F 10_1017_S0017089509005011
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