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GROUPS IN WHICH NORMAL CLOSURES OF ELEMENTS HAVE BOUNDEDLY FINITE RANK

Published online by Cambridge University Press:  01 May 2009

PATRIZIA LONGOBARDI ,
MERCEDE MAJ  and
HOWARD SMITH
PATRIZIA LONGOBARDI
Affiliation:
Dipartimento di Matematica e Informatica, Universitá di Salerno, Via Ponte don Melillo, 84084 Fisciano (Salerno), Italy e-mail: plongobardi@unisa.it, mmaj@unisa.it
MERCEDE MAJ
Affiliation:
Dipartimento di Matematica e Informatica, Universitá di Salerno, Via Ponte don Melillo, 84084 Fisciano (Salerno), Italy e-mail: plongobardi@unisa.it, mmaj@unisa.it
HOWARD SMITH
Affiliation:
Department of Mathematics, Bucknell University, Lewisburg, PA 17837, USA e-mail: howsmith@bucknell.edu
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Abstract

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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.

Keywords

20F24
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 51 , Issue 2 , May 2009 , pp. 341 - 345
Copyright
Copyright © Glasgow Mathematical Journal Trust 2009

References

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