J. Austral. Math. Soc.
73 (2002), 55-84
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Metanilpotent varieties of groups
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A. N. Krasil'nikov
Moscow Pedagogical State University
14 Krasnoprudnaya ul.
Moscow 107140
Russia
Current address:
University of Brasilia
70910-900 Brasilia-DF
Brazil
alexei@mat.unb.br
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Abstract
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For each positive integer n
let 
denote the variety of all groups which are
nilpotent of class at most 2
and which have exponent dividing n. For
positive integers m
and n, let
denote the variety of all groups which have a
normal subgroup in
 with factor group in
. It is shown that if
 , where
m and n are coprime,
then  has a finite basis for its identities.
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