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SOME OBSERVATIONS ON FACTORIZED GROUPS
Giorgio Busetto (Italy) and Enrico Jabara (Italy)
Abstract
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We
consider a factorized group
where
A
and B are subgroups of G. We
introduce the concept of
-orbit of an element of G
and we study the relation between the
-orbit of an element and the element itself;
our main result relates the cardinality of the
-orbit of an element of G
to the order of the element. |
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Keywords and phrases:
factorized groups, products of groups. |
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