JP Journal of Algebra, Number Theory and Applications
Volume 6, Issue 1, Pages 189 - 201
(April 2006)
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SOME OBSERVATIONS ON FACTORIZED GROUPS
Giorgio Busetto (Italy) and Enrico Jabara (Italy)
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Abstract: 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. |
Keywords and phrases: factorized groups, products of groups. |
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