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Some cancellation theorems with applications to nilpotent groups

Published online by Cambridge University Press:  09 April 2009

R. Hirshon
R. Hirshon
Affiliation:
Mathematics Dept., Polytechnic Institute of New York, 333 Jay Street, Brooklyn 11201, U.S.A.
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Abstract

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If C is a group which satisfies the maximal condition for normal subgroups, then C may be cancelled from a group A in direct products if and only if the infinite cyclic group can be cancelled from A. Finitely generated torsion free nilpotent groups of class 2 satisfy a Remak Krull Schmidt condition.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 23 , Issue 2 , March 1977 , pp. 147 - 165
Copyright
Copyright © Australian Mathematical Society 1977

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