Search results for "Nilpotent and hypercentral groups"

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A note on endomorphisms of hypercentral groups

2002

Abstract Let H be a subnormal subgroup of a hypercentral group G. We prove that endomorphisms of G are uniquely determined by their restrictions to H if and only if Hom(G/HG,G)=0, and draw some consequences from this fact.

Discrete mathematicsSubnormal subgroupAutomorphisms and endomorphisms of groupsPure mathematicsAlgebra and Number TheoryEndomorphismIf and only ifGroup (mathematics)Nilpotent and hypercentral groupsMathematicsJournal of Algebra
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