6533b82bfe1ef96bd128e207
RESEARCH PRODUCT
A note on endomorphisms of hypercentral groups
Giovanni CutoloChiara Nicoterasubject
Discrete mathematicsSubnormal subgroupAutomorphisms and endomorphisms of groupsPure mathematicsAlgebra and Number TheoryEndomorphismIf and only ifGroup (mathematics)Nilpotent and hypercentral groupsMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2002-09-01 | Journal of Algebra |