Quasi-retracts give a new coarse-splitting criterion: a subgroup is a quasi-retract exactly when the ambient group is strictly quasi-isomorphic to a direct product over the quotient.
4, 1747–1835
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Quasi-retracts of groups
Quasi-retracts give a new coarse-splitting criterion: a subgroup is a quasi-retract exactly when the ambient group is strictly quasi-isomorphic to a direct product over the quotient.