Whitehead group of a group

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:abbreviation Wh(G)
gptkbp:defines the quotient K_1(Z[G])/±G^{ab}
gptkbp:domain group theory
gptkbp:field gptkb:algebraic_K-theory
https://www.w3.org/2000/01/rdf-schema#label Whitehead group of a group
gptkbp:introducedIn 1940s
gptkbp:namedAfter gptkb:J._H._C._Whitehead
gptkbp:property can be nontrivial for nonabelian groups
trivial for finite cyclic groups
gptkbp:relatedTo gptkb:K_1_group
group ring
torsion in topology
gptkbp:usedIn gptkb:topology
surgery theory
classification of h-cobordisms
gptkbp:bfsParent gptkb:Whitehead_torsion
gptkbp:bfsLayer 7