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This subtopic studies Whitehead groups and K_1, focusing on automorphism-related invariants and their role in algebraic and geometric classification.
19B10 studies definition and basic properties of k1 in Whitehead groups K1. It studies the first algebraic K-group, connecting linear groups, determinants, torsion, and homotopy-theoretic invariants.
Definition and basic properties of K1 (Wikipedia)
Used in geometric topology, linear algebraic groups, and the study of stable equivalence.
19B14 studies whitehead torsion and simple homotopy theory in Whitehead groups K1. It studies the first algebraic K-group, connecting linear groups, determinants, torsion, and homotopy-theoretic invariants.
Whitehead torsion and simple homotopy theory (Wikipedia)
Used in geometric topology, linear algebraic groups, and the study of stable equivalence.
19B28 studies stability and stability ranges in k1 in Whitehead groups K1. It studies the first algebraic K-group, connecting linear groups, determinants, torsion, and homotopy-theoretic invariants.
Stability and stability ranges in K1 (Wikipedia)
Used in geometric topology, linear algebraic groups, and the study of stable equivalence.
19B37 studies applications of k1 in Whitehead groups K1. It studies the first algebraic K-group, connecting linear groups, determinants, torsion, and homotopy-theoretic invariants.
Applications of K1 (Wikipedia)
Used in geometric topology, linear algebraic groups, and the study of stable equivalence.