Vol. 51, No. 1, 1974

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A problem in compact Lie groups and framed cobordism

Hillel Halkin Gershenson

Vol. 51 (1974), No. 1, 121–129

Given a compact, connected, k-dimensional, oriented Lie group G or a faithful orthogonal representation T of such a G there arises an element of the k-th framed cobordism group Ωkfr. The study of these elements is begun, and some algebraic properties of the situation are discussed. The remaining problem is to relate such properties of the elements in Ωkfr as order or Adams d and e invariants to Lie theory.

Mathematical Subject Classification
Primary: 57D90
Received: 17 October 1972
Published: 1 March 1974
Hillel Halkin Gershenson