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On framed cobordism classes of classical Lie groups

On framed cobordism classes of classical Lie groups

It is known that any compact connected Lie group with its left invariant framing is framed null-cobordant in the p-component for any prime p≠2,3. In this paper we will prove that the 3-components of SO2n+1 and Sp(n) are zero for n≥3, n≠5,7,11. Combining this with the previously known results on …