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MR870805 57R85 (55N22 57R90)
Bahri, Anthony; Gilkey, Peter ${\rm Pin}^c$ cobordism and equivariant ${\rm Spin}^c$ cobordism of cyclic $2$-groups. Proc. Amer. Math. Soc. 99 (1987), no. 2, 380–382.
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