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  • 學位論文

Algebraic splitting of cohomology of BSO(7)

BSO(7)之上同調之代數分解

指導教授 : 顏東勇

摘要


我們展示了BSO(7)的上同調跟D與M的直和同構,其中D是一個平凡E模,且M會跟一個自由E模同構。

關鍵字

代數分解 上同調 K理論

並列摘要


We show that (H^* ) ̃(BSO(7)) is isomorphic to D^*⊕M, where D^* is a trivial E-module and M is isomorphic to a free E-module.

參考文獻


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[5] D. C. Johnson and W. S. Wilson, Projective dimension and Brown-peterson homology, Topology, 12(1973), 327-353.
[6] A. Liulevicius, The cohomology of Massey-Peterson algebras, Math. Z., 105(1968), 226-256.

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