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Transfer ideals and torsion in the Morava E -theory of abelian groups
Journal of Homotopy and Related Structures ( IF 0.5 ) Pub Date : 2020-05-23 , DOI: 10.1007/s40062-020-00259-z Tobias Barthel , Nathaniel Stapleton
Journal of Homotopy and Related Structures ( IF 0.5 ) Pub Date : 2020-05-23 , DOI: 10.1007/s40062-020-00259-z Tobias Barthel , Nathaniel Stapleton
Let A be a finite abelian p-group of rank at least 2. We show that \(E^0(BA)/I_{tr}\), the quotient of the Morava E-cohomology of A by the ideal generated by the image of the transfers along all proper subgroups, contains p-torsion. The proof makes use of transchromatic character theory.
中文翻译:
阿拉伯群体的Morava E-理论中的理想和扭曲传递
令A为秩至少为2的有限阿贝尔p-群。我们证明\(E ^ 0(BA)/ I_ {tr} \),是A的Morava E-同调性由A生成的理想值的商沿着所有适当子组的转移的图像包含p -torsion。该证明利用了转色字符理论。
更新日期:2020-05-23
中文翻译:
阿拉伯群体的Morava E-理论中的理想和扭曲传递
令A为秩至少为2的有限阿贝尔p-群。我们证明\(E ^ 0(BA)/ I_ {tr} \),是A的Morava E-同调性由A生成的理想值的商沿着所有适当子组的转移的图像包含p -torsion。该证明利用了转色字符理论。