THE RELATIVE BURNSIDE KERNEL-THE ELEMENTARY ABELIAN CASE

We give a conjectural description for the kernel of the map, assigning to each finite Zp-free G × Zp-set its rational permutation module where G is a finite p-group. We prove that this conjecture is true when G is an elementary abelian p-group or a cyclic p-group.

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Published in:The Rocky Mountain journal of mathematics 2013-01, Vol.43 (2), p.523-537
Main Author: KAHN, ERIC B.
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description We give a conjectural description for the kernel of the map, assigning to each finite Zp-free G × Zp-set its rational permutation module where G is a finite p-group. We prove that this conjecture is true when G is an elementary abelian p-group or a cyclic p-group.
doi_str_mv 10.1216/RMJ-2013-43-2-523
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title THE RELATIVE BURNSIDE KERNEL-THE ELEMENTARY ABELIAN CASE
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