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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 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Online Access: | Get full text |
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| Summary: | 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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| ISSN: | 0035-7596 1945-3795 |
| DOI: | 10.1216/RMJ-2013-43-2-523 |