Timeline for answer to Are there situations when regarding isomorphic objects as identical leads to mistakes? by ogerard
Current License: CC BY-SA 2.5
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| May 12, 2010 at 8:35 | comment | added | ogerard | @Roland Bacher: thanks to mention the Burnside ring. As you do, I believe this gives the proper context (and marks tables a good pedagogical tool) for similarity and isomorphism of permutation groups. | |
| May 12, 2010 at 7:01 | comment | added | Roland Bacher | The first observation is the statement that one has also to consider the corresponding element in the Burnside ring encoding distinct (formal) permutation representations of finite groups, see en.wikipedia.org/wiki/Burnside_ring. It generalizes to the fact that two linear groups can be abstractly isomorphic but can correspond to non-isomorphic representations of the underlying abstract group. | |
| May 12, 2010 at 6:20 | history | answered | ogerard | CC BY-SA 2.5 |