Timeline for When factors may be cancelled in homeomorphic products?
Current License: CC BY-SA 3.0
6 events
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| Feb 9, 2013 at 8:11 | history | edited | José Hdz. Stgo. | CC BY-SA 3.0 |
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| Jun 5, 2010 at 9:45 | comment | added | Steve D | Krull-Schmidt applies when all the groups involved are finite. Hirshon's result is about just the canceled group being finite. He proves more in his later paper "Cancellation of Groups with Maximal Condition", Proc. AMS 24(2), 401--403. | |
| May 31, 2010 at 0:57 | history | edited | José Hdz. Stgo. | CC BY-SA 2.5 |
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| May 30, 2010 at 5:26 | comment | added | Victor Protsak | The review of Walker, Elbert A. Cancellation in direct sums of groups. Proc. Amer. Math. Soc. 7 (1956), 898--902, ams.org/mathscinet-getitem?mr=81440, written by Kaplansky, gives the history. | |
| May 30, 2010 at 5:13 | comment | added | Victor Protsak | For canceling a finite group, isn't this just Krull–(Remak–)Schmidt theorem? (en.wikipedia.org/wiki/Krull-Schmidt_theorem) By the way, according to MR, in the same paper Hirshon gave an example where infinite cyclic group $\mathbb{Z}$ cannot be canceled. | |
| May 30, 2010 at 2:33 | history | answered | José Hdz. Stgo. | CC BY-SA 2.5 |