Timeline for Name of the power of the exponent of a $p$-group
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Sep 12, 2023 at 13:06 | comment | added | YCor | It might be the "length"? in analogy with the length of a module over a ring. For an arbitrary finite group, it would count the number of Jordan-Hölder subfactors with multiplicity (thus the unique assignment that's 1 on simple groups and additive under extensions). | |
| Sep 12, 2023 at 9:04 | comment | added | Dave Benson | I don't think there's a name for $k$ and $n$, just for $p^k$ and $p^n$. But what I want to add is that if you want to learn about finite $p$-groups, may I suggest that a better place to start would be Chapter 5 of Gorenstein's "Finite Groups" - unless you're already beyond that point. I find the exposition there much better motivated. | |
| Sep 12, 2023 at 9:03 | comment | added | YCor | It's the $p$-logarithm of the the exponent, so maybe more "power in the exponent" than "power of the exponent". | |
| Sep 12, 2023 at 9:03 | comment | added | Emil Jeřábek | Would “exponent exponent” work? | |
| Sep 12, 2023 at 8:46 | history | asked | Jens Fischer | CC BY-SA 4.0 |