Skip to main content

Timeline for Linear Independence & Group Theory

Current License: CC BY-SA 3.0

14 events
when toggle format what by license comment
Mar 29, 2022 at 2:09 comment added Arturo Magidin @DavidRoberts: Thank you for that.
Mar 29, 2022 at 1:52 comment added David Roberts @ArturoMagidin the link in your comment is broken, here's a replacement: arxiv.org/abs/math/0506578.
Sep 1, 2012 at 5:43 history edited Guntram CC BY-SA 3.0
deleted 5 characters in body
Aug 24, 2012 at 15:24 comment added Arturo Magidin @Evgeny: Here's one: math.stackexchange.com/q/8379; related to this question is Asaf Karagila's proof that there are models of ZF in which there is a nontrivial vector space over $GF(2)$ of dimension greater than 1 that has no nontrivial automorphism: math.stackexchange.com/q/28145
Aug 24, 2012 at 10:07 answer added Todd Leason timeline score: 2
Aug 24, 2012 at 7:20 comment added Jason Mraz OK. found it: math.niu.edu/~beachy/abstract_algebra/study_guide/soln71.html Thanks !
Aug 24, 2012 at 7:17 comment added Jason Mraz Great ! THanks ! Have you got any reference for the automorphism proof?
Aug 23, 2012 at 22:59 answer added Ralph timeline score: 5
Aug 23, 2012 at 15:53 comment added Arturo Magidin On another tack, in trying to characterize the capable $p$-groups of exponent $p$ and class $2$, I ended up looking at certain morphisms between the commutator subgroups of the relatively free groups of exponent $p$ and class 2 and those of exponent $p$ and class $3$. I then interpreted them as linear maps between vector spaces, and worked in the linear algebra setting instead (because I found it more easy to think about). Some of that stuff is in the arXiv: front.math.ucdavis.edu/0506.5578.
Aug 23, 2012 at 15:50 comment added Arturo Magidin Not very deep, but the proof that a group that has only the identity automorphism must be $C_2$ uses this fact (together with the Axiom of Choice to construct of a basis).
Aug 23, 2012 at 15:25 vote accept Jason Mraz
Aug 23, 2012 at 12:30 comment added Yemon Choi coincidentally, see math.stackexchange.com/questions/185589/…
Aug 23, 2012 at 7:38 answer added Alexander Gruber timeline score: 3
Aug 23, 2012 at 7:04 history asked Jason Mraz CC BY-SA 3.0