tag:blogger.com,1999:blog-26706564.post6654243394282611443..comments2020-05-25T20:44:19.415-04:00Comments on Thoughts On Economics: Classification of Finite Simple Groups: A Proved Theorem?Robert Vienneauhttp://www.blogger.com/profile/14748118392842775431noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-26706564.post-50623611002409767092016-02-19T08:54:20.776-05:002016-02-19T08:54:20.776-05:00Thanks for the recommendation. I only learned abou...Thanks for the recommendation. I only learned about the existence of representation theory within the last 6 months.<br /><br />I'd like to know about rings and fields. Apparently Galois Fields have applications in the Advanced Encryption System (AES) and in Reed-Solomon Error Correcting Coding. Homomorphisms have application in homomorphic encryption, which is becoming important for cloud computing. Robert Vienneauhttps://www.blogger.com/profile/00872510108133281526noreply@blogger.comtag:blogger.com,1999:blog-26706564.post-70184836357725656602016-02-17T10:04:03.036-05:002016-02-17T10:04:03.036-05:00Ah, this is closer to my actual field of study. Yo...Ah, this is closer to my actual field of study. You might want to look at Robert Wilson's <i>The Finite Simple Groups</i>, which discusses the 26 exceptional finite simple groups in rather great detail.<br /><br />But most working mathematicians take the classification theorem on faith because, hey, if we get it wrong and there are, say, <i>27</i> exceptions...nifty. I think a very small number are interested in writing up the proof for an automated theorem prover to verify, but such mathematicians could easily meet in a phone booth (because there are so few of them).pqnelsonhttps://www.blogger.com/profile/12779680952736168655noreply@blogger.com