categories - Category Theory list
 help / color / mirror / Atom feed
From: Tom Leinster <tl@maths.gla.ac.uk>
To: categories@mta.ca
Subject: Preprint: A simple description of Thompson's group F
Date: Wed, 31 Aug 2005 14:37:39 +0100	[thread overview]
Message-ID: <1125495459.32083.3.camel@tl-linux.maths.gla.ac.uk> (raw)

The following paper is available:

"A simple description of Thompson's group F"

Marcelo Fiore, Tom Leinster

We show that Thompson's group F is the symmetry group of the "generic
idempotent".  That is, take the monoidal category freely generated by an
object A and an isomorphism A \otimes A --> A; then F is the group of
automorphisms of A.

http://arxiv.org/abs/math.GR/0508617


Incidentally, this is a result about groups, but the proof uses some
higher-dimensional category theory (multicategories, operads, and, less
essentially, bicategories).

Tom






             reply	other threads:[~2005-08-31 13:37 UTC|newest]

Thread overview: 3+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2005-08-31 13:37 Tom Leinster [this message]
2005-09-01 11:53 Peter Freyd
2005-09-01 16:17 Peter Freyd

Reply instructions:

You may reply publicly to this message via plain-text email
using any one of the following methods:

* Save the following mbox file, import it into your mail client,
  and reply-to-all from there: mbox

  Avoid top-posting and favor interleaved quoting:
  https://en.wikipedia.org/wiki/Posting_style#Interleaved_style

* Reply using the --to, --cc, and --in-reply-to
  switches of git-send-email(1):

  git send-email \
    --in-reply-to=1125495459.32083.3.camel@tl-linux.maths.gla.ac.uk \
    --to=tl@maths.gla.ac.uk \
    --cc=categories@mta.ca \
    /path/to/YOUR_REPLY

  https://kernel.org/pub/software/scm/git/docs/git-send-email.html

* If your mail client supports setting the In-Reply-To header
  via mailto: links, try the mailto: link
Be sure your reply has a Subject: header at the top and a blank line before the message body.
This is a public inbox, see mirroring instructions
for how to clone and mirror all data and code used for this inbox;
as well as URLs for NNTP newsgroup(s).