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Difference between revisions of "Talk:Sporadic simple group"

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A [[Simple finite group|simple finite group]] that does not belong to any of the known infinite series of simple finite groups. The  twenty-six sporadic simple groups are listed in the following  table.
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Post $\TeX$ remarks
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* I could not edit this page using my usual method (wikipediafs) so I could not fix the refs, could someone do it for me?
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* It might be nice to have some extra columns here
 +
** reference to the relevant paper
 +
** date of discovery
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** order in decimal
 +
* possibly allow sorting by some of these columns?
 +
I am seriously out of my depth on this topic, so I will leave it to others to consider whether these are worth doing ... -- [[User:Jjg|Jjg]] 21:12, 30 April 2012 (CEST)
  
====References====
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: This math is out of my competence, but anyway I wonder, why wikipediafs failed here? --[[User:Boris Tsirelson|Boris Tsirelson]] 21:34, 30 April 2012 (CEST)
<table><TR><TD  valign="top">[1]</TD> <TD valign="top">  S.A. Syskin,    "Abstract properties of the simple sporadic groups"  ''Russian Math.  Surveys'' , '''35''' :  5  (1980)  pp. 209–246  ''Uspekhi Mat. Nauk'' , '''35''' : 5  (1980)  pp. 181–212</TD></TR><TR><TD  valign="top">[2]</TD> <TD valign="top">  M. Aschbacher,    "The finite simple groups and their classification" , Yale Univ. Press  (1980)</TD></TR></table>
 
  
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:: Not sure, it may be a problem at my end, but now I cannot edit any pages via wikipediafs (even ones that I was editing yesterday). Very strange. --[[User:Jjg|Jjg]] 23:29, 30 April 2012 (CEST)
  
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::: I don't know anything about wikipediafs, but its [http://en.wikipedia.or /wiki/WikipediaFS#Disadvantages wp page] says its version 0.3 does not work with current wp. I prefer working with browser extensions like "Edit with emacs" (chromium) and/or "It's all text" (firefox). --[[User:Ulf Rehmann|Ulf Rehmann]] 09:58, 1 May 2012 (CEST)
  
====Comments====
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:::: The most recent version works fine, it has the disadvantage that it must login to make each each "commit", and does not give a lot of feedback when it fails (the above failure was due to the recent login problems), but at least it does work -- I spent a full evening trying to coerce "It's all text" to play nice, and I really don't want to change browser just to edit a page... --[[User:Jjg|Jjg]] 19:24, 2 May 2012 (CEST)
The recent classification of the finite simple groups (1981) has led to the conclusion that — up to a uniqueness proof for the Monster as the only  simple group of its order with certain additional properties — every  non-Abelian finite simple group is isomorphic to: an [[Alternating  group|alternating group]] on at least <img align="absmiddle"  border="0" src="https://www.encyclopediaofmath.org/legacyimages/s/s086/s086870/s08687069.png" />  letters, a group of (twisted or untwisted) Lie type, or one of the above  <img align="absmiddle" border="0"  src="https://www.encyclopediaofmath.org/legacyimages/s/s086/s086870/s08687070.png" /> sporadic groups.  See [[#References|[a2]]] for a discussion of the proof.
 
  
====References====
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A lot of things could be added here. Each of the sporadic group names should have its own page. We only have the Mathieu groups as a distinguished page. --[[User:Ulf Rehmann|Ulf Rehmann]] 01:02, 1 May 2012 (CEST)
<table><TR><TD  valign="top">[a1]</TD> <TD valign="top">  J.H. Conway,    R.T. Curtis,  S.P. Norton,  R.A. Parker,  R.A. Wilson,   "Atlas of  finite groups" , Clarendon Press  (1985)</TD></TR><TR><TD  valign="top">[a2]</TD> <TD valign="top"> D. Gorenstein,   "Finite simple groups. An introduction to their classification" , Plenum  (1982)</TD></TR></table>
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I like to propose that the word "group" be dropped from the second column and put in the header instead; eg
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$\newcommand{\d}{\cdot}$
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{| class="wikitable" style="margin: 1em auto 1em auto;"
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|+ The twenty-six sporadic simple groups
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! Notation
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! Name (group)
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! Order
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|-
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| $J_1$
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| Janko
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| $2^3\d 3\d 5\d 7\d 11\d 19$
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|-
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|}
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This is normal typographic practice in tables for units, for example. It would have the advantage that it would free up some horizontal space for other columns, as suggested above. --[[User:Jjg|Jjg]] 19:24, 2 May 2012 (CEST)

Latest revision as of 17:24, 2 May 2012

Post $\TeX$ remarks

  • I could not edit this page using my usual method (wikipediafs) so I could not fix the refs, could someone do it for me?
  • It might be nice to have some extra columns here
    • reference to the relevant paper
    • date of discovery
    • order in decimal
  • possibly allow sorting by some of these columns?

I am seriously out of my depth on this topic, so I will leave it to others to consider whether these are worth doing ... -- Jjg 21:12, 30 April 2012 (CEST)

This math is out of my competence, but anyway I wonder, why wikipediafs failed here? --Boris Tsirelson 21:34, 30 April 2012 (CEST)
Not sure, it may be a problem at my end, but now I cannot edit any pages via wikipediafs (even ones that I was editing yesterday). Very strange. --Jjg 23:29, 30 April 2012 (CEST)
I don't know anything about wikipediafs, but its /wiki/WikipediaFS#Disadvantages wp page says its version 0.3 does not work with current wp. I prefer working with browser extensions like "Edit with emacs" (chromium) and/or "It's all text" (firefox). --Ulf Rehmann 09:58, 1 May 2012 (CEST)
The most recent version works fine, it has the disadvantage that it must login to make each each "commit", and does not give a lot of feedback when it fails (the above failure was due to the recent login problems), but at least it does work -- I spent a full evening trying to coerce "It's all text" to play nice, and I really don't want to change browser just to edit a page... --Jjg 19:24, 2 May 2012 (CEST)

A lot of things could be added here. Each of the sporadic group names should have its own page. We only have the Mathieu groups as a distinguished page. --Ulf Rehmann 01:02, 1 May 2012 (CEST)

I like to propose that the word "group" be dropped from the second column and put in the header instead; eg $\newcommand{\d}{\cdot}$

The twenty-six sporadic simple groups
Notation Name (group) Order
$J_1$ Janko $2^3\d 3\d 5\d 7\d 11\d 19$

This is normal typographic practice in tables for units, for example. It would have the advantage that it would free up some horizontal space for other columns, as suggested above. --Jjg 19:24, 2 May 2012 (CEST)

How to Cite This Entry:
Sporadic simple group. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Sporadic_simple_group&oldid=25776