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Article #72

Group Theory Reference needed.

#72
From: Jack McKinney
Date: Mon, 14 Sep 1992 20:03
28 lines
1786 bytes
     I am looking for a reference that contains a list of all the groups
of all orders up to a given limit [i.e., a book can only be so large.]
For example:

Groups of order 1: {e}
Groups of order 2: {<a>:a^2=e} [Z_2]
Groups of order 3: {<a>:a^3=e} [Z_3]
Groups of order 4: {<a>:a^4=e} [Z_4]
                   {<a,b,c>:a^2=b^2=c^2=e} [V=Z_2xZ_2]
Groups of order 5: {<a>:a^5=e} [Z_5]
Groups of order 6: {<a>:a^6=e} [Z_6]
                   {<a,b>:a^2=e,y^3=e,xy^2=yx} [S_3]
Groups of order 7: {<a>:a^7=e} [Z_7]

ad nauseum...

        I know that there are 5 groups of order 8, 2 of order 9, etc.
I would like to see a book that [not necessarily with derivations] will
list each group of each order.
        Another thing I would like to see is a list of characters for 
a number of finite groups. (i.e. all the finite groups of some particular
order and smaller.)


+--------------------------------------------------------+--------------------+
| Martin: Have we done this before?                      | Jack McKinney      |
| Halsey: Are we doing this now?    -from Brain Dead     | jmckinney@tamu.edu |
+--------------------------------------------------------+--------------------+
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From: rlm7638@tamsun.tamu.edu (Jack McKinney)
Subject: Group Theory Reference needed.
Message-ID: <1992Sep14.200018.4959@tamsun.tamu.edu>
Sender: Daniel Grayson <dan@math.uiuc.edu>
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Organization: Texas A&M University, College Station
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Approved: Daniel Grayson <dan@math.uiuc.edu>
Date: Mon, 14 Sep 1992 20:03:31 GMT
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