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Subject: Re: Basics of Group Theory for Chess Players ( ca 800 words )

Author: Dan Andersson

Date: 07:13:51 05/20/05

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 I have problems with seeing that associativity and inverse exist in the simple
scheme you proposed. Associativity breaks because two move orders do sometimes
result in different end positions (f.ex: different values for the 50 move rule
and the exittence of en passant). And sometimes different move orders are
illegal.
 And moves that do not have an inverse are plentiful.
 AFAIK seeing chess positions as a group can only work if we change the rules of
chess to 'chess. And then the problem would have to be to prove that the results
of 'chess have bearing in chess. It would probably be simple in special cases.

MvH Dan Andersson



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