Word Problem for Groups

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, especially in the area of abstract algebra known as combinatorial group theory, the word problem for a recursively presented group G is the algorithmic problem of deciding whether two words represent the same element. Although it is common to speak of the word problem for the group G strictly speaking it is a presentation of the group that does or does not have solvable word problem. Given two finite presentations P and Q of a group G, P has solvable word problem if and only if Q does. So in this case no confusion is caused by speaking of the word problem for G. When the group is recursively presented but not finitely presented, the distinction becomes important.

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Pagina's: 148, Paperback, Betascript Publishers