Equations and fully residually free groups
نویسندگان
چکیده
Solving equations is one of the main themes in mathematics. A large part of the combinatorial group theory revolves around the word and conjugacy problems particular types of equations in groups. Whether a given equation has a solution in a given group is, as a rule, a non-trivial problem. A more general and more difficult problem is to decide which formulas of the first-order logic hold in a given group. Around 1945 A. Tarski put forward two problems on elementary theories of free groups that served as a motivation for much of the research in group theory and logic for the last sixty years. A joint effort of mathematicians of several generations culminated in the following theorems, solving these Tarski’s conjectures.
منابع مشابه
1 M ay 2 00 9 The fully residually F quotients of F ∗ 〈 x , y 〉
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تاریخ انتشار 2009