On the equations defining irreducible algebraic groups |
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| Authors: | Jozsef Horvath |
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| Institution: | Department of Mathematics , West Chester University of Pennsylvania , West Chester, PA, 19383 |
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| Abstract: | Abstract We consider five known problems concerning positive laws in groups. One of them has a counterexample, the others are open in general. It is shown that three of the problems are equivalent and all of them have a positive solution in the class of locally graded groups. |
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| Keywords: | Locally graded group Positive law Semigroup law Semigroup identity |
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