The theory of s-groups |
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Authors: | Samuel T Stern |
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Institution: | 1. State University College at Buffalo, 1300 Elmwood Avenue, 14222, Buffalo, New York, (U.S.A.)
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Abstract: | An investigation into an algebraic system with a single binary operation, called a skew-group, based on axioms of associativity; skew-commutativity (x+y+z=x+z+y); right identity; and left inverse. Definitions are given for left coset, quotient skew-group, homorphism, kernel, and subnormal skew-subgroup. Theorems are proved analogous to the Fundamental Homomorphism, First and Second Isomorphism, and Zassenhaus Theorems, for group theory. |
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