QE nil-2 groups of exponent 4
نویسندگان
چکیده
منابع مشابه
Amalgamation bases for nil-2 groups of odd exponent
We study amalgams and the strong, weak, and special amalgamation bases in the varieties of nilpotent groups of class two and exponent n, where n is odd. The main result is the characterization of the special amalgamation bases for these varieties. We also characterize the weak and strong bases. For special amalgamation bases we show that there are groups which are special bases in varieties of ...
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Every virtually cyclic group Γ that surjects onto the infinite dihedral group D∞ contains an index two subgroup Π of the form H ⋊α Z. We show that the Waldhausen Nil-group of Γ vanishes if and only if the Farrell Nil-group of Π vanishes. 1. Statement of results. The Bass Nil-groups, Farrell Nil-groups, and Waldhausen Nil-groups appear respectively as pieces in the computation of the algebraicK-...
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We study equations of the form (= x) which are single axioms for groups of exponent 4, where is a term in product only. Every such must have at least 9 variable occurrences, and there are exactly three such of this size, up to variable renaming and mirroring. These terms were found by an exhaustive search through all terms of this form. Automated techniques were used in two ways: to eliminate m...
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The non-abelian tensor product of groups which has its origins in algebraic K-theory as well as inhomotopy theory, was introduced by Brown and Loday in 1987. Group theoretical aspects of non-abelian tensor products have been studied extensively. In particular, some studies focused on the relationship between the exponent of a group and exponent of its tensor square. On the other hand, com...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1982
ISSN: 0021-8693
DOI: 10.1016/0021-8693(82)90218-6