Universal commutator relations, Bogomolov multipliers, and commuting probability
نویسندگان
چکیده
منابع مشابه
Universal Commutator Relations, Bogomolov Multipliers, and Commuting Probability
Let G be a finite p-group. We prove that whenever the commuting probability of G is greater than (2p2 + p− 2)/p5, the unramified Brauer group of the field of G-invariant functions is trivial. Equivalently, all relations between commutators in G are consequences of some universal ones. The bound is best possible, and gives a global lower bound of 1/4 for all finite groups. The result is attained...
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This note describes an algorithm for computing Bogomolov multipliers of finite solvable groups. Compared to the existing ones, this algorithm has improved performance and is able to recognize the commutator relations of the group that constitute its Bogomolov multiplier. As a sample case we use the algorithm to effectively determine the multipliers of groups of order 128. The two serving purpos...
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We provide more characterizations of varieties having a term Mal’cev modulo two functions F and G. We characterize varieties neutral in the sense of F , that is varieties satisfying R ⊆ F (R). We present examples of global operators satisfying the homomorphism property, in particular we show that many known commutators satisfy the homomorphism property. See Parts I-III [2] for unexplained notat...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2015
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2014.12.034