Pro-$p$ groups with few relations and universal Koszulity
نویسندگان
چکیده
منابع مشابه
Finite p-groups with few non-linear irreducible character kernels
Abstract. In this paper, we classify all of the finite p-groups with at most three non linear irreducible character kernels.
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This paper follows the methodology introduced by Agrawal and Biswas in [AB92], based on a notion of universality for the relations associated with NP-complete problems. The purpose was to study NP-complete problems by examining the effects of reductions on the solution sets of the associated witnessing relations. This provided a useful criterion for NP-completeness while suggesting structural s...
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In the 1970s, Isaacs conjectured that there should be a logarithmic bound for the length of solvability of a p-group G with respect to the number of different irreducible character degrees of G. So far, there are just a few partial results for this conjecture. In this note, we say that a pro-p group G has property (I) if there is a real number D = D(G) that just depends on G such that for any o...
متن کاملfinite p-groups with few non-linear irreducible character kernels
abstract. in this paper, we classify all of the finite p-groups with at most three non linear irreducible character kernels.
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Let p be a prime. It is a fundamental problem to classify the absolute Galois groups GF of fields F containing a primitive pth root of unity. In this paper we present several constraints on such GF , using restrictions on the cohomology of index p normal subgroups from [LMS]. In section 1 we classify all maximal p-elementary abelian-by-order p quotients of these GF . In the case p > 2, each suc...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 2021
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-123644