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Classification of p-groups via their 2-nilpotent multipliers

期刊: RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2023; 150 ()

For a p-group of order pn, it is known that the order of 2-nilpotent multiplier is equal to IM.2/(G)I = p 12n.n-1/.n-2/C3-s2.G/, for an integer s2(G).......

Weakly S-semipermutable subgroups and p-nilpotency of groups

期刊: RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2023; 150 ()

A subgroup H of a finite group G is said to be S-semipermutable in G if HGp = GpH for every Sylow subgroup Gp of G with (IH I, p) = 1. A subgroup H of......

G-equivariance of formal models of flag varieties

期刊: RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2023; 150 ()

Let G be a split connected reductive group scheme over the ring of integers o of a finite extension LIQp and A E X.T/ an algebraic character of a spli......

Canonical universal locally finite groups

期刊: RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2023; 149 ()

- We prove that the existence of universally locally finite groups implies that there is a canonical one in any strong limit singular cardinality of c......

Residual supersingular Iwasawa theory and signed Iwasawa invariants

期刊: RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2023; 149 ()

For an odd prime p and a supersingular elliptic curve over a number field, this article introduces a multi-signed residual Selmer group, under certain......

Height pairings of 1-motives

期刊: RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2023; 149 ()

The purpose of this work is to generalize, in the context of 1 -motives, the p-adic height pairings constructed by B. Mazur and J. Tate on abelian var......

A short proof of a non-vanishing result by Conca, Krattenthaler and Watanabe

期刊: RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2023; 150 ()

In this note, we propose a short and elementary proof of a non-vanishing result by Conca, Krattenthaler and Watanabe (2009).

Algebraic curves admitting non-collinear Galois points

期刊: RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2023; 149 ()

This paper presents a criterion for the existence of a birational embedding into a projective plane with non-collinear Galois points for algebraic cur......

Analytic general solutions of nonlinear second-order q-difference equations with a double characteristic value

期刊: RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2023; 149 ()

As far as the author knows, it seems that an existence theorem of a solution of a general nonlinear q-difference equation is not known. In this paper ......

An explicit self-dual construction of complete cotorsion pairs in the relative context

期刊: RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2023; 149 ()

Let R A be a homomorphism of associative rings, and let (3, r) be a hereditary complete cotorsion pair in R -Mod. Let (3A, rA) be the cotorsion pair i......

Utumi Abelian groups

期刊: RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2023; 150 ()

In a recent paper written by Y. Ibrahim and M. Yousif (2018), the following class of modules is considered: a right R-module M is called a Utumi modul......

Refined Kolmogorov inequalities for the binomial distribution

期刊: RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2023; 149 ()

This paper presents refined versions of the well-known Kolmogorov maximal inequality for the binomial distribution.

Functors for Long dimodules and Yetter-Drinfeld modules in a weak setting

期刊: RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2023; 150 ()

- In this paper, for two weak Hopf monoids H and B with invertible antipode, we define a functor between the category of left-left H (R) B-Yetter-Drin......

Filtration relative, l'idéal de Bernstein et ses pentes

期刊: RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2023; 150 ()

- Let fi: X -> C, for i integer between 1 and p, be analytic functions defined on a complex analytic variety X. Let us consider D-X, the ring of li......

Degeneration of K3 surfaces with non-symplectic automorphisms

期刊: RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2023; 150 ()

- We prove that a K3 surface with an automorphism acting on the global 2 -forms by a primitive m-th root of unity, m & curren; 1, 2, 3, 4, 6, does......

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