Zobrazeno 1 - 10
of 994
pro vyhledávání: '"Garcia, Lucas"'
We prove that any tensor product factorization with a commutative factor of a modular group algebra over a prime field comes from a direct product decomposition of the group basis. This extends previous work by Carlson and Kov\'acs for the commutativ
Externí odkaz:
http://arxiv.org/abs/2408.09036
Autor:
Pereira, Antonio Augusto Claudio, Destro, Juliana Regina, Picinin Bernuci, Marcelo, Garcia, Lucas França, Rodrigues Lucena, Tiago Franklin
Publikováno v:
JMIR mHealth and uHealth, Vol 8, Iss 7, p e17430 (2020)
BackgroundBreast cancer is the leading cause of cancer-related death in the female population. Health education interventions based on the use of mobile technologies enable the development of health self-care skills and have emerged as alternative st
Externí odkaz:
https://doaj.org/article/a73c88d884894995a73e5590217655be
Autor:
Brenner, Sofia, García-Lucas, Diego
Let $p$ be an odd prime number. We show that the modular isomorphism problem has a positive answer for finite $p$-groups whose center has index $p^3$, which is a strong contrast to the analogous situation for $p = 2$.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/2311.06666
Autor:
García-Lucas, Diego, del Río, Ángel
We continue the analysis of the Modular Isomorphism Problem for $2$-generated $p$-groups with cyclic derived subgroup, $p>2$, started in [D. Garc\'ia-Lucas, \'A. del R\'io, and M. Stanojkovski. On group invariants determined by modular group algebras
Externí odkaz:
http://arxiv.org/abs/2310.02627
A finite group $G$ is said to be rational if every character of $G$ is rational-valued. The Gruenberg-Kegel graph of a finite group $G$ is the undirected graph whose vertices are the primes dividing the order of $G$ and the edges join different prime
Externí odkaz:
http://arxiv.org/abs/2306.12883
Autor:
García-Lucas, Diego, Margolis, Leo
We show that the modular isomorphism problem has a positive answer for groups of nilpotency class 2 with cyclic center, i.e. that for such p-groups G and H an isomorphism between the group algebras FG and FH implies an isomorphism of the groups G and
Externí odkaz:
http://arxiv.org/abs/2306.06957
Autor:
García-Lucas, Diego, del Río, Ángel
We prove that the isomorphism problem for group algebras reduces to group algebras over finite extensions of the prime field. In particular, the modular isomorphism problem reduces to finite modular group algebras.
Comment: 5 pages, minor revisi
Comment: 5 pages, minor revisi
Externí odkaz:
http://arxiv.org/abs/2305.09355
Autor:
García-Lucas, Diego
Let $p$ be a prime and let $G$ be a finite $p$-group. We show that the isomorphism type of the maximal abelian direct factor of $G$, as well as the isomorphism type of the group algebra over $\mathbb F_p$ of the non-abelian remaining direct factor, a
Externí odkaz:
http://arxiv.org/abs/2209.15128
Let $p$ be a an odd prime and let $G$ be a finite $p$-group with cyclic commutator subgroup $G'$. We prove that the exponent and the abelianization of the centralizer of $G'$ in $G$ are determined by the group algebra of $G$ over any field of charact
Externí odkaz:
http://arxiv.org/abs/2209.06143
Identification and priorization techniques aplied to urban traffic crash locations: A scoping review
Autor:
de Moura, Fagner Sutel, Garcia, Lucas França, Torres, Tânia Batistela, Oliveira, Leonardo Pestillo, Nodari, Christine Tessele
Publikováno v:
In Latin American Transport Studies December 2024 2