Zobrazeno 1 - 10
of 52
pro vyhledávání: '"María José Felipe"'
Publikováno v:
International Journal of Group Theory, Vol 9, Iss 1, Pp 59-68 (2020)
We summarize several results about non-simplicity, solvability and normal structure of finite groups related to the number of conjugacy classes appearing in the product or the power of conjugacy classes. We also collect some problems t
Externí odkaz:
https://doaj.org/article/c4f32baeaffa46879d0f083c037c76d8
Publikováno v:
Modelling in Science Education and Learning, Vol 11, Iss 2, Pp 59-81 (2018)
In this paper we show how to model and to analyse the solubility of some puzzles, brainteasers and other mathematical toys. We make use of basic group theory concepts and the computational algebraic system GAP (Groups, Algorithms and Programming). Th
Externí odkaz:
https://doaj.org/article/2ed1760c1d1a4827a166bd5c8515a0e1
Publikováno v:
Repositori Universitat Jaume I
Universitat Jaume I
Universitat Jaume I
A theorem of Z. Arad and E. Fisman establishes that if A and B are two non-trivial conjugacy classes of a finite group G such that either $$AB=A\cup B$$ A B = A ∪ B or $$AB=A^{-1} \cup B$$ A B = A - 1 ∪ B , then G cannot be a non-abelian simple g
Autor:
María José Felipe, Antonio Beltrán
Publikováno v:
Repositori Universitat Jaume I
Universitat Jaume I
Universitat Jaume I
[EN] Let G be a finite group and let K=xG be the conjugacy class of an element x of G. In this paper, it is proved that if N is a normal subgroup of G such that the coset xN is the union of K and K-1 (the conjugacy class of the inverse of x), then N
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::63693ccf7e31d00bf6bf51017e424086
https://hdl.handle.net/10251/189490
https://hdl.handle.net/10251/189490
Publikováno v:
RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname
instname
[EN] Let N be a normal subgroup of a finite group G. In this paper, we consider the elements g of N such that x(g)¿0 for all irreducible characters x of G. Such an element is said to be non-vanishing in G. Let p be a prime. If all p-elements of N sa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ec686cfbd0857df804e467b0d454c5eb
https://hdl.handle.net/10251/166202
https://hdl.handle.net/10251/166202
Publikováno v:
RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname
Beltrán, Antonio Camina, Rachel Deborah Felipe, María José Melchor, Carmen 2020 Powers of conjugacy classes in a finite group. Annali di Matematica Pura ed Applicata, vol 199, 2, pp. 409-424.
RODERIC: Repositorio Institucional de la Universitat de Valéncia
Repositori Universitat Jaume I
Universitat Jaume I
RODERIC. Repositorio Institucional de la Universitat de Valéncia
instname
Beltrán, Antonio Camina, Rachel Deborah Felipe, María José Melchor, Carmen 2020 Powers of conjugacy classes in a finite group. Annali di Matematica Pura ed Applicata, vol 199, 2, pp. 409-424.
RODERIC: Repositorio Institucional de la Universitat de Valéncia
Repositori Universitat Jaume I
Universitat Jaume I
RODERIC. Repositorio Institucional de la Universitat de Valéncia
[EN] The aim of this paper is to show how the number of conjugacy classes appearing in the product of classes affect the structure of a finite group. The aim of this paper was to show several results about solvability concerning the case in which the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f34a6a428ebb700c046ac75e3bf56739
http://hdl.handle.net/10251/166212
http://hdl.handle.net/10251/166212
Publikováno v:
RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname
instname
[EN] Let the group G = AB be the product of subgroupsAandB, and letpbe a prime. We prove thatpdoes not divide the conjugacy class size (index) of eachp-regular element of prime power order x is an element of A boolean OR B if and only if G is p-decom
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::10662fba09ba5517ecce3b25b44f24ca
http://hdl.handle.net/10251/176990
http://hdl.handle.net/10251/176990
Publikováno v:
RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname
instname
Landau's theorem on conjugacy classes asserts that there are only finitely many finite groups, up to isomorphism, with exactly k conjugacy classes for any positive integer k. We show that, for any positive integers n and s, there exist finitely many
Publikováno v:
Groups St Andrews 2017 in Birmingham
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4e0c2803f2feee6c71aba6641999df9e
https://doi.org/10.1017/9781108692397.013
https://doi.org/10.1017/9781108692397.013