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Dive into the research topics where María José Felipe is active.

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Featured researches published by María José Felipe.


Journal of Group Theory | 2006

Some class size conditions implying solvability of finite groups

Antonio Beltrán; María José Felipe

Abstract Let G be a finite group. We show that when the conjugacy class sizes of G are {1, m, n, mn}, with m and n positive integers such that (m, n) = 1, then G is solvable. As a consequence, we obtain that G is nilpotent and that m = pa and n = qb for two primes p and q.


Journal of The Australian Mathematical Society | 2004

Certain relations between p-regular class sizes and the p-structure of p-solvable groups

Antonio Beltrán; María José Felipe

Let G be a finite p-solvable group for a fixed prime p. We study how certain arithmetical conditions on the set of p-regular conjugacy class sizes of G influence the p-structure of G. In particular, the structure of the p-complements of G is described when this set is f1; m; ng for arbitrary coprime integers m; n > 1. The structure of G is determined when the noncentral p-regular class lengths are consecutive numbers and when all of them are prime powers.


Proceedings of the American Mathematical Society | 2011

Nilpotency of normal subgroups having two G-class sizes

Elena Alemany; Antonio Beltrán Felip; María José Felipe

First published in Proceedings of the American Mathematical Society in volume 139, number 8, August 2011, published by the American Mathematical Society


Communications in Algebra | 2002

ON THE DIAMETER OF A p-REGULAR CONJUGACY CLASS GRAPH OF FINITE GROUPS

Antonio Beltrán; María José Felipe

ABSTRACT Let be a finite -solvable group. Attach to the following graph : its vertices are the non-central conjugacy classes of -regular elements of , and two vertices are connected by an edge if their cardinalities are not coprime. We prove that the number of connected components of is at most 2. When is connected, then the diameter of the graph is at most 3, and when is disconnected, then each of the two components is a complete graph.


Communications in Algebra | 2011

Finite Groups with Four Conjugacy Class Sizes

Antonio Beltrán; María José Felipe

We determine the structure of all finite groups with four class sizes when two of them are coprime numbers larger than 1. We prove that such groups are solvable and that the set of class sizes is exactly {1, m, n, mk}, where m, n > 1 are coprime numbers and k > 1 is a divisor of n.


Journal of Group Theory | 2009

The structure of finite groups with three class sizes

Antonio Beltrán; María José Felipe

Abstract Let G be a finite group and suppose that the set of conjugacy class sizes of G is {1, m, mn}, where m, n > 1 are coprime. We prove that m = p for some prime p dividing n – 1. We also show that G has an abelian normal p-complement and that if P is a Sylow p-subgroup of G, then |P′| = p and |P/Z(G) p | = p 2. We obtain other properties and determine completely the structure of G.


Proceedings of the American Mathematical Society | 2012

Normal subgroups and class sizes of elements of prime power order

Antonio Beltrán Felip; María José Felipe

If G is a finite group and N is a normal subgroup of G with two Gconjugacy class sizes of elements of prime power order, then we show that N is nilpotent.


Journal of Algebra and Its Applications | 2012

ON THE SOLVABILITY OF GROUPS WITH FOUR CLASS SIZES

Antonio Beltrán; María José Felipe

It is shown that if the set of conjugacy class sizes of a finite group G is {1, m, n, mn}, where m, n are positive integers which do not divide each other, then G is up to central factors a {p, q}-group. In particular, G is solvable.


Algebra Colloquium | 2005

Prime Factors of π-Partial Character Degrees and Conjugacy Class Sizes of π-Elements

Antonio Beltrán; María José Felipe

Let G be a finite solvable group. We prove that any prime dividing any irreducible π-partial character degree of G divides the size of some conjugacy class of π-elements of G. Under certain hypothesis, we show that if two distinct primes r and s both divide some irreducible π-partial character degree, then there exists a conjugacy class of π-elements whose size is divisible by rs.


Journal of Algebra | 2017

Square-free class sizes in products of groups

María José Felipe; A. Martínez-Pastor; V. M. Ortiz-Sotomayor

Abstract We obtain some structural properties of a factorised group G = A B , given that the conjugacy class sizes of certain elements in A ∪ B are not divisible by p 2 , for some prime p. The case when G = A B is a mutually permutable product is especially considered.

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A. Martínez-Pastor

Polytechnic University of Valencia

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V. M. Ortiz-Sotomayor

Polytechnic University of Valencia

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Elena Alemany

Polytechnic University of Valencia

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Lucia Sanus

University of Valencia

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Gunter Malle

Kaiserslautern University of Technology

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