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- Adolfo Ballester-Bolinches, Enric Cosme-LlÃ³pez, Jan J. M. M. Rutten
- Inf. Comput.
- 2015

Because of the isomorphism (X Ã— A) â†’ X âˆ¼= X â†’ X, the transition structure Î± : X â†’ X of a deterministic automaton with state set X and with inputs from an alphabet A can be viewed both as an algebraâ€¦ (More)

In this paper a local version of Agrawalâ€™s theorem about the structure of finite groups in which Sylow permutability is transitive is given. The result is used to obtain new characterisations of thisâ€¦ (More)

We present an extension of Eilenberg's variety theorem, a well-known result connecting algebra to formal languages. We prove that there is a bijective correspondence between formations of finiteâ€¦ (More)

In a previous paper, the authors have shown that Eilenbergâ€™s variety theorem can be extended to more general structures, called formations. In this paper, we give a general method to describe theâ€¦ (More)

- Jan J. M. M. Rutten, Adolfo Ballester-Bolinches, Enric Cosme-LlÃ³pez
- Electr. Notes Theor. Comput. Sci.
- 2013

Because of the isomorphism (X Ã— A) â†’ X âˆ¼= X â†’ (A â†’ X), the transition structure of a deterministic automaton with state set X and with inputs from an alphabet A can be viewed both as an algebra andâ€¦ (More)

- Adolfo Ballester-Bolinches, M. C. Pedraza-Aguilera
- 2013

Let p be a prime. The class of all p-soluble groups G such that every p-chief factor of G is cyclic and all p-chief factors of G are Gisomorphic is studied in this paper. Some results on T -, PT -,â€¦ (More)

- Adolfo Ballester-Bolinches, Ramon Esteban-Romero, Klaus Doerk
- 2013

The aim of this paper is to classify the finite minimal non-p-supersoluble groups, p a prime number, in the p-soluble universe. Matematics Subject Classification (2000): 20D10, 20F16

- Adolfo Ballester-Bolinches, Enric Cosme-LlÃ³pez, Ramon Esteban-Romero, Jan J. M. M. Rutten
- Sci. Ann. Comp. Sci.
- 2015

The main goal in this paper is to use a dual equivalence in automata theory started in [RBBCL13] and developed in [BBCLR14] to prove a general version of the Eilenberg-type theorem presented inâ€¦ (More)

In (1, Theorem A), Beidleman and Robinson proved that if a group satisfies the permutizer condition, it is soluble, its chief factors have order a prime number or 4 and G induces the full group ofâ€¦ (More)

For a finite group G we define the graph Î“(G) to be the graph whose vertices are the conjugacy classes of cyclic subgroups of G and two conjugacy classes A, B are joined by an edge if for some A âˆˆ A,â€¦ (More)