RICERCA ITALIANA     

Programmi di ricerca simili:

• 1 - Identità polinomiali e metodi combinatori
• 2 - Algebre con identità polinomiali e metodi combinatori
• 3 - Prospettive in teoria degli anelli, algebre di Hopf e categorie di moduli
• 4 - ALGEBRA COMMUTATIVA COMBINATORIA E COMPUTAZIONALE
• 5 - Web Ram: web retrieval and mining
• 6 - Teoria dei Modelli, Teoria degli Insiemi e Applicazioni
• 7 - Anelli, algebre, moduli e categorie.
• 8 - Geometria noncommutativa, gruppi quantici ed applicazioni
• 9 - Teoria dei gruppi e applicazioni
• 10 - Approccio integrato al riconoscimento di taxa problematici della meiofauna marina: realizzazione di volumi della serie "Fauna d'Italia" e sviluppo e valutazione di tecniche di DNA-barcoding per l'identificazione di Gastrotrichi, Proseriati e Rotiferi

Classificazione scientifico-disciplinare

• Area scientifico disciplinare: Scienze matematiche e informatiche
  • ALGEBRA

Classificazione brevettuale

• PHYSICS
  • EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
    • CODING OR CIPHERING APPARATUS FOR CRYPTOGRAPHIC OR OTHER PURPOSES INVOLVING THE NEED FOR SECRECY (secret transmission H04K; arrangements for secret telegraphic communication H04L9/00)
    • EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS (devices for psychotechnics or for testing reaction times A61B5/16; games, sports, amusements A63; projectors, projector screens G03B)

Classificazione geografica

• Regione: Abruzzo

Bibliografia

[A] Avitabile M., Some loop algebras of Hamiltonian Lie algebras, PhD thesis, 1999

[AJ] Avitabile M., Jurman G. Diamonds in thin Lie algebras. Boll. UMI Sez. B Artic. Ric. Mat. (8) 4 (2001), n. 3, 597-608

[AMAZ] M. Avitabile, S. Mattarei, Thin loop algebras of Albert-Zassenhaus Lie algebras, 27 pages, submitted

[AM05] M. Avitabile, S. Mattarei, Some thin Lie algebras with diamonds of finite and infinite type, J. Algebra 293 (2005), n. 1, 34-64

[AMd] M. Avitabile, S. Mattarei, Diamonds of finite type in thin Lie algebras, 19 pages, submitted
arXiv:math.RA/0511256.

[BKK] Benkart G., Kostrikin A., Kuznetsov M., Finite-dimensional simple Lie algebras with a nonsingular derivation. J. Algebra 171 (1995), n. 3, 894-916

[C97] Caranti A., Presenting the graded Lie algebra associated to the Nottingham group. J. Algebra 198 (1997), n. 1, 266-289

[C98] Caranti A., Thin groups of prime-power order and thin Lie algebras: an addendum. Quart. J. Math. Oxford Ser. (2) 49 (1998), n. 196, 445-450

[C99] A. Caranti, Loop algebras of Zassenhaus algebras in characteristic three, Israel J. Math. 110 (1999), 61-73

[CC] Camina A., Camina R., Pro-p-groups of finite width, Comm. Algebra 29 (2001), n. 4, 1583-1593

[CDV] Caranti A., Dalla Volta F., The round functions of cryptosystem PGM generate the symmetric group. (English. English summary) Des. Codes Cryptogr. 38 (2006), n. 1, 147-155

[CDVS] Caranti A., Dalla Volta F., Sala M., Abelian regular subgroups of the affine group and radical rings, Publ. Math. Debrecen, to appear

[CHZ] Charpin P., Helleseth T., Zinoviev V., Propagation characteristics of x->1/x and Kloosterman sums, Finite Fields Appl., to appear

[CM99] Caranti A., Mattarei S., Some thin Lie algebras related to Albert-Frank algebras and algebras of maximal class. J. Austral. Math. Soc. Ser. A 67 (1999), n. 2, 157-184

[CM04] A. Caranti, S. Mattarei, Nottingham Lie algebras with diamonds of finite type, Internat. J. Algebra Comp. 14 (2004), 35-67

[CM05] A. Caranti, S. Mattarei, Gradings of non-graded Hamiltonian Lie algebras, J. Austral. Math. Soc., Series A 79 (2005), n. 3, 399-440

[CMN] Caranti A., Mattarei S., Newman M., Graded Lie algebras of maximal class. Trans. Amer. Math. Soc. 349 (1997), n. 10, 4021-4051

[CMNS] Caranti A., Mattarei S., Newman M., Scoppola C. M., Thin groups of prime-power order and thin Lie algebras. Quart. J. Math. Oxford Ser. (2) 47 (1996), n. 187 , 279-296

[CN] Caranti A., Newman M., Graded Lie algebras of maximal class II. J. Algebra 229 (2000), n. 2, 750-784

[DP] Di Pietro C., Wreath products and modular Lie algebras, PhD Thesis (Univ. dell'Aquila), 2005

[DR02] Daemen J., Rijmen V., The design of Rijndael. AES-the advanced encryption standard. Information Security and Cryptography. Springer-Verlag, Berlin, 2002

[DR06] Daemen J., Rijmen V., Two-Round AES Differentials, IACR Preprint, 2006

[E04] Ershov M., New just-infinite pro-p groups of finite width and subgroups of the Nottingham group, J. Algebra 275 (2004) 419–449

[E05] Ershov M., The Nottingham group is finitely presented. J. London Math. Soc. (2) 71 (2005), n. 2, 362-378

[EM] Egizii Di Marco M., Norm and conjugacy classes of normalizers in finite p-groups, PhD Thesis (Univ. dell'Aquila), 2005

[GGSZ] Goldstein D., Guralnick R., Small L., Zelmanov E., Inversion invariant additive subgroups of division rings, Pacific J. Math., to appear

[GLSTbams] Gavioli N., Legarreta L., Sica C., Tota M., On the number of conjugacy classes of normalizers in a finite p-group, Bull. Austral. Math. Soc., to appear

[GM] Gavioli N., Monti V., Ideally constrained Lie algebras. J. Algebra 253 (2002), n. 1, 31-49

[GMS] Gavioli N., Monti V., Scoppola C. M., Just infinite periodic Lie algebras, in Proc. Gainesville Conf. On Finite Groups, March 6-12, 2003, Chat Y. Ho, P. Tiep, A. Turull, ed., De Gruyter (2004), 73-86

[GMSjgt] Gavioli N., Monti V., Scoppola C. M., Soluble normally constrained pro-p-groups, J. Group theory, to appear

[HNV] G. Havas, M. Newman, M. Vaughan-Lee, A nilpotent quotient algorithm for graded Lie rings, J. Symbolic Comput., 9, 653-664, 1990

[Hua] Hua Loo-Keng, Some properties of a sfield. Proc. Nat. Acad. Sci. U. S. A. 35, (1949). 533-537

[J] Jacobson N., A note on automorphisms and derivations of Lie algebras. Proc. Amer. Math. Soc. 6, (1955). 281-283

[KLP] Klaas G., Leedham-Green C., Plesken W., Linear pro-p-groups of finite width, LNM 1674 (1997) Springer-Verlag, Berlin

[KRS] Kaliski B., Rivest R., Sherman A., Is the data encryption standard a group? (Results of cycling experiments on DES). J. Cryptology 1 (1988), n. 1, 3-36

[K] Khukhro E., Nilpotent groups and their automorphisms, Expositions in Math., 8 de Gruyter, Berlin, 1993

[L] Leedham-Green C., The structure of finite p-groups, J. London Math. Soc (2) 50, 49-67

[LLL] A. Lenstra, H. Lenstra, L. Lovasz, Factoring Polynomials with Rational Coefficients. Math. Ann. 261, 515-534, 1982

[LM] Leedham-Green C., McKay S., The structure of Groups of Prime Power Order, London Math. Soc. Monographs, New Series, 27 (2000) Oxford Science Pub.

[LN] Leedham-Green C., Newman M., Space groups and groups of prime-power order. I. Arch. Math. (Basel) 35 (1980), n. 3, 193-202

[LR] La Haye R., Rhemtulla A., Groups with a bounded number of conjugacy classes of non-normal subgroups. J. Algebra 214 (1999), n. 1, 41-63

[M99] Mattarei S., Some thin pro-p-groups. J. Algebra 220 (1999), n. 1, 56-72

[M02] S. Mattarei, The orders of nonsingular derivations of modular Lie algebras, Israel J. Math. 132 (2002), 265-275.

[M06] Mattarei, S. Inverse-closed additive subgroups of fields, arXiv math.RA/0511538, Israel J. Math, to appear

[Mch] S. Mattarei, Constituents of graded Lie algebras of maximal class and chain lengths of thin Lie algebras, in preparation.

[Md] S. Mattarei, Deforming thin Lie algebras, in preparation.

[Mff] Mattarei S., On a bound of Garcia and Voloch for the number of points of a Fermat curve over a prime field, 4 pages, Finite Fields Appl., to appear

[Mfer] S. Mattarei, Fermat curves over finite fields and characters of nonabelian groups, in preparation.

[Mo] S. Mattarei, The orders of nonsingular derivations of modular Lie algebras of odd characteristic, in preparation.

[Mev] S. Mattarei, The orders of nonsingular derivations of modular Lie algebras of characteristic two, Israel J. Math., to appear arXiv:math.RA/0602668.

[Mp] Monti V., Periodic just infinite pro-p-groups, preprint

[Mphd] T. Meskanen. On the NTRU Cryptosystem. PhD thesis, Jun 2005, TorkU center for Computer Science (TUCS)

[NV] M. Newman, M. Vaughan-Lee, Some Lie rings associated with Burnside groups. Electron. Res. Announc. Amer. Math. Soc. 4 1-3 (1998)

[NOV] M. Newman, E. O'Brien, M. Vaughan-Lee, Groups and nilpotent Lie rings whose order is the sixth power of a prime. J. Algebra 278, 383-401 (2004)

[OV] E. O'Brien, M. Vaughan-Lee, The groups with order p^7 for odd prime p. J. Algebra 292 243-258 (2005)

[P] Paterson K. G., Imprimitive Permutation Groups and Trapdoors in Iterated Block Ciphers. FSE 1999, Rome, 201-214, LNCS 1636, Springer-Verlag, Heidelberg

[S] C. Schneider, Computing nilpotent quotients in finitely presented Lie rings. Discrete Math. Theor. Comput. Sci. 1, 1-16 (1997)

[S94a] Shalev A., The structure of finite p-groups: effective proof of the coclass conjectures. Invent. Math. 115 (1994), n. 2, 315-345

[S94b] Shalev A., Simple Lie algebras and Lie algebras of maximal class. Arch. Math. (Basel) 63 (1994), n. 4, 297-301

[S99] Shalev A., The orders of nonsingular derivations. Group theory. J. Austral. Math. Soc. Ser. A 67 (1999), n. 2, 254-260

[Sha] Shannon C., Communication theory of secrecy systems. Bell System Tech. J. 28, (1949). 656-715

[V] Vol'vacev R., Sylow p-subgroups of the general linear group, Isv. Akad. Nauk Ser. Mat. 27 (1963), 1031-1054, english translation: AMS Transl. (2) 64, 216-243 (1967)

[Y] Young D., Thin Lie Algebras with Long Second Chain, PhD Thesis, ANU Canberra, 2001.

Parole Chiave

PRO-P-GRUPPI, ALGEBRE DI LIE GRADUATE, PERIODICITA', DERIVAZIONI, CRITTOGRAFIA