Avitabile, Jurman: Diamonds in thin Lie algebras

Avitabile, M. and Jurman, G.:
Diamonds in thin Lie algebras
Bollettino dell'Unione Matematica Italiana Serie 8 4-B (2001), fasc. n.3, p. 597-608, Unione Matematica Italiana (English)
pdf (455 Kb), djvu (136 Kb). | MR1859998 | Zbl 1139.17306

Sunto

In un'algebra di Lie graduata thin, la classe in cui compare il secondo diamante e la caratteristica del campo soggiacente determinano se l'algebra stessa abbia o meno dimensione finita ed in tal caso forniscono anche un limite superiore a tale dimensione.

Referenze Bibliografiche

[C] A. CARANTI, Presenting the graded Nottingham Lie algebra, J. Algebra, 198, no. 1 (1997), 266-289. | MR 1482983 | Zbl 0977.17016

[C1] A. CARANTI, Thin groups of prime-power order and thin Lie algebras: an addendum, Quart. J. Math. Oxford Ser. (2), 49 (1998), no. 196, 445-450. | MR 1660053 | Zbl 0927.17018

[C2] A. CARANTI, Loop algebras of Zassenhaus algebras in characteristic three, Israel J. Math., 110 (1999), 61-73. | MR 1750443 | Zbl 0966.17013

[CJ] A. CARANTI-G. JURMAN, Quotients of maximal class of thin Lie algebras. The odd characteristic case, Comm. Algebra, 27, no. 12 (1999), 5741-5748. | MR 1726275 | Zbl 0940.17013

[CM] A. CARANTI-S. MATTAREI, Some thin Lie algebras related to Albert-Frank algebras and algebras of maximal class, J. Austral. Math. Soc. Ser. A, 67, no. 2 (1999), 157-184. | MR 1717411 | Zbl 0945.17005

[CMN] A. CARANTI-S. MATTAREI-M. F. NEWMAN, Graded Lie algebras of maximal class, Trans. Amer. Math. Soc., 349, no. 10 (1997), 4021-4051. | MR 1443190 | Zbl 0895.17031

[CMNS] A. CARANTI-S. MATTAREI-M. F. NEWMAN-C. M. SCOPPOLA, Thin groups of prime-power order and thin Lie algebras, Quart. J. Math. Oxford Ser. (2), 47, no. 187 (1996), 279-296. | MR 1412556 | Zbl 0865.20016

[CN] A. CARANTI-M. F. NEWMAN, Graded Lie algebras of maximal class II, J. Algebra, to appear (2000). | fulltext mini-dml | MR 1769297 | Zbl 0971.17015

[GMY] N. GAVIOLI-V. MONTI-D. S. YOUNG, Metabelian thin Lie algebras, submitted (2000). | MR 1838846 | Zbl 1042.17026

[HNO] G. HAVAS-M. F. NEWMAN-E. A. O'BRIEN, ANU $p$-Quotient Program (version 1.4), written in C, available as a share library with GAP and as part of Magma, or from http://wwwmaths.anu.edu.au/services/ftp.html (1997).

[J] G. JURMAN, Quotients of maximal class of thin Lie algebras. The case of characteristic two, Comm. Algebra, 27, no. 12 (1999), 5749-5789. | MR 1726276 | Zbl 0940.17014

[J2] G. JURMAN, Graded Lie algebras of maximal class III, in preparation (2000). | Zbl 1058.17020

[KL-GP] G. KLAAS-C. R. LEEDHAM-GREEN-W. PLESKEN, Linear Pro-$p$-Groups of Finite Width, Lecture Notes in Mathematics, Springer, 1674 (1996). | MR 1483894 | Zbl 0901.20013

[KW] D. E. KNUTH-H. S. WILF, The power of a prime that divides a generalized binomial coefficient, J. Reine Angew. Math., 396 (1989), 212-219. | MR 988552 | Zbl 0657.10008

[L] È. LUCAS, Sur les congruences des nombres eulériens et des coefficients différentiels des fonctions trigonométriques, suivant un module premier, Bull. Soc. Math. France, 6 (1878), 49-54. | fulltext mini-dml | MR 1503769 | Jbk 10.0139.04

[M] S. MATTAREI, Some thin pro-$p$-groups, J. Algebra, 220, no 1 (1999), 56-72. | MR 1713453 | Zbl 0940.20032

bdim: Biblioteca Digitale Italiana di Matematica

Un progetto SIMAI e UMI

Referenza completa

Sunto

Referenze Bibliografiche