Diamonds in thin Lie algebras

M. Avitabile; G. Jurman

Bollettino dell'Unione Matematica Italiana (2001)

  • Volume: 4-B, Issue: 3, page 597-608
  • ISSN: 0392-4041

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Avitabile, M., and Jurman, G.. "Diamonds in thin Lie algebras." Bollettino dell'Unione Matematica Italiana 4-B.3 (2001): 597-608. <http://eudml.org/doc/195729>.

@article{Avitabile2001,
author = {Avitabile, M., Jurman, G.},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {597-608},
publisher = {Unione Matematica Italiana},
title = {Diamonds in thin Lie algebras},
url = {http://eudml.org/doc/195729},
volume = {4-B},
year = {2001},
}

TY - JOUR
AU - Avitabile, M.
AU - Jurman, G.
TI - Diamonds in thin Lie algebras
JO - Bollettino dell'Unione Matematica Italiana
DA - 2001/10//
PB - Unione Matematica Italiana
VL - 4-B
IS - 3
SP - 597
EP - 608
LA - eng
UR - http://eudml.org/doc/195729
ER -

References

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  2. CARANTI, A., Thin groups of prime-power order and thin Lie algebras: an addendum, Quart. J. Math. Oxford Ser. (2), 49 (1998), no. 196, 445-450. Zbl0927.17018MR1660053
  3. CARANTI, A., Loop algebras of Zassenhaus algebras in characteristic three, Israel J. Math., 110 (1999), 61-73. Zbl0966.17013MR1750443
  4. CARANTI, A.- JURMAN, G., Quotients of maximal class of thin Lie algebras. The odd characteristic case, Comm. Algebra, 27, no. 12 (1999), 5741-5748. Zbl0940.17013MR1726275
  5. 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, no. 2 (1999), 157-184. Zbl0945.17005MR1717411
  6. CARANTI, A.- MATTAREI, S.- NEWMAN, M. F., Graded Lie algebras of maximal class, Trans. Amer. Math. Soc., 349, no. 10 (1997), 4021-4051. Zbl0895.17031MR1443190
  7. CARANTI, A.- MATTAREI, S.- NEWMAN, M. F.- SCOPPOLA, C. M., Thin groups of prime-power order and thin Lie algebras, Quart. J. Math. Oxford Ser. (2), 47, no. 187 (1996), 279-296. Zbl0865.20016MR1412556
  8. CARANTI, A.- NEWMAN, M. F., Graded Lie algebras of maximal class II, J. Algebra, to appear (2000). Zbl0971.17015MR1769297
  9. GAVIOLI, N.- MONTI, V.- YOUNG, D. S., Metabelian thin Lie algebras, submitted (2000). Zbl1042.17026MR1838846
  10. HAVAS, G.- NEWMAN, M. F.- O'BRIEN, E. A., 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). 
  11. JURMAN, G., Quotients of maximal class of thin Lie algebras. The case of characteristic two, Comm. Algebra, 27, no. 12 (1999), 5749-5789. Zbl0940.17014MR1726276
  12. JURMAN, G., Graded Lie algebras of maximal class III, in preparation (2000). Zbl1058.17020
  13. KLAAS, G.- LEEDHAM-GREEN, C. R.- PLESKEN, W., Linear Pro- p -Groups of Finite Width, Lecture Notes in Mathematics, Springer, 1674 (1996). Zbl0901.20013MR1483894
  14. KNUTH, D. E.- WILF, H. S., The power of a prime that divides a generalized binomial coefficient, J. Reine Angew. Math., 396 (1989), 212-219. Zbl0657.10008MR988552
  15. LUCAS, È., 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. MR1503769JFM10.0139.04
  16. MATTAREI, S., Some thin pro- p -groups, J. Algebra, 220, no 1 (1999), 56-72. Zbl0940.20032MR1713453

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