(Finite) presentations of the Albert-Frank-Shalev Lie algebras

Claretta Carrara

Bollettino dell'Unione Matematica Italiana (2001)

  • Volume: 4-B, Issue: 2, page 391-427
  • ISSN: 0392-4041

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Carrara, Claretta. "(Finite) presentations of the Albert-Frank-Shalev Lie algebras." Bollettino dell'Unione Matematica Italiana 4-B.2 (2001): 391-427. <http://eudml.org/doc/194832>.

@article{Carrara2001,
author = {Carrara, Claretta},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {391-427},
publisher = {Unione Matematica Italiana},
title = {(Finite) presentations of the Albert-Frank-Shalev Lie algebras},
url = {http://eudml.org/doc/194832},
volume = {4-B},
year = {2001},
}

TY - JOUR
AU - Carrara, Claretta
TI - (Finite) presentations of the Albert-Frank-Shalev Lie algebras
JO - Bollettino dell'Unione Matematica Italiana
DA - 2001/6//
PB - Unione Matematica Italiana
VL - 4-B
IS - 2
SP - 391
EP - 427
LA - eng
UR - http://eudml.org/doc/194832
ER -

References

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  1. ALBERT, A. A. and FRANK, M. S., Simple Lie algebras of characteristic p , Univ. e Politec. Torino. Rend. Sem. Mat., 14 (1954-55), 117-139. Zbl0065.26801MR79222
  2. BLACKBURN, N., On a special class of p -groups, Acta Math., 100 (1958), 45-92. Zbl0083.24802MR102558
  3. CARRARA, C., Central extensions of Albert-Frank-Shalev Lie algebras, in preparation (1999). 
  4. 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
  5. CARANTI, A.- NEWMAN, M. F., Graded Lie algebras of maximal class. II, J. Algebra, 229, no. 2 (2000), 750-784. Zbl0971.17015MR1769297
  6. HAVAS, G.- NEWMAN, M. F.- O'BRIEN, E. A., ANU p -Quotient Program, Version 1.2, written in C, available from maths.anu.edu.au by anonymous ftp in the directory /pub/PQ, as a share library with GAP 3.4 and as part of Magma (1995). 
  7. JURMAN, G., Graded Lie algebras of maximal class. III, in preparation (1999). Zbl1058.17020
  8. KOSTRIKIN, ALEXEI I., The beginnings of modular Lie algebra theory, Group theory, algebra, and number theory (Saarbrücken, 1993) (Berlin), de Gruyter, Berlin (1996), 13-52. Zbl0874.17021MR1440203
  9. LUCAS, E., Sur les congruences des nombres eulériens et des coefficients différentiels des fonctions trigonométriques, suivant un module premier, Bull. Soc. Math. France, 6 (1878), 49-74. MR1503769JFM10.0139.04
  10. ROBINSON, JOHN SCOTT, A course in the theory of groups, Graduate Texts in Mathematics, Springer-Verlag, New York, 80 (1982). Zbl0483.20001MR648604
  11. SCHÖNERT, M. ET AL., GAP - Groups, Algorithms and Programming, Release 3.4, Lehrstuhl D für Mathematik, Rheinisch-Westfälische Technische Hochschule, Aachen, Germany (1995). 
  12. SHALEV, ANER, Simple Lie algebras and Lie algebras of maximal class, Arch. Math. (Basel), 63, no. 4 (1994), 297-301. Zbl0803.17006MR1290602
  13. SHALEV, A., Finite p -groups, Finite and locally finite groups (Istanbul, 1994) (Dordrecht), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., Kluwer Acad. Publ., 471 (1995), 401-450. Zbl0839.20028MR1362818

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