Two-variable identities for finite solvable groups;Identités en deux variables pour les groupes résolubles finis

Comptes Rendus Mathematique

Volumn 337, Issue 9, 2003, Pages 581-586

  Bandman, Tatiana ^a   Greuel, Gert Martin ^b   Grunewald, Fritz ^c   Kunyavskiǐ, Boris ^a   Pfister, Gerhard ^b   Plotkin, Eugene ^a  

^a BAR ILAN UNIVERSITY   (Israel)

^b France   (Germany)

^c HEINRICH HEINE UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0344154567     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2003.09.003     Document Type: Article

References (11)

1. A. Adolphson, S. Sperber, On the degree of the L-functions associated with an exponential sum, Compositio Math. 68 (1998) 125-159.
2. J. Almeida, Dynamics of implicit operations and tameness of pseudovarieties of groups, Trans. Amer. Math. Soc. 354 (2002) 387-411.
3. R. Brandl, Zur Theorie der untergruppenabgeschlossenen Formationen: endliche Varietäten, J. Algebra 73 (1981) 1-22.
4. R. Brandl, J.S. Wilson, Characterization of finite soluble groups by laws in a small number of variables, J. Algebra 116 (1988) 334-341.
5. K. Fujiwara, Rigid geometry, Lefschetz-Verdier trace formula and Deligne's conjecture, Invent. Math. 127 (1997) 480-533.
6. S.R. Ghorpade, G. Lachaud, Étale cohomology, Lefschetz theorems and number of points of singular varieties over finite fields, Moscow Math. J. 2 (2002) 589-631.
7. G.-M. Greuel, G. Pfister, A SINGULAR Introduction to Commutative Algebra, Springer-Verlag, Berlin, 2002.
8. F. Grunewald, B. Kunyavskiǐ, D. Nikolova, E. Plotkin, Two-variable identities in groups and Lie algebras, Zap. Nauch. Semin. POMI 272 (2000) 161-176; J. Math. Sci. (New York) 116 (2003) 2972-2981.
9. B. Huppert, N. Blackburn, Finite Groups, III, Springer-Verlag, Berlin, 1982.
10. B.I. Plotkin, Generalized soluble and generalized nilpotent groups, Uspekhi Mat. Nauk 13 (4) (1958) 89-172; English translation: Amer. Math. Soc. Transl. (2) 17 (1961) 29-115.
11. J. Thompson, Non-solvable finite groups all of whose local subgroups are solvable, Bull. Amer. Math. Soc. 74 (1968) 383-437.