A characterization of finite soluble groups by laws in two variables

Bulletin of the London Mathematical Society

Volumn 37, Issue 2, 2005, Pages 179-186

  Bray, John N ^a   Wilson, John S ^b   Wilson, Robert A ^a  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33644614926     PISSN: 00246093     EISSN: 14692120     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. T. BANDMAN, G.-M. GREUEL, F. GRUNEWALD, B. KUNYAVSKIǏ, G. PFISTER and E. PLOTKIN, 'Engel-like identities characterizing finite soluble groups', arXiv:math.GR/0303165 v1, 13 March 2003.
2. R. BRANDL and J. S. WILSON, 'Characterization of finite soluble groups by laws in a small number of variables', J. Algebra 116 (1988) 334-341.
3. J. J. CANNON et al., 'The MAGMA programming language, version 2.8', School of Mathematics and Statistics, University of Sydney, 2001.
4. F. GRUNEWALD, B. KUNYAVSKIǏ, D. NIKOLOVA and E. PLOTKIN, 'Two-variable identities in groups and Lie algebras', Zap. Nauchn. Sem. S.-Peterburg Otdel. Mat. Inst. Steklov. (POMI) 272 (2000) 161-176.
5. D. J. S. ROBINSON, A course in the theory of groups (Springer, 1982).
6. M. SUZUKI, 'On a class of doubly transitive groups', Ann. of Math. (2) 75 (1962) 105-145.
7. J. G. THOMPSON, 'Nonsolvable groups all of whose local subgroups are solvable', Bull. Amer. Math. Soc. 74 (1968) 383-437.