Locally (soluble-by-finite) groups of finite rank

Journal of Algebra

Volumn 182, Issue 3, 1996, Pages 756-769

  Dixon, Martyn R ^a   Evans, Martin J ^a   Smith, Howard ^b  

^a UNIVERSITY OF ALABAMA   (United States)

^b BUCKNELL UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030585630     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1996.0200     Document Type: Article

References (20)

1. 1. R. Baer and H. Heineken, Radical groups with finite abelian subgroup rank, Illinois J. Math. 16 (1972), 533-580.
2. 2. R. W. Carter, "Finite Groups of Lie Type, Conjugacy and Complex Characters," Pure and Applied Mathematics, Wiley, New York, 1985.
3. 3. R. W. Carter, "Simple Groups of Lie Type," Wiley Classics Library, Wiley, New York, 1989.
4. 4. N. S. Černikov, A theorem on groups of finite special rank, Ukrain. Mat. Zh. 42 (1990), 962-970; English transl., Ukrainian Math. J. 42 (1990), 855-861.
5. 4. N. S. Černikov, A theorem on groups of finite special rank, Ukrain. Mat. Zh. 42 (1990), 962-970; English transl., Ukrainian Math. J. 42 (1990), 855-861.
6. 5. J. D. Dixon, "The Structure of Linear Groups," Van Nostrand-Reinhold Mathematical Studies, Vol. 37, Van Nostrand-Reinhold, New York, 1971.
7. 6. O. H. Kegel and B. A. F. Wehrfritz, "Locally Finite Groups," North-Holland, Amsterdam, 1973.
8. 7. A. Lubotzky and A. Mann, Residually finite groups of finite rank, Math. Proc. Cambridge Philos. Soc. 106 (1989), 385-388.
9. 8. Yu. I. Merzljakov, Locally soluble groups of finite rank, Algebra i Logika 3 (1964), 5-16; erratum, 8 (1969), 686-690.
10. 9. A. Yu. Ol'šanskii, "Geometry of Defining Relations in Groups," Mathematics and Its Applications, Vol. 70, Kluwer Academic, Dordrecht, 1989.
11. 2), Amer. J. Math. 83 (1961), 432-462.
12. 11. D. J. S. Robinson, "Finiteness Conditions and Generalized Soluble Groups," Vols. 1 and 2, Ergeb. Math. Grenzgeb., Band 62 and 63, Springer-Verlag, Berlin/Heidelberg/New York, 1972.
13. 11. D. J. S. Robinson, "Finiteness Conditions and Generalized Soluble Groups," Vols. 1 and 2, Ergeb. Math. Grenzgeb., Band 62 and 63, Springer-Verlag, Berlin/Heidelberg/New York, 1972.
14. 12. D. J. S. Robinson, A new treatment of soluble groups with finiteness conditions on their abelian subgroups, Bull. London Math. Soc. 8 (1976), 113-129.
15. 13. D. J. S. Robinson, "A Course in the Theory of Groups," Graduate Texts in Mathematics, Vol. 80, Springer-Verlag, Berlin/Heidelberg/New York, 1980.
16. 14. V. P. Šunkov, On locally finite groups of finite rank, Algebra i Logika 10 (1971), 199-225; English transl., Algebra and Logic 10 (1971), 127-142.
17. 14. V. P. Šunkov, On locally finite groups of finite rank, Algebra i Logika 10 (1971), 199-225; English transl., Algebra and Logic 10 (1971), 127-142.
18. 15. M. Suzuki, On a class of doubly transitive groups, Ann. of Math. 75 (1962), 105-145.
19. 16. M. Suzuki, "Group Theory, I," Grundlehren Math. Wiss., Vol. 247, Springer-Verlag, Berlin/Heidelberg/New York, 1982.
20. 17. B. A. F. Wehrfritz, "Infinite Linear Groups," Ergeb. Math. Grenzgeb., Band 76, Springer-Verlag, New York/Heidelberg/Berlin, 1973.