On the number of generators needed for free profinite products of finite groups

Israel Journal of Mathematics

Volumn 162, Issue , 2007, Pages 81-92

  Abért, Miklós ^a   Hegedűs, Pál ^b  

^a UNIVERSITY OF CHICAGO   (United States)

^b EÖTVÖS LORÁND UNIVERSITY   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 58449130380     PISSN: 00212172     EISSN: 15658511     Source Type: Journal    
DOI: 10.1007/s11856-007-0089-4     Document Type: Article

References (11)

1. P. Erdos 1961 On the representation of large integers as sums of distinct summands taken from a fixed set Acta Arithmetica 7 345 354
2. I. Gruschko 1940 Über die Basen eines freien Produktes von Gruppen (Russian. German summary) Rec. Math. 8 169 182 [Mat. Sbornik]
3. The Kourovka Notebook, Unsolved Problems in Group Theory (1978).
4. L. G. Kovács H.S. Sim 1991 Generating finite soluble groups Koninklijke Nederlandse Akademie van Wetenschappen. Indagationes Mathematicae 2 229 232
5. A. Lucchini 2001 On the number of generators of finite images of free products of finite groups Journal of Algebra 245 552 561
6. A. Lucchini 2001 On the minimal number of generators of free profinite products of profinite groups Journal of Group Theory 4 53 58
7. 2 -Invariants: Theory and Applications to Geometry and K-Theory, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3.-Folge. A Series of Modern Surveys in Mathematics 44. Springer-Verlag, Berlin, 2002.
8. B. H. Neumann 1943 On the number of generators of a free product Journal of the London Mathematical Society 18 12 20
9. G. A. Noskov 1983 The number of generators of a group Mathematical Notes 33 249 254
10. L. Ribes and K. Wong, On the minimal number of generators of certain groups, in Groups-St. Andrews 1989, vol. 2, London Mathematical Society Lecture Note Ser. 160, Cambridge University Press, Cambridge, 1991, pp. 408-421.
11. D. T. Wise 2003 A residually finite version of Rips's construction The Bulletin of the London Mathematical Society 35 23 29