On the minimal number of generators of free profinite products of profinite groups

Journal of Group Theory

Volumn 4, Issue 1, 2001, Pages 53-58

  Lucchini, Andrea ^a  

^a UNIVERSITY OF BRESCIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035587792     PISSN: 14335883     EISSN: None     Source Type: Journal    
DOI: 10.1515/jgth.2001.007     Document Type: Article

References (11)

1. F. Dalla Volta and A. Lucchini. Finite groups that need more generators than any proper quotient. J. Austral. Math. Soc. Ser. A 64 (1998), 82-91.
2. I. Grushko. Über die Basen eines freien Produktes von Gruppen. Mat. Sb. 8 (1940), 19-182.
3. K. W. Gruenberg. Groups of non-zero presentation rank. Symposia Math. 17 (1976), 215-224.
4. M. W. Liebeck and A. Shalev. Simple groups, probabilistic methods, and a conjecture of Kantor and Lubotzky. J. Algebra 184 (1996), 31-57.
5. A. Lucchini. Generating the augmentation ideal. Rend. Sem. Mat. Univ. Padova 88 (1992), 145-149.
6. A. Lucchini. On groups with d-generator subgroups of coprime index. Comm. Algebra 28 (2000), 1875-1880.
7. A. Lucchini and F. Menegazzo. Generators for finite groups with a unique minimal normal subgroup. Rend. Sem. Mat. Univ. Padova 98 (1997), 173-191.
8. L. G. Kovács and Hyo-Seob Sim. Generating finite soluble groups. Indag. Math. (N.S.) 2 (1991), 229-232.
9. The Kourovka notebook. Unsolved problems in group theory, 14th augmented edition. (Russian Academy of Sciences Siberian Division, Institute of Mathematics, Novosibirsk, 1999).
10. B. H. Neumann. On the number of generators of a free product. J. London Math. Soc. 18 (1943), 12-20.
11. L. Ribes and K. Wong. On the minimal number of generators of certain groups. In Groups-St. Andrews 1989, vol. 2, London Math. Soc. Lecture Note Ser. 160 (Cambridge University Press, 1991), pp. 408-421.