Crowns in profinite groups and applications

Noncommutative Algebra and Geometry

Volumn , Issue , 2005, Pages 47-62

  Detomi, Eloisa ^a   Lucchini, Andrea ^b  

^a UNIVERSITY OF PADOVA   (Italy)

^b UNIVERSITY OF BRESCIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85124057576     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (12)

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3. 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.
4. E. Detomi and A. Lucchini, 'Crowns and factorization of the probabilistic zeta function of a finite group', J. Algebra to appear.
5. P. Forster, 'Chief factors, crowns, and the generalized Jordan-Holder Theorem', Comm. Algebra 16 (1988), 1627-1638.
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8. P. Jimenez-Seral and J. Lafuente, 'On complemented nonabelian chief factors of a finite group', Israel J. Math. 106 (1998), 177-188.
9. W. M. Kantor and A. Lubotzky, 'The probability of generating a finite classical group', Geom. Ded. 36 (1990), 67-87.
10. J. Lafuente, 'Crowns and centralizers of chief factors of finite groups', Comm. Algebra 13 (1985), 657-668.
11. A. Mann, 'Positively finitely generated groups', Forum Math. 8 No. 4 (1996), 429-459.
12. A. Mann and A. Shalev, 'Simple groups, maximal subgroups and probabilistic aspects of profinite groups', Israel J. Math. 96 (1996), 449-468.