Treffer: Nilpotent injectors and conjugacy classes in solvable groups

Title:
Nilpotent injectors and conjugacy classes in solvable groups
Authors:
Geoffrey R. Robinson
Source:
Journal of the Australian Mathematical Society. 71:349-352
Publisher Information:
Cambridge University Press (CUP), 2001.
Publication Year:
2001
Subject Terms:
numbers of conjugacy classes, finite soluble groups, Special subgroups (Frattini, Fitting, etc.), \(k(GV)\)-conjecture, Fitting subgroup, nilpotent injectors, Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks, 0101 mathematics, 01 natural sciences, Arithmetic and combinatorial problems involving abstract finite groups, Group rings of finite groups and their modules (group-theoretic aspects)
Document Type:
Fachzeitschrift Article
File Description:
application/xml
Language:
English
ISSN:
1446-8107
1446-7887
DOI:
10.1017/s1446788700002986
Access URL:
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/B838E037489622449368E73B33A0B998/S1446788700002986a.pdf/div-class-title-nilpotent-injectors-and-conjugacy-classes-in-solvable-groups-div.pdf
https://zbmath.org/1744131
https://doi.org/10.1017/s1446788700002986
https://research.birmingham.ac.uk/portal/en/publications/nilpotent-injectors-and-conjugacy-classes-in-solvable-groups(fabfe703-44d4-4190-9a1d-b7f01d2ba289).html
http://journals.cambridge.org/abstract_S1446788700002986
https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/nilpotent-injectors-and-conjugacy-classes-in-solvable-groups/B838E037489622449368E73B33A0B998
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S1446788700002986
Rights:
Cambridge Core User Agreement
Accession Number:
edsair.doi.dedup.....0a3b6d2f5a0b1848bcd858c5a34dfe64
Database:
OpenAIRE

Weitere Informationen

We provide an upper bound for the order of a nilpotent injector of a finite solvable group with Fitting subgroup of ordern. We also show that the same bound is an upper bound for the number of conjugacy classes, provided that thek(G V)-conjecture holds for solvableGall primes dividingn.