Result: Centralizer sizes and nilpotency class in Lie algebras and finite 𝑝-groups: Centralizer sizes and nilpotency class in Lie algebras and finite \(p\)-groups.
Title:
Centralizer sizes and nilpotency class in Lie algebras and finite 𝑝-groups: Centralizer sizes and nilpotency class in Lie algebras and finite \(p\)-groups.
Authors:
Source:
Proceedings of the American Mathematical Society. 133:2817-2820
Publisher Information:
American Mathematical Society (AMS), 2005.
Publication Year:
2005
Subject Terms:
Solvable, nilpotent (super)algebras, finite \(p\)-groups, Finite nilpotent groups, \(p\)-groups, dimensions of centralizers, nilpotent Lie algebras, orders of centralizers, nilpotency classes, 0101 mathematics, conjugacy class sizes, 01 natural sciences, Arithmetic and combinatorial problems involving abstract finite groups, Conjugacy classes for groups
Document Type:
Academic journal
Article<br />Other literature type
File Description:
application/xml
Language:
English
ISSN:
1088-6826
0002-9939
0002-9939
DOI:
10.1090/s0002-9939-05-07905-0
Access URL:
Accession Number:
edsair.doi.dedup.....2c624bcf7f3a9daff37a16232a5a0ffd
Database:
OpenAIRE
Further Information
In this work we solve a conjecture of Y. Barnea and M. Isaacs about centralizer sizes and the nilpotency class in nilpotent finite-dimensional Lie algebras and finite p p -groups.