Blocks of defect zero in finite groups with conjugate subgroups of prime order \(p\).

DOI10.1007/s00013-014-0712-7zbMath1315.20008OpenAlexW2004048750MaRDI QIDQ2017422

Yanjun Liu, Guohua Qian, Tian Ze Li

Publication date: 20 March 2015

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-014-0712-7

zbMATH Keywords

finite groups\(p\)-blocks of defect zeroconjugacy classes of subgroups of prime order

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20) Finite simple groups and their classification (20D05)

Related Items

Blocks of defect zero in finite groups with conjugate subgroups of a given prime order

Cites Work

• A finite simple group of Lie type has p-blocks with different defects, \(p\neq 2\)
• Blocks of defect zero in finite simple groups of Lie type
• Blocks of defect zero and products of elements of order \(p\)
• A character theoretic criterion for a \(p\)-closed group.
• Finite Solvable Groups Whose Character Degree Graphs Are Not Complete
• Defect zero blocks for finite simple groups
• Nonsolvable finite groups all of whose local subgroups are solvable
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