Exponent and \(p\)-rank of finite \(p\)-groups and applications.

DOI10.1007/s00013-014-0665-xzbMath1335.20020OpenAlexW1963511098WikidataQ58940341 ScholiaQ58940341MaRDI QIDQ403028

Benjamin Sambale

Publication date: 29 August 2014

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

Full work available at URL: https://doi.org/10.1007/s00013-014-0665-x

zbMATH Keywords

defect groupsfinite \(p\)-groupsLoewy lengths\(p\)-rank\(p\)-blocksexponents of \(p\)-groupsorders of finite groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Modular representations and characters (20C20) Finite nilpotent groups, (p)-groups (20D15)

Related Items (3)

On \(p\)-groups with a maximal elementary abelian normal subgroup of rank \(k\) ⋮ Finite subgroups of Ham and Symp ⋮ Exponent preserving subgroups of the finite simple groups

Uses Software

• GAP

Cites Work

• Brauer's height zero conjecture for metacyclic defect groups.
• Blocks of finite groups and their invariants.
• Groups of prime power order. Vol. 1.
• Groups of prime power order. Vol. 2.
• On the focal defect group of a block, characters of height zero, and lower defect group multiplicities.
• On blocks of finite groups with radical cube zero
• Further evidence for conjectures in block theory.
• The power structure of \(p\)-groups. II.
• The Projective Cover of the Trivial Module Over a Group Algebra of a Finite Group
• 2-Blocks with minimal nonabelian defect groups II
• Sparse fusion systems
• On Loewy lengths of blocks
• Endliche Gruppen I
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