Brauer indecomposability of Scott modules

DOI10.1016/j.jalgebra.2016.09.021zbMath1378.20012OpenAlexW2525931971MaRDI QIDQ335622

Naoko Kunugi, Hiroki Ishioka

Publication date: 2 November 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2016.09.021

zbMATH Keywords

finite \(p\)-groupsindecomposable modulesrepresentations of finite groupsfusion systemsScott modules

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20) Finite nilpotent groups, (p)-groups (20D15)

Related Items

The Brauer indecomposability of Scott modules with vertex $Q_{2^n}\times C_{2^m}$, Relative stable equivalences of Morita type for the principal blocks of finite groups and relative Brauer indecomposability, The group of splendid Morita equivalences of principal 2-blocks with dihedral and generalised quaternion defect groups, The Brauer indecomposability of Scott modules with wreathed 2-group vertices, Splendid Morita equivalences for principal 2-blocks with dihedral defect groups, The Brauer indecomposability of Scott modules for the quadratic group \(\mathrm{Qd}(p)\), Brauer indecomposability of Scott modules with semidihedral vertex

Cites Work

• On Brauer indecomposability of Scott modules of Park-type groups.
• On saturated fusion systems and Brauer indecomposability of Scott modules.
• On indecomposable modules and blocks
• On the definition of saturated fusion systems
• ON THE BRAUER INDECOMPOSABILITY OF SCOTT MODULES
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