Publikationsdetails
On the source algebra equivalence class of blocks with cyclic defect groups, II
Abstract
Linckelmann associated an invariant to a cyclic $p$-block of a finite group, which is an indecomposable endo-permutation module over a defect group, and which, together with the Brauer tree of the block, essentially determines its source algebra equivalence class. In Parts II-IV of our series of papers, we classify, for odd~$p$, those endo-permutation modules of cyclic $p$-groups arising from $p$-blocks of quasisimple groups. In the present Part II, we reduce the desired classification for the quasisimple classical groups of Lie type $B$, $C$, and $D$ to the corresponding classification for the general linear and unitary groups, which is also accomplished.
Details
- Organisationseinheit(en)
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Institut für Algebra, Zahlentheorie und Diskrete Mathematik
- Typ
- Preprint
- Publikationsdatum
- 13.02.2025
- Publikationsstatus
- Elektronisch veröffentlicht (E-Pub)
- Elektronische Version(en)
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https://doi.org/10.48550/arXiv.2502.09176 (Zugang:
Offen
)
