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- W3042955840 abstract "We consider a block B of a finite group with defect group D≅(C2m)n and inertial quotient E containing a Singer cycle (an element of order 2n−1). This implies E=E⋊F, where E≅C2n−1, F≤Cn, and E acts transitively on the elements in D of order 2. We classify the basic Morita equivalence classes of B over a complete discrete valuation ring O: when m=1, B is basic Morita equivalent to the principal block of one of SL2(2n)⋊F, D⋊E, or J1 (where J1 occurs only when n=3). When m>1, B is basic Morita equivalent to D⋊E." @default.
- W3042955840 created "2020-07-23" @default.
- W3042955840 creator A5010610233 @default.
- W3042955840 date "2020-12-01" @default.
- W3042955840 modified "2023-09-23" @default.
- W3042955840 title "2-Blocks whose defect group is homocyclic and whose inertial quotient contains a Singer cycle" @default.
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- W3042955840 doi "https://doi.org/10.1016/j.jalgebra.2020.06.029" @default.
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