(1) Generic Trivial Source Character Tables of \(\mathrm{PSL}_2(q)\) and \(\mathrm{SL}_2(q)\)
[BFL22] B. Böhmler, N. Farrell and C. Lassueur, Trivial source character tables of \(\mathrm{SL}_2(q)\), Part I,
J. Algebra 598 (2022), 308-350. [doi | arXiv | Oberwolfach Preprint]
contains the following cases:
\(Triv_{\ell}(\mathrm{SL}_2(q))\) with q odd, \(\ell\) odd, \(\ell\mid (q\pm 1)\)
\(Triv_{\ell}(\mathrm{SL}_2(q))\) with q odd, \(\ell=2\), \( q\equiv\pm 3\pmod{8}\)
[FL23] N. Farrell and C. Lassueur, Trivial source character tables of \(\mathrm{SL}_2(q)\), Part II, Proc. Edinburgh Math. Soc. 66 (2023), 689-709. [doi | arXiv]
contains the following cases:
\(Triv_{\ell}(\mathrm{SL}_2(q))\) with \(q\) even, \(\ell\mid (q\pm 1)\)
Open: defining characteristic
(2) Generic Trivial Source Character Tables of Frobenius groups of type \( (C_p\times C_p)\rtimes H\)
[BL26] B. Böhmler and C. Lassueur, Trivial Source Character Tables of Frobenius groups of type \( (C_p\times C_p)\rtimes H\),
To appear in SUT J. Math. [arXiv]
contains the following cases:
\(Triv_p(G)\) for \(G=(C_p\times C_p)\rtimes H\) and one conjugacy class of subgroups of oder \(p\)
\(Triv_p(G)\) for \(G=(C_p\times C_p)\rtimes H\) and \(p+1\) conjugacy classes of subgroups of oder \(p\)
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Contributors: Bernhard Böhmler, Niamh Farrell, Caroline Lassueur, Jaikrishna Patil