Holt, Derek; Royle, Gordon; Tracey, Gareth The transitive groups of degree 48 and some applications. (English) Zbl 1515.20030 J. Algebra 607, Part A, 372-386 (2022). Reviewer: Enrico Jabara (Venezia) MSC: 20B25 20B20 20-08 PDFBibTeX XMLCite \textit{D. Holt} et al., J. Algebra 607, 372--386 (2022; Zbl 1515.20030) Full Text: DOI arXiv
Holt, Derek; Tracey, Gareth Comparing the order and the minimal number of generators of a finite irreducible linear group. (English) Zbl 1515.20120 J. Algebra 603, 260-280 (2022). Reviewer: Egle Bettio (Venezia) MSC: 20D60 20F05 20G40 PDFBibTeX XMLCite \textit{D. Holt} and \textit{G. Tracey}, J. Algebra 603, 260--280 (2022; Zbl 1515.20120) Full Text: DOI arXiv
Lucchini, Andrea; Marion, Claude; Tracey, Gareth Generating maximal subgroups of finite almost simple groups. (English) Zbl 1471.20024 Forum Math. Sigma 8, Paper No. e32, 67 p. (2020). Reviewer: Egle Bettio (Venezia) MSC: 20F05 20D05 20E28 PDFBibTeX XMLCite \textit{A. Lucchini} et al., Forum Math. Sigma 8, Paper No. e32, 67 p. (2020; Zbl 1471.20024) Full Text: DOI arXiv
Lucchini, Andrea; Tracey, Gareth Finite groups with large Chebotarev invariant. (English) Zbl 1444.20018 Isr. J. Math. 235, No. 1, 169-182 (2020). Reviewer: Enrico Jabara (Venezia) MSC: 20D60 20F05 20P05 PDFBibTeX XMLCite \textit{A. Lucchini} and \textit{G. Tracey}, Isr. J. Math. 235, No. 1, 169--182 (2020; Zbl 1444.20018) Full Text: DOI arXiv
Tracey, Gareth Invariable generation of permutation and linear groups. (English) Zbl 1458.20028 J. Algebra 524, 250-289 (2019). MSC: 20F05 20B05 20B15 PDFBibTeX XMLCite \textit{G. Tracey}, J. Algebra 524, 250--289 (2019; Zbl 1458.20028) Full Text: DOI arXiv
Tracey, Gareth M. Minimal generation of transitive permutation groups. (English) Zbl 1450.20001 J. Algebra 509, 40-100 (2018). Reviewer: Bettina Wilkens (Windhoek) MSC: 20B05 20F05 PDFBibTeX XMLCite \textit{G. M. Tracey}, J. Algebra 509, 40--100 (2018; Zbl 1450.20001) Full Text: DOI arXiv
Lucchini, Andrea; Tracey, Gareth An upper bound on the Chebotarev invariant of a finite group. (English) Zbl 1380.20027 Isr. J. Math. 219, No. 1, 449-467 (2017). Reviewer: B. A. F. Wehrfritz (London) MSC: 20D60 20F05 20P05 20D99 PDFBibTeX XMLCite \textit{A. Lucchini} and \textit{G. Tracey}, Isr. J. Math. 219, No. 1, 449--467 (2017; Zbl 1380.20027) Full Text: DOI arXiv
Tracey, Gareth M. Generating minimally transitive permutation groups. (English) Zbl 1347.20002 J. Algebra 460, 380-386 (2016). Reviewer: Andrea Lucchini (Padova) MSC: 20B05 20B20 20F05 PDFBibTeX XMLCite \textit{G. M. Tracey}, J. Algebra 460, 380--386 (2016; Zbl 1347.20002) Full Text: DOI arXiv