Ryba, Alex Recognition of absolutely irreducible matrix groups that are tensor decomposable or induced. (English) Zbl 1515.20268 J. Algebra 610, 911-934 (2022). MSC: 20G15 20G05 PDFBibTeX XMLCite \textit{A. Ryba}, J. Algebra 610, 911--934 (2022; Zbl 1515.20268) Full Text: DOI
Holt, Derek; Leedham-Green, C. R.; O’Brien, E. A. Constructing composition factors for a linear group in polynomial time. (English) Zbl 1485.20123 J. Algebra 561, 215-236 (2020). MSC: 20G40 20-08 68Q25 PDFBibTeX XMLCite \textit{D. Holt} et al., J. Algebra 561, 215--236 (2020; Zbl 1485.20123) Full Text: DOI Link
Breuer, Thomas; Magaard, Kay; Wilson, Robert A. Verification of the ordinary character table of the baby monster. (English) Zbl 1485.20017 J. Algebra 561, 111-130 (2020). MSC: 20C15 20C34 20D08 20-08 PDFBibTeX XMLCite \textit{T. Breuer} et al., J. Algebra 561, 111--130 (2020; Zbl 1485.20017) Full Text: DOI arXiv
Breuer, Thomas; Hiss, Gerhard; Lübeck, Frank; Lux, Klaus The completion of the \(3\)-modular character table of the Chevalley group \(F_4(2)\) and its covering group. (English) Zbl 1479.20010 Math. Comput. 88, No. 320, 3023-3040 (2019). Reviewer: Alexander Hulpke (Fort Collins) MSC: 20C20 20C33 20-08 PDFBibTeX XMLCite \textit{T. Breuer} et al., Math. Comput. 88, No. 320, 3023--3040 (2019; Zbl 1479.20010) Full Text: DOI arXiv
Görgen, Lukas; Hiss, Gerhard; Lux, Klaus The computation of the 3-modular characters of the Fischer group \(Fi_{23}\). (English) Zbl 1490.20012 Exp. Math. 28, No. 2, 185-193 (2019). MSC: 20C34 20C20 20-08 PDFBibTeX XMLCite \textit{L. Görgen} et al., Exp. Math. 28, No. 2, 185--193 (2019; Zbl 1490.20012) Full Text: DOI
Corr, Brian P. Estimation and computation with matrices over finite fields. (Abstract of thesis). (English) Zbl 1310.20042 Bull. Aust. Math. Soc. 91, No. 1, 175-176 (2015). MSC: 20G40 20-04 68W30 20F05 PDFBibTeX XMLCite \textit{B. P. Corr}, Bull. Aust. Math. Soc. 91, No. 1, 175--176 (2015; Zbl 1310.20042) Full Text: DOI
Bäärnhielm, Henrik; Holt, Derek; Leedham-Green, C. R.; O’Brien, E. A. A practical model for computation with matrix groups. (English) Zbl 1317.20002 J. Symb. Comput. 68, Part 1, 27-60 (2015). Reviewer: John D. Dixon (Ottawa) MSC: 20-04 20G40 20B40 68W30 PDFBibTeX XMLCite \textit{H. Bäärnhielm} et al., J. Symb. Comput. 68, Part 1, 27--60 (2015; Zbl 1317.20002) Full Text: DOI
Bäärnhielm, Henrik Recognising the small Ree groups in their natural representations. (English) Zbl 1303.20009 J. Algebra 416, 139-166 (2014). MSC: 20C40 20G40 20-04 68W30 20F05 PDFBibTeX XMLCite \textit{H. Bäärnhielm}, J. Algebra 416, 139--166 (2014; Zbl 1303.20009) Full Text: DOI arXiv
Brooksbank, Peter A.; Wilson, James B. Computing isometry groups of Hermitian maps. (English) Zbl 1271.20062 Trans. Am. Math. Soc. 364, No. 4, 1975-1996 (2012). Reviewer: Cao Wensheng (Guangdong) MSC: 20G40 20-04 16Z05 68W30 PDFBibTeX XMLCite \textit{P. A. Brooksbank} and \textit{J. B. Wilson}, Trans. Am. Math. Soc. 364, No. 4, 1975--1996 (2012; Zbl 1271.20062) Full Text: DOI
Green, David J.; King, Simon A. The computation of the cohomology rings of all groups of order 128. (English) Zbl 1215.20050 J. Algebra 325, No. 1, 352-363 (2011). MSC: 20J06 20-04 20D15 20C05 16S34 PDFBibTeX XMLCite \textit{D. J. Green} and \textit{S. A. King}, J. Algebra 325, No. 1, 352--363 (2011; Zbl 1215.20050) Full Text: DOI arXiv
Lux, Klaus; Pahlings, Herbert Representations of groups. A computational approach. (English) Zbl 1208.20011 Cambridge Studies in Advanced Mathematics 124. Cambridge: Cambridge University Press (ISBN 978-0-521-76807-8/hbk). x, 460 p. (2010). Reviewer: Mohammad-Reza Darafsheh (Tehran) MSC: 20C40 20C15 20C20 20-02 PDFBibTeX XMLCite \textit{K. Lux} and \textit{H. Pahlings}, Representations of groups. A computational approach. Cambridge: Cambridge University Press (2010; Zbl 1208.20011)
Carlson, Jon F.; Neunhöffer, Max; Roney-Dougal, Colva M. A polynomial-time reduction algorithm for groups of semilinear or subfield class. (English) Zbl 1219.20001 J. Algebra 322, No. 3, 613-637 (2009). Reviewer: John D. Dixon (Ottawa) MSC: 20-04 20G40 68W30 20H20 PDFBibTeX XMLCite \textit{J. F. Carlson} et al., J. Algebra 322, No. 3, 613--637 (2009; Zbl 1219.20001) Full Text: DOI
Bäärnhielm, Henrik Recognising the Suzuki groups in their natural representations. (English) Zbl 1102.20012 J. Algebra 300, No. 1, 171-198 (2006). Reviewer: Robert Wilson (London) MSC: 20C40 20G40 20-04 68W30 20F05 PDFBibTeX XMLCite \textit{H. Bäärnhielm}, J. Algebra 300, No. 1, 171--198 (2006; Zbl 1102.20012) Full Text: DOI arXiv
Conder, M. D. E.; Leedham-Green, C. R.; O’Brien, E. A. Constructive recognition of \(\text{PSL}(2,q)\). (English) Zbl 1105.20013 Trans. Am. Math. Soc. 358, No. 3, 1203-1221 (2006). Reviewer: Alexander Hulpke (Fort Collins) MSC: 20C40 20G40 20C33 20C20 20P05 68W20 68W30 PDFBibTeX XMLCite \textit{M. D. E. Conder} et al., Trans. Am. Math. Soc. 358, No. 3, 1203--1221 (2006; Zbl 1105.20013) Full Text: DOI
Cannon, John J.; Holt, Derek F.; Slattery, Michael; Steel, Allan K. Computing subgroups of bounded index in a finite group. (English) Zbl 1124.20014 J. Symb. Comput. 40, No. 2, 1013-1022 (2005). MSC: 20D30 68W30 20D10 20E45 20B40 20-04 PDFBibTeX XMLCite \textit{J. J. Cannon} et al., J. Symb. Comput. 40, No. 2, 1013--1022 (2005; Zbl 1124.20014) Full Text: DOI
Cannon, John J.; Eick, Bettina; Leedham-Green, Charles R. Special polycyclic generating sequences for finite soluble groups. (English) Zbl 1125.20304 J. Symb. Comput. 38, No. 5, 1445-1460 (2004). MSC: 20D10 20F05 20D30 20-04 68W30 PDFBibTeX XMLCite \textit{J. J. Cannon} et al., J. Symb. Comput. 38, No. 5, 1445--1460 (2005; Zbl 1125.20304) Full Text: DOI
Green, David J. Gröbner bases and the computation of group cohomology. (English) Zbl 1050.20036 Lecture Notes in Mathematics 1828. Berlin: Springer (ISBN 3-540-20339-7/pbk). xi, 138 p. (2003). Reviewer: Daniel Juan Pineda (Michoacan) MSC: 20J06 20-04 20-02 16E05 16Z05 13P10 68W30 PDFBibTeX XMLCite \textit{D. J. Green}, Gröbner bases and the computation of group cohomology. Berlin: Springer (2003; Zbl 1050.20036) Full Text: DOI
Müller, Jürgen; Neunhöffer, Max; Röhr, Frank; Wilson, Robert Completing the Brauer trees for the sporadic simple Lyons group. (English) Zbl 1053.20012 LMS J. Comput. Math. 5, 18-33 (2002). MSC: 20C34 20C40 20C20 20D08 PDFBibTeX XMLCite \textit{J. Müller} et al., LMS J. Comput. Math. 5, 18--33 (2002; Zbl 1053.20012) Full Text: DOI Link
Bray, John N.; Suleiman, Ibrahim A. I.; Walsh, Peter G.; Wilson, Robert A. Generating maximal subgroups of sporadic simple groups. (English) Zbl 0987.20005 Commun. Algebra 29, No. 3, 1325-1337 (2001). Reviewer: Anatoli Kondrat’ev (Ekaterinburg) MSC: 20D08 20E28 20E45 20F05 20-04 PDFBibTeX XMLCite \textit{J. N. Bray} et al., Commun. Algebra 29, No. 3, 1325--1337 (2001; Zbl 0987.20005) Full Text: DOI
Müller, Jürgen The 2-modular decomposition matrices of the symmetric groups \(S_{15}\), \(S_{16}\), and \(S_{17}\). (English) Zbl 0982.20008 Commun. Algebra 28, No. 10, 4997-5005 (2000). Reviewer: Alexander Hulpke (Columbus) MSC: 20C30 20C20 20C40 PDFBibTeX XMLCite \textit{J. Müller}, Commun. Algebra 28, No. 10, 4997--5005 (2000; Zbl 0982.20008) Full Text: DOI
Suleiman, Ibrahim A. I.; Walsh, Peter G.; Wilson, Robert A. Conjugacy classes in sporadic simple groups. (English) Zbl 0986.20015 Commun. Algebra 28, No. 7, 3209-3222 (2000). Reviewer: Victor Mazurov (Novosibirsk) MSC: 20D08 20E45 20-04 PDFBibTeX XMLCite \textit{I. A. I. Suleiman} et al., Commun. Algebra 28, No. 7, 3209--3222 (2000; Zbl 0986.20015) Full Text: DOI
Müller, Jürgen; Rosenboom, Jens Condensation of induced representations and an application: The \(2\)-modular decomposition numbers of \(Co_2\). (English) Zbl 0945.20008 Dräxler, P. (ed.) et al., Computational methods for representations of groups and algebras. Proceedings of the Euroconference in Essen, Germany, April 1-5, 1997. Basel: Birkhäuser. Prog. Math. 173, 309-321 (1999). Reviewer: W.Lempken (Essen) MSC: 20C40 20C34 20C20 PDFBibTeX XMLCite \textit{J. Müller} and \textit{J. Rosenboom}, Prog. Math. 173, 309--321 (1999; Zbl 0945.20008)
Holt, Derek F.; Rees, Sarah Computing with Abelian sections of finitely presented groups. (English) Zbl 0960.20018 J. Algebra 214, No. 2, 714-728 (1999). MSC: 20F05 20-04 68W30 PDFBibTeX XMLCite \textit{D. F. Holt} and \textit{S. Rees}, J. Algebra 214, No. 2, 714--728 (1999; Zbl 0960.20018) Full Text: DOI Link
Lux, Klaus; Müller, Jürgen; Ringe, Michael Peakword condensation and submodule lattices: An application of the Meat- Axe. (English) Zbl 0828.16001 J. Symb. Comput. 17, No. 6, 529-544 (1994). MSC: 16Z05 68W30 06C05 20C05 PDFBibTeX XMLCite \textit{K. Lux} et al., J. Symb. Comput. 17, No. 6, 529--544 (1994; Zbl 0828.16001) Full Text: DOI Link