Chen, Lei; Giudici, Michael; Praeger, Cheryl E. Vertex-primitive \(s\)-arc-transitive digraphs admitting a Suzuki or Ree group. (English) Zbl 07713632 Eur. J. Comb. 112, Article ID 103729, 11 p. (2023). Reviewer: Seyed Hassan Alavi (Hamedan) MSC: 20B15 20D05 20D06 05C25 05C20 05C75 PDFBibTeX XMLCite \textit{L. Chen} et al., Eur. J. Comb. 112, Article ID 103729, 11 p. (2023; Zbl 07713632) Full Text: DOI arXiv
Bors, Alexander; Giudici, Michael; Praeger, Cheryl E. Automorphism orbits and element orders in finite groups: almost-solubility and the Monster. (English) Zbl 1517.20001 Memoirs of the American Mathematical Society 1427. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6544-5/pbk; 978-1-4704-7543-7/ebook). v, 96 p. (2023). Reviewer: Enrico Jabara (Venezia) MSC: 20-02 20D60 20D45 20D05 PDFBibTeX XMLCite \textit{A. Bors} et al., Automorphism orbits and element orders in finite groups: almost-solubility and the Monster. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 1517.20001) Full Text: DOI arXiv
Glasby, Stephen P.; Niemeyer, Alice C.; Praeger, Cheryl E. Random generation of direct sums of finite non-degenerate subspaces. (English) Zbl 07553086 Linear Algebra Appl. 649, 408-432 (2022). MSC: 20F65 05-08 20D06 68W20 PDFBibTeX XMLCite \textit{S. P. Glasby} et al., Linear Algebra Appl. 649, 408--432 (2022; Zbl 07553086) Full Text: DOI arXiv
Glasby, S. P.; Niemeyer, Alice C.; Praeger, Cheryl E. The probability of spanning a classical space by two non-degenerate subspaces of complementary dimensions. (English) Zbl 1491.51017 Finite Fields Appl. 82, Article ID 102055, 31 p. (2022). Reviewer: Erich W. Ellers (Toronto) MSC: 51N30 51A50 20D06 60D05 PDFBibTeX XMLCite \textit{S. P. Glasby} et al., Finite Fields Appl. 82, Article ID 102055, 31 p. (2022; Zbl 1491.51017) Full Text: DOI arXiv
Glasby, S. P.; Praeger, Cheryl E.; Roney-Dougal, Colva M. Involution centralisers in finite unitary groups of odd characteristic. (English) Zbl 1485.20122 J. Algebra 545, 245-299 (2020). MSC: 20G40 20P05 20D06 20F69 20D60 PDFBibTeX XMLCite \textit{S. P. Glasby} et al., J. Algebra 545, 245--299 (2020; Zbl 1485.20122) Full Text: DOI arXiv Link
Bamberg, John; Praeger, Cheryl E.; Xia, Binzhou The covering radii of the 2-transitive unitary, Suzuki, and Ree groups. (English) Zbl 1439.20002 J. Group Theory 22, No. 1, 103-117 (2019). Reviewer: Anatoli Kondrat’ev (Ekaterinburg) MSC: 20B20 20D06 05B25 05B40 20D60 51D20 PDFBibTeX XMLCite \textit{J. Bamberg} et al., J. Group Theory 22, No. 1, 103--117 (2019; Zbl 1439.20002) Full Text: DOI arXiv Link
Praeger, Cheryl E.; Schneider, Csaba Group factorisations, uniform automorphisms, and permutation groups of simple diagonal type. (English) Zbl 1469.20001 Isr. J. Math. 228, No. 2, 1001-1023 (2018). MSC: 20B15 20E22 20F28 PDFBibTeX XMLCite \textit{C. E. Praeger} and \textit{C. Schneider}, Isr. J. Math. 228, No. 2, 1001--1023 (2018; Zbl 1469.20001) Full Text: DOI arXiv
Fawcett, Joanna B.; Giudici, Michael; Li, Cai Heng; Praeger, Cheryl E.; Royle, Gordon; Verret, Gabriel Primitive permutation groups with a suborbit of length 5 and vertex-primitive graphs of valency 5. (English) Zbl 1435.20004 J. Comb. Theory, Ser. A 157, 247-266 (2018). MSC: 20B15 20D60 05C25 20E28 PDFBibTeX XMLCite \textit{J. B. Fawcett} et al., J. Comb. Theory, Ser. A 157, 247--266 (2018; Zbl 1435.20004) Full Text: DOI arXiv
Bamberg, John; Glasby, S. P.; Popiel, Tomasz; Praeger, Cheryl E.; Schneider, Csaba Point-primitive generalised hexagons and octagons. (English) Zbl 1406.20003 J. Comb. Theory, Ser. A 147, 186-204 (2017). MSC: 20B15 51E12 20D06 05B25 05E18 20B25 PDFBibTeX XMLCite \textit{J. Bamberg} et al., J. Comb. Theory, Ser. A 147, 186--204 (2017; Zbl 1406.20003) Full Text: DOI arXiv
Niemeyer, Alice C.; Praeger, Cheryl E.; Seress, Ákos Estimation problems and randomised group algorithms. (English) Zbl 1282.20001 Detinko, Alla (ed.) et al., Probabilistic group theory, combinatorics, and computing. Lectures from the fifth de Brún workshop on groups, combinatorics, computing, Galway, Ireland, April 11–16, 2011. Berlin: Springer (ISBN 978-1-4471-4813-5/pbk; 978-1-4471-4814-2/ebook). Lecture Notes in Mathematics 2070, 35-82 (2013). Reviewer: John D. Dixon (Ottawa) MSC: 20-04 20-02 20D06 20P05 20G40 68W30 68W20 PDFBibTeX XMLCite \textit{A. C. Niemeyer} et al., Lect. Notes Math. 2070, 35--82 (2013; Zbl 1282.20001) Full Text: DOI
Praeger, Cheryl E.; Seress, Ákos Regular semisimple elements and involutions in finite general linear groups of odd characteristic. (English) Zbl 1282.20056 Proc. Am. Math. Soc. 140, No. 9, 3003-3015 (2012). Reviewer: Nick Gill (Milton Keynes) MSC: 20G40 20D06 20P05 20F69 PDFBibTeX XMLCite \textit{C. E. Praeger} and \textit{Á. Seress}, Proc. Am. Math. Soc. 140, No. 9, 3003--3015 (2012; Zbl 1282.20056) Full Text: DOI
Burness, Timothy C.; Praeger, Cheryl E.; Seress, Ákos Extremely primitive classical groups. (English) Zbl 1260.20003 J. Pure Appl. Algebra 216, No. 7, 1580-1610 (2012). Reviewer: Nick Gill (Milton Keynes) MSC: 20B15 20D06 PDFBibTeX XMLCite \textit{T. C. Burness} et al., J. Pure Appl. Algebra 216, No. 7, 1580--1610 (2012; Zbl 1260.20003) Full Text: DOI
Praeger, Cheryl E.; Seress, Ákos Probabilistic generation of finite classical groups in odd characteristic by involutions. (English) Zbl 1244.20044 J. Group Theory 14, No. 4, 521-545 (2011). Reviewer: Shelly Garion (Bures-sur-Yvettes) MSC: 20G40 20D06 20D25 20F05 20P05 PDFBibTeX XMLCite \textit{C. E. Praeger} and \textit{Á. Seress}, J. Group Theory 14, No. 4, 521--545 (2011; Zbl 1244.20044) Full Text: DOI
Praeger, Cheryl E. Using the finite simple groups. (English) Zbl 1230.20014 Aust. Math. Soc. Gaz. 38, No. 2, 93-97 (2011). MSC: 20D05 20B20 20-01 05C25 PDFBibTeX XMLCite \textit{C. E. Praeger}, Aust. Math. Soc. Gaz. 38, No. 2, 93--97 (2011; Zbl 1230.20014)
Niemeyer, Alice C.; Popiel, Tomasz; Praeger, Cheryl E. On proportions of pre-involutions in finite classical groups. (English) Zbl 1208.20044 J. Algebra 324, No. 5, 1016-1043 (2010). Reviewer: Anatoli Kondrat’ev (Ekaterinburg) MSC: 20G40 20-04 68W30 20D06 PDFBibTeX XMLCite \textit{A. C. Niemeyer} et al., J. Algebra 324, No. 5, 1016--1043 (2010; Zbl 1208.20044) Full Text: DOI
Lübeck, Frank; Niemeyer, Alice C.; Praeger, Cheryl E. Finding involutions in finite Lie type groups of odd characteristic. (English) Zbl 1183.20014 J. Algebra 321, No. 11, 3397-3417 (2009). Reviewer: Mohammad-Reza Darafsheh (Tehran) MSC: 20D06 20G40 20D60 20P05 PDFBibTeX XMLCite \textit{F. Lübeck} et al., J. Algebra 321, No. 11, 3397--3417 (2009; Zbl 1183.20014) Full Text: DOI
Ambrose, Sophie; Neunhöffer, Max; Praeger, Cheryl E.; Schneider, Csaba Generalised sifting in black-box groups. (English) Zbl 1112.20001 LMS J. Comput. Math. 8, 217-250 (2005). MSC: 20-04 20B40 20D08 68W30 68W20 PDFBibTeX XMLCite \textit{S. Ambrose} et al., LMS J. Comput. Math. 8, 217--250 (2005; Zbl 1112.20001) Full Text: DOI arXiv Link
Heath-Brown, D. R.; Praeger, Cheryl E.; Shalev, Aner Permutation groups, simple groups, and sieve methods. (English) Zbl 1091.11035 Isr. J. Math. 148, 347-375 (2005). Reviewer: Mohammad-Reza Darafsheh (Tehran) MSC: 11N45 11N36 20D06 PDFBibTeX XMLCite \textit{D. R. Heath-Brown} et al., Isr. J. Math. 148, 347--375 (2005; Zbl 1091.11035) Full Text: DOI
Fang, Xin Gui; Li, Cai Heng; Praeger, Cheryl E. The locally 2-arc transitive graphs admitting a Ree simple group. (English) Zbl 1058.05034 J. Algebra 282, No. 2, 638-666 (2004). MSC: 05C25 20B25 20D06 PDFBibTeX XMLCite \textit{X. G. Fang} et al., J. Algebra 282, No. 2, 638--666 (2004; Zbl 1058.05034) Full Text: DOI
Praeger, Cheryl E. Quotients and inclusions of finite quasiprimitive permutation groups. (English) Zbl 1045.20002 J. Algebra 269, No. 1, 329-346 (2003). Reviewer: Cai Heng Li (Perth) MSC: 20B05 20B20 20B15 PDFBibTeX XMLCite \textit{C. E. Praeger}, J. Algebra 269, No. 1, 329--346 (2003; Zbl 1045.20002) Full Text: DOI
Praeger, Cheryl E.; Schneider, Csaba Factorisations of characteristically simple groups. (English) Zbl 1014.20012 J. Algebra 255, No. 1, 198-220 (2002). Reviewer: U.Dempwolff (Kaiserslautern) MSC: 20D40 20D05 PDFBibTeX XMLCite \textit{C. E. Praeger} and \textit{C. Schneider}, J. Algebra 255, No. 1, 198--220 (2002; Zbl 1014.20012) Full Text: DOI
Conder, Marston D.; Li, Caiheng; Praeger, Cheryl E. On the Weiss conjecture for finite locally primitive graphs. (English) Zbl 0949.05037 Proc. Edinb. Math. Soc., II. Ser. 43, No. 1, 129-138 (2000). Reviewer: U.Baumann (Dresden) MSC: 05C25 PDFBibTeX XMLCite \textit{M. D. Conder} et al., Proc. Edinb. Math. Soc., II. Ser. 43, No. 1, 129--138 (2000; Zbl 0949.05037) Full Text: DOI
Fang, Xin Gui; Havas, George; Praeger, Cheryl E. On the automorphism groups of quasiprimitive almost simple graphs. (English) Zbl 0980.05032 J. Algebra 222, No. 1, 271-283 (1999). MSC: 05C25 20B25 PDFBibTeX XMLCite \textit{X. G. Fang} et al., J. Algebra 222, No. 1, 271--283 (1999; Zbl 0980.05032) Full Text: DOI
Hassani, Akbar; Nochefranca, Luz R.; Praeger, Cheryl E. Two-arc transitive graphs admitting a two dimensional projective linear group. (English) Zbl 0955.05054 J. Group Theory 2, No. 4, 335-353 (1999). Reviewer: Brigitte Servatius (Worcester) MSC: 05C25 05C75 PDFBibTeX XMLCite \textit{A. Hassani} et al., J. Group Theory 2, No. 4, 335--353 (1999; Zbl 0955.05054) Full Text: DOI
Fang, Xin Gui; Praeger, Cheryl E. Finite two-arc transitive graphs admitting a Ree simple group. (English) Zbl 0945.05031 Commun. Algebra 27, No. 8, 3755-3769 (1999). Reviewer: R.Jajcay (Terre Haute) MSC: 05C25 20F29 20D06 PDFBibTeX XMLCite \textit{X. G. Fang} and \textit{C. E. Praeger}, Commun. Algebra 27, No. 8, 3755--3769 (1999; Zbl 0945.05031) Full Text: DOI
Fang, Xin Gui; Praeger, Cheryl E. Finite two-arc transitive graphs admitting a Suzuki simple group. (English) Zbl 0956.05049 Commun. Algebra 27, No. 8, 3727-3754 (1999). Reviewer: Carl Droms (Harrisonburg) MSC: 05C25 20F29 20D06 PDFBibTeX XMLCite \textit{X. G. Fang} and \textit{C. E. Praeger}, Commun. Algebra 27, No. 8, 3727--3754 (1999; Zbl 0956.05049) Full Text: DOI
Fang, Xin Gui; Praeger, Cheryl E. On graphs admitting arc-transitive actions of almost simple groups. (English) Zbl 0913.05051 J. Algebra 205, No. 1, 37-52 (1998). Reviewer: R.Jajcay (Terre Haute) MSC: 05C25 20B25 PDFBibTeX XMLCite \textit{X. G. Fang} and \textit{C. E. Praeger}, J. Algebra 205, No. 1, 37--52 (1998; Zbl 0913.05051) Full Text: DOI
Praeger, Cheryl E.; Soicher, Leonard H. Low rank representations and graphs for sporadic groups. (English) Zbl 0860.20014 Australian Mathematical Society Lecture Series. 8. Cambridge: Cambridge University Press. xi, 141 p. (1997). Reviewer: R.Wilson (Birmingham) MSC: 20C34 20D08 20-02 05E30 05C25 20D45 PDFBibTeX XMLCite \textit{C. E. Praeger} and \textit{L. H. Soicher}, Low rank representations and graphs for sporadic groups. Cambridge: Cambridge University Press (1997; Zbl 0860.20014)
Li, Cai Heng; Praeger, Cheryl E. Finite groups in which any two elements of the same order are either fused or inverse-fused. (English) Zbl 0883.20013 Commun. Algebra 25, No. 10, 3081-3118 (1997). Reviewer: A.Kondrat’ev (Ekaterinburg) MSC: 20D45 20D60 20D05 20F65 05C25 PDFBibTeX XMLCite \textit{C. H. Li} and \textit{C. E. Praeger}, Commun. Algebra 25, No. 10, 3081--3118 (1997; Zbl 0883.20013) Full Text: DOI
Praeger, Cheryl E.; Zalesskii, A. E. Orbit lengths of permutation groups, and group rings of locally finite simple groups of alternating type. (English) Zbl 0843.16024 Proc. Lond. Math. Soc., III. Ser. 70, No. 2, 313-335 (1995). Reviewer: D.S.Passman (Madison) MSC: 16S34 20E25 20C30 20E32 16D25 20E07 20C07 PDFBibTeX XMLCite \textit{C. E. Praeger} and \textit{A. E. Zalesskii}, Proc. Lond. Math. Soc. (3) 70, No. 2, 313--335 (1995; Zbl 0843.16024) Full Text: DOI
Gardiner, A.; Praeger, Cheryl E. Transitive permutation groups with bounded movement. (English) Zbl 0816.20005 J. Algebra 168, No. 3, 798-803 (1994). Reviewer: W.Knapp (Tübingen) MSC: 20B10 20B05 20B15 20B20 PDFBibTeX XMLCite \textit{A. Gardiner} and \textit{C. E. Praeger}, J. Algebra 168, No. 3, 798--803 (1994; Zbl 0816.20005) Full Text: DOI
Praeger, Cheryl E.; Shi, Wujie A characterization of some alternating and symmetric groups. (English) Zbl 0802.20015 Commun. Algebra 22, No. 5, 1507-1530 (1994). Reviewer: A.Kondrat’ev (Sverdlovsk) MSC: 20D06 20D60 20B30 PDFBibTeX XMLCite \textit{C. E. Praeger} and \textit{W. Shi}, Commun. Algebra 22, No. 5, 1507--1530 (1994; Zbl 0802.20015) Full Text: DOI
Praeger, Cheryl E. On minimal symmetric automorphism groups of finite symmetric graphs. (English) Zbl 0759.05049 Australas. J. Comb. 4, 237-252 (1991). Reviewer: S.C.Althoen (Flint) MSC: 05C25 20B25 PDFBibTeX XMLCite \textit{C. E. Praeger}, Australas. J. Comb. 4, 237--252 (1991; Zbl 0759.05049)
Liebeck, M. W.; Praeger, C. E.; Saxl, J. The maximal factorizations of the finite simple groups and their automorphism groups. (English) Zbl 0703.20021 Mem. Am. Math. Soc. 432, 151 p. (1990). Reviewer: R.A.Wilson MSC: 20D40 20B35 20D06 20G40 20D08 20E28 PDFBibTeX XMLCite \textit{M. W. Liebeck} et al., The maximal factorizations of the finite simple groups and their automorphism groups. Providence, RI: American Mathematical Society (AMS) (1990; Zbl 0703.20021) Full Text: DOI
Praeger, Cheryl E. The inclusion problem for finite primitive permutation groups. (English) Zbl 0653.20005 Proc. Lond. Math. Soc., III. Ser. 60, No. 1, 68-88 (1990). Reviewer: C.E.Praeger MSC: 20B35 20B15 20D30 20B05 PDFBibTeX XMLCite \textit{C. E. Praeger}, Proc. Lond. Math. Soc. (3) 60, No. 1, 68--88 (1990; Zbl 0653.20005) Full Text: DOI
Praeger, Cheryl E. Finite primitive permutation groups: A survey. (English) Zbl 0808.20003 Groups, Sel. Pap. Aust. Natl. Univ. Group Theory Program, 3rd Int. Conf. Theory Groups Rel. Top., Canberra/Aust. 1989, Lect. Notes Math. 1456, 63-84 (1990). MSC: 20B15 20-02 20B40 PDFBibTeX XMLCite \textit{C. E. Praeger}, Lect. Notes Math. None, 63--84 (1990; Zbl 0808.20003)
Praeger, Cheryl E. Highly arc transitive digraphs. (English) Zbl 0677.05041 Eur. J. Comb. 10, No. 3, 281-292 (1989). Reviewer: K.H.Kim MSC: 05C25 05C20 PDFBibTeX XMLCite \textit{C. E. Praeger}, Eur. J. Comb. 10, No. 3, 281--292 (1989; Zbl 0677.05041) Full Text: DOI
Easdown, David; Praeger, Cheryl E. On minimal faithful permutation representations of finite groups. (English) Zbl 0661.20012 Bull. Aust. Math. Soc. 38, No. 2, 207-220 (1988). Reviewer: B.G.Basmaji MSC: 20D60 20B35 20B05 20D20 20D40 PDFBibTeX XMLCite \textit{D. Easdown} and \textit{C. E. Praeger}, Bull. Aust. Math. Soc. 38, No. 2, 207--220 (1988; Zbl 0661.20012) Full Text: DOI
Liebeck, Martin W.; Praeger, Cheryl E.; Saxl, Jan A classification of the maximal subgroups of the finite alternating and symmetric groups. (English) Zbl 0632.20011 J. Algebra 111, 365-383 (1987). Reviewer: S.A.Syskin MSC: 20D06 20D05 20B35 PDFBibTeX XMLCite \textit{M. W. Liebeck} et al., J. Algebra 111, 365--383 (1987; Zbl 0632.20011) Full Text: DOI Backlinks: MO
Praeger, Cheryl E.; Saxl, Jan; Yokoyama, Kazuhiro Distance transitive graphs and finite simple groups. (English) Zbl 0619.05026 Proc. Lond. Math. Soc., III. Ser. 55, 1-21 (1987). Reviewer: M.E.Watkins MSC: 05C25 20B25 PDFBibTeX XMLCite \textit{C. E. Praeger} et al., Proc. Lond. Math. Soc. (3) 55, 1--21 (1987; Zbl 0619.05026) Full Text: DOI
Cameron, P. J.; Praeger, C. E.; Saxl, J.; Seitz, G. M. On the Sims conjecture and distance transitive graphs. (English) Zbl 0536.20003 Bull. Lond. Math. Soc. 15, 499-506 (1983). Reviewer: W.Knapp MSC: 20B15 20B05 05C25 20F65 05C38 PDFBibTeX XMLCite \textit{P. J. Cameron} et al., Bull. Lond. Math. Soc. 15, 499--506 (1983; Zbl 0536.20003) Full Text: DOI
Praeger, Cheryl E. Finite simple groups and finite primitive permutation groups. (English) Zbl 0519.20005 Bull. Aust. Math. Soc. 28, 355-365 (1983). MSC: 20B15 20B20 20D05 PDFBibTeX XMLCite \textit{C. E. Praeger}, Bull. Aust. Math. Soc. 28, 355--365 (1983; Zbl 0519.20005) Full Text: DOI