Ivanov, Alexander; Tuzhilin, Alexey WITHDRAWN: Gromov-Hausdorff Distance and Borsuk Number. arXiv:2203.05991 Preprint, arXiv:2203.05991 [math.GN] (2022); retraction notice ibid. MSC: 51F99 52C17 52C22 BibTeX Cite \textit{A. Ivanov} and \textit{A. Tuzhilin}, ``WITHDRAWN: Gromov-Hausdorff Distance and Borsuk Number'', Preprint, arXiv:2203.05991 [math.GN] (2022); retraction notice ibid. Full Text: arXiv OA License
Ivanov, Alexander; Tuzhilin, Alexey Steiner Ratio and Steiner-Gromov Ratio of Gromov-Hausdorff Space. arXiv:1605.01094 Preprint, arXiv:1605.01094 [math.MG] (2016). MSC: 51F99 BibTeX Cite \textit{A. Ivanov} and \textit{A. Tuzhilin}, ``Steiner Ratio and Steiner-Gromov Ratio of Gromov-Hausdorff Space'', Preprint, arXiv:1605.01094 [math.MG] (2016) Full Text: arXiv OA License
Ivanov, Alexander; Tuzhilin, Alexey Gromov–Hausdorff Distance, Irreducible Correspondences, Steiner Problem, and Minimal Fillings. arXiv:1604.06116 Preprint, arXiv:1604.06116 [math.MG] (2016). MSC: 51F99 BibTeX Cite \textit{A. Ivanov} and \textit{A. Tuzhilin}, ``Gromov--Hausdorff Distance, Irreducible Correspondences, Steiner Problem, and Minimal Fillings'', Preprint, arXiv:1604.06116 [math.MG] (2016) Full Text: arXiv OA License
Ivanov, A. A. The Monster group and Majorana involutions. (English) Zbl 1205.20014 Cambridge Tracts in Mathematics 176. Cambridge: Cambridge University Press (ISBN 978-0-521-88994-0/hbk). xiii, 252 p. (2009). Reviewer: Gernot Stroth (Halle) MSC: 20D08 20-02 20C34 17B69 51E24 PDFBibTeX XMLCite \textit{A. A. Ivanov}, The Monster group and Majorana involutions. Cambridge: Cambridge University Press (2009; Zbl 1205.20014)
Ivanov, Alexander A. (ed.); Shpectorov, Sergey V. (ed.) Mini-workshop: Amalgams for graphs and geometries. (English) Zbl 1077.05501 Oberwolfach Rep. 1, No. 2, Report 25 (2004). MSC: 05-06 51-06 00B05 PDFBibTeX XMLCite \textit{A. A. Ivanov} (ed.) and \textit{S. V. Shpectorov} (ed.), Oberwolfach Rep. 1, No. 2, Report 25 (2004; Zbl 1077.05501) Full Text: DOI Link
Ivanov, A. A. The fourth Janko group. (English) Zbl 1068.20021 Oxford Mathematical Monographs. Oxford: Clarendon Press (ISBN 0-19-852759-4/hbk). xv, 233 p. (2004). Reviewer: Anatoli Kondrat’ev (Ekaterinburg) MSC: 20D08 20-02 20B25 05C25 51E24 20E06 PDFBibTeX XMLCite \textit{A. A. Ivanov}, The fourth Janko group. Oxford: Clarendon Press (2004; Zbl 1068.20021)
Ivanov, A. A.; Pasini, A. A diameter bound for extensions of the \(F_{4}\)(2)-building. (English) Zbl 1030.51011 Eur. J. Comb. 24, No. 6, 685-707 (2003). Reviewer: Johannes Ueberberg (St.Augustin) MSC: 51E24 PDFBibTeX XMLCite \textit{A. A. Ivanov} and \textit{A. Pasini}, Eur. J. Comb. 24, No. 6, 685--707 (2003; Zbl 1030.51011) Full Text: DOI
Ivanov, A. A.; Pasechnik, D. V. \(c\)-extensions of the \(F_{4}\)(2)-building. (English) Zbl 1021.51004 Discrete Math. 264, No. 1-3, 91-110 (2003). Reviewer: Richard Bödi (Adliswil) MSC: 51E24 51D20 PDFBibTeX XMLCite \textit{A. A. Ivanov} and \textit{D. V. Pasechnik}, Discrete Math. 264, No. 1--3, 91--110 (2003; Zbl 1021.51004) Full Text: DOI
Ivanov, A. A.; Wiedorn, C. More on geometries of the Fischer group \(Fi_{22}\). (English) Zbl 1059.51015 J. Algebr. Comb. 16, No. 2, 111-150 (2002). MSC: 51E24 20D08 PDFBibTeX XMLCite \textit{A. A. Ivanov} and \textit{C. Wiedorn}, J. Algebr. Comb. 16, No. 2, 111--150 (2002; Zbl 1059.51015) Full Text: DOI
Ivanov, A. A.; Shpectorov, S. V. Geometry of sporadic groups. II: Representations and amalgams. (English) Zbl 0992.51006 Encyclopedia of Mathematics and Its Applications. 91. Cambridge: Cambridge University Press. xviii, 286 p. (2002). Reviewer: Anatoli Kondrat’ev (Ekaterinburg) MSC: 51E24 20D08 20-02 51-02 PDFBibTeX XMLCite \textit{A. A. Ivanov} and \textit{S. V. Shpectorov}, Geometry of sporadic groups. II: Representations and amalgams. Cambridge: Cambridge University Press (2002; Zbl 0992.51006) Backlinks: MO
Ivanov, A. A. Non-abelian representations of geometries. (English) Zbl 1004.51015 Bannai, Eiichi (ed.) et al., Groups and combinatorics - in memory of Michio Suzuki. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 32, 301-314 (2001). Reviewer: H.Van Maldeghem (Gent) MSC: 51E24 20E32 PDFBibTeX XMLCite \textit{A. A. Ivanov}, Adv. Stud. Pure Math. 32, 301--314 (2001; Zbl 1004.51015)
Ivanov, A. A.; Pasechnik, D. V.; Shpectorov, S. V. Extended \(F_4\)-buildings and the Baby Monster. (English) Zbl 0990.20007 Invent. Math. 144, No. 2, 399-433 (2001). Reviewer: Corinna Wiedorn (Birmingham) MSC: 20D08 20E42 05B25 51D20 51E24 05C25 PDFBibTeX XMLCite \textit{A. A. Ivanov} et al., Invent. Math. 144, No. 2, 399--433 (2001; Zbl 0990.20007) Full Text: DOI arXiv
Baumeister, B.; Ivanov, A. A.; Pasechnik, D. V. A characterization of the Petersen-type geometry of the McLaughlin group. (English) Zbl 0954.51005 Math. Proc. Camb. Philos. Soc. 128, No. 1, 21-44 (2000). Reviewer: G.Stroth (Halle) MSC: 51E24 20D08 PDFBibTeX XMLCite \textit{B. Baumeister} et al., Math. Proc. Camb. Philos. Soc. 128, No. 1, 21--44 (2000; Zbl 0954.51005) Full Text: DOI
Ivanov, A. A. Geometry of sporadic groups. I: Petersen and tilde geometries. (English) Zbl 0933.51006 Encyclopedia of Mathematics and Its Applications. 76. Cambridge: Cambridge University Press. xiii, 408 p. (1999). Reviewer: Anatoli Kondrat’ev (Ekaterinburg) MSC: 51E24 20D08 20-02 PDFBibTeX XMLCite \textit{A. A. Ivanov}, Geometry of sporadic groups. I: Petersen and tilde geometries. Cambridge: Cambridge University Press (1999; Zbl 0933.51006)
Ivanov, A. A. Flag-transitive extensions of dual polar spaces. (English. Russian original) Zbl 0980.51003 Dokl. Math. 58, No. 2, 180-182 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 362, No. 1, 16-18 (1998). Reviewer: M.Kallaher (Pullman) MSC: 51A50 20D45 PDFBibTeX XMLCite \textit{A. A. Ivanov}, Dokl. Math. 58, No. 2, 16--18 (1998; Zbl 0980.51003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 362, No. 1, 16--18 (1998)
Ivanov, A. A.; Shpectorov, S. A new cover of the 3-local geometry of \(\text{Co}_1\). (English) Zbl 0923.51012 Geom. Dedicata 73, No. 3, 237-244 (1998). Reviewer: H.Van Maldeghem (Gent) MSC: 51E24 20D08 PDFBibTeX XMLCite \textit{A. A. Ivanov} and \textit{S. Shpectorov}, Geom. Dedicata 73, No. 3, 237--244 (1998; Zbl 0923.51012) Full Text: DOI
Ivanov, Alexander A. Affine extended dual polar spaces. (English) Zbl 0899.51007 Di Martino, Lino (ed.) et al., Groups and geometries. Proceedings of the conference, Siena, Italy, September 1-7, 1996. Basel: Birkhäuser. Trends in Mathematics. 107-121 (1998). Reviewer: R.Bödi (Tübingen) MSC: 51E24 51A50 PDFBibTeX XMLCite \textit{A. A. Ivanov}, in: Groups and geometries. Proceedings of the conference, Siena, Italy, September 1-7, 1996. Basel: Birkhäuser. 107--121 (1998; Zbl 0899.51007)
Ivanov, A. A.; Liebler, Robert A.; Penttila, Tim; Praeger, Cheryl E. Antipodal distance-transitive covers of complete bipartite graphs. (English) Zbl 0867.05024 Eur. J. Comb. 18, No. 1, 11-33 (1997). Reviewer: A.J.Goodman (Rolla) MSC: 05C25 05E30 20B25 51E15 PDFBibTeX XMLCite \textit{A. A. Ivanov} et al., Eur. J. Comb. 18, No. 1, 11--33 (1997; Zbl 0867.05024) Full Text: DOI
Ivanov, A. A. Exceptional extended dual polar spaces. (English) Zbl 0889.51002 Eur. J. Comb. 18, No. 8, 859-885 (1997). Reviewer: A.Makhnev (Ekaterinburg) MSC: 51A40 51A50 51E24 PDFBibTeX XMLCite \textit{A. A. Ivanov}, Eur. J. Comb. 18, No. 8, 859--885 (1997; Zbl 0889.51002) Full Text: DOI
Ivanov, A. A.; Meierfrankenfeld, Ulrich Simple connectedness of the 3-local geometry of the Monster. (English) Zbl 0888.51011 J. Algebra 194, No. 2, 383-407 (1997). Reviewer: D.Hachenberger (Augsburg) MSC: 51E24 20D08 PDFBibTeX XMLCite \textit{A. A. Ivanov} and \textit{U. Meierfrankenfeld}, J. Algebra 194, No. 2, 383--407 (1997; Zbl 0888.51011) Full Text: DOI
Ivanov, Alexander A.; Shpectorov, Sergey V. The universal nonabelian representation of the Petersen type geometry related to \(J_ 4\). (English) Zbl 0872.51012 J. Algebra 191, No. 2, 541-567 (1997). Reviewer: A.Ivanov (London) MSC: 51E24 20D08 PDFBibTeX XMLCite \textit{A. A. Ivanov} and \textit{S. V. Shpectorov}, J. Algebra 191, No. 2, 541--567 (1997; Zbl 0872.51012) Full Text: DOI
Ivanov, A. A.; Stroth, G. A characterization of 3-local geometry of \(M(24)\). (English) Zbl 0865.51008 Geom. Dedicata 63, No. 3, 227-246 (1996). Reviewer: S.E.Payne (Denver) MSC: 51E24 20D08 PDFBibTeX XMLCite \textit{A. A. Ivanov} and \textit{G. Stroth}, Geom. Dedicata 63, No. 3, 227--246 (1996; Zbl 0865.51008) Full Text: DOI
Ivanov, Alexander A.; Pasechnik, Dmitrii V.; Shpectorov, Sergey V. Non-abelian representations of some sporadic geometries. (English) Zbl 0853.51008 J. Algebra 181, No. 2, 523-557 (1996). Reviewer: Theo Grundhöfer (Würzburg) MSC: 51E24 20D08 20C34 PDFBibTeX XMLCite \textit{A. A. Ivanov} et al., J. Algebra 181, No. 2, 523--557 (1996; Zbl 0853.51008) Full Text: DOI
Ivanov, A. A. On the Buekenhout-Fischer geometry of the Monster. (English) Zbl 0847.51009 Dong, Chongying (ed.) et al., Moonshine, the Monster, and related topics. Joint summer research conference on moonshine, the Monster, and related topics, June 18-23, 1994, Mount Holyoke College, South Hadley, MA, USA. Providence, RI: American Mathematical Society. Contemp. Math. 193, 149-158 (1996). Reviewer: G.Stroth (Halle) MSC: 51E24 20D08 PDFBibTeX XMLCite \textit{A. A. Ivanov}, Contemp. Math. 193, 149--158 (1996; Zbl 0847.51009)
Ivanov, A. A. On geometries of the Fischer groups. (English) Zbl 0823.51015 Eur. J. Comb. 16, No. 2, 163-183 (1995). Reviewer: D.Jungnickel (Augsburg) MSC: 51E24 20D08 PDFBibTeX XMLCite \textit{A. A. Ivanov}, Eur. J. Comb. 16, No. 2, 163--183 (1995; Zbl 0823.51015) Full Text: DOI
Ivanov, A. A.; Shpectorov, S. V. The flag-transitive tilde and Petersen-type geometries are all known. (English) Zbl 0817.20014 Bull. Am. Math. Soc., New Ser. 31, No. 2, 173-184 (1994). Reviewer: G.Stroth (Halle) MSC: 20D08 51E24 20F65 20D05 PDFBibTeX XMLCite \textit{A. A. Ivanov} and \textit{S. V. Shpectorov}, Bull. Am. Math. Soc., New Ser. 31, No. 2, 173--184 (1994; Zbl 0817.20014) Full Text: DOI arXiv
Ivanov, A. A.; Shpectorov, S. V. Natural representations of the \(P\)-geometries of \(Co_ 2\)-type. (English) Zbl 0812.51006 J. Algebra 164, No. 3, 718-749 (1994). Reviewer: N.Knarr (Braunschweig) MSC: 51E24 20D08 PDFBibTeX XMLCite \textit{A. A. Ivanov} and \textit{S. V. Shpectorov}, J. Algebra 164, No. 3, 718--749 (1994; Zbl 0812.51006) Full Text: DOI
Ivanov, A. A.; Shpectorov, S. V. The last flag-transitive \(P\)-geometry. (English) Zbl 0789.51014 Isr. J. Math. 82, No. 1-3, 341-362 (1993). Reviewer: R.Wilson (Birmingham) MSC: 51E24 20D08 PDFBibTeX XMLCite \textit{A. A. Ivanov} and \textit{S. V. Shpectorov}, Isr. J. Math. 82, No. 1--3, 341--362 (1993; Zbl 0789.51014) Full Text: DOI
Ivanov, A. A.; Shpectorov, S. V. An infinite family of simply connected flag-transitive tilde geometries. (English) Zbl 0788.51017 Geom. Dedicata 45, No. 1, 1-23 (1993). Reviewer: H.Van Maldeghem (Gent) MSC: 51E24 20E36 20E42 PDFBibTeX XMLCite \textit{A. A. Ivanov} and \textit{S. V. Shpectorov}, Geom. Dedicata 45, No. 1, 1--23 (1993; Zbl 0788.51017) Full Text: DOI
Ivanov, Alexander A. A presentation for \(J_ 4\). (English) Zbl 0723.20007 Proc. Lond. Math. Soc., III. Ser. 64, No. 2, 369-396 (1992). Reviewer: A.A.Ivanov (Moskva) MSC: 20D08 05C25 20F05 20D05 20B25 51D20 51E24 PDFBibTeX XMLCite \textit{A. A. Ivanov}, Proc. Lond. Math. Soc. (3) 64, No. 2, 369--396 (1992; Zbl 0723.20007) Full Text: DOI
Ivanov, A. A. The minimal parabolic geometry of the Conway group \(Co_ 1\) is simply connected. (English) Zbl 0774.51002 Combinatorics ’90, Proc. Conf., Gaeta/Italy 1990, Ann. Discrete Math. 52, 259-273 (1992). Reviewer: N.I.Osetinski (Moskva) MSC: 51E24 20D08 PDFBibTeX XMLCite \textit{A. A. Ivanov}, Ann. Discrete Math. 52, 259--273 (1992; Zbl 0774.51002)
Ivanov, Alexander A. Geometric presentations of groups with an application to the Monster. (English) Zbl 0788.20016 Proc. Int. Congr. Math., Kyoto/Japan 1990, Vol. II, 1443-1453 (1991). MSC: 20F05 20D08 51E24 05C25 20F65 PDFBibTeX XMLCite \textit{A. A. Ivanov}, in: Proceedings of the international congress of mathematicians (ICM), August 21--29, 1990, Kyoto, Japan. Volume II. Tokyo etc.: Springer-Verlag. 1443--1453 (1991; Zbl 0788.20016)
Ivanov, A. A. A geometric approach to the question of uniqueness for sporadic simple groups. (English. Russian original) Zbl 0823.20017 Sov. Math., Dokl. 43, No. 1, 226-229 (1991); translation from Dokl. Akad. Nauk SSSR 316, No. 5, 1043-1046 (1991). MSC: 20D08 20F65 05C25 51E25 51D20 PDFBibTeX XMLCite \textit{A. A. Ivanov}, Sov. Math., Dokl. 43, No. 1, 226--229 (1991; Zbl 0823.20017); translation from Dokl. Akad. Nauk SSSR 316, No. 5, 1043--1046 (1991)
Ivanov, A. A.; Shpektorov, S. V. P-geometries of \(J_ 4\)-type have no natural representations. (English) Zbl 0728.20013 Bull. Soc. Math. Belg., Sér. A 42, No. 3, 547-560 (1990). Reviewer: G.Stroth (Berlin) MSC: 20D08 51E24 51D20 PDFBibTeX XMLCite \textit{A. A. Ivanov} and \textit{S. V. Shpektorov}, Bull. Soc. Math. Belg., Sér. A 42, No. 3, 547--560 (1990; Zbl 0728.20013)
Ivanov, A. A.; Shpectorov, S. V. The P-geometry for \(M_{23}\) has no non-trivial 2-coverings. (English) Zbl 0712.51009 Eur. J. Comb. 11, No. 4, 373-379 (1990). Reviewer: H.Van Maldeghem MSC: 51E24 20D08 PDFBibTeX XMLCite \textit{A. A. Ivanov} and \textit{S. V. Shpectorov}, Eur. J. Comb. 11, No. 4, 373--379 (1990; Zbl 0712.51009) Full Text: DOI
Ivanov, A. A.; Shpektorov, S. V. Geometries for sporadic groups related to the Petersen graph. II. (English) Zbl 0709.20014 Eur. J. Comb. 10, No. 4, 347-361 (1989). Reviewer: S.A.Syskin MSC: 20D08 51D20 51E24 20D05 05C25 20F65 20D60 20B25 PDFBibTeX XMLCite \textit{A. A. Ivanov} and \textit{S. V. Shpektorov}, Eur. J. Comb. 10, No. 4, 347--361 (1989; Zbl 0709.20014) Full Text: DOI
Ivanov, A. A. Graphs of girth 5 and diagram geometries connected with the Petersen graph. (English. Russian original) Zbl 0743.05024 Sov. Math., Dokl. 36, No. 1, 83-87 (1988); translation from Dokl. Akad. Nauk SSSR 295, 529-533 (1987). MSC: 05C25 05C38 05C35 51B05 PDFBibTeX XMLCite \textit{A. A. Ivanov}, Sov. Math., Dokl. 36, No. 1, 83--87 (1987; Zbl 0743.05024); translation from Dokl. Akad. Nauk SSSR 295, 529--533 (1987)
Ivanov, A. A.; Shpektorov, S. V. A geometry for the O’Nan-Sims group connected with the Petersen graph. (English. Russian original) Zbl 0626.20009 Russ. Math. Surv. 41, No. 3, 211-212 (1986); translation from Usp. Mat. Nauk 41, No. 3(249), 183-184 (1986). Reviewer: D.Held MSC: 20D08 51D20 05C25 PDFBibTeX XMLCite \textit{A. A. Ivanov} and \textit{S. V. Shpektorov}, Russ. Math. Surv. 41, No. 3, 211--212 (1986; Zbl 0626.20009); translation from Usp. Mat. Nauk 41, No. 3(249), 183--184 (1986) Full Text: DOI