Prof. Luis Ribes

School of Mathematics and Statistics

Ph.D., University of Rochester Doctor en Ciencias (Matemáticas), Universidad de Madrid Address: School of Mathematics and Statistics Carleton University Ottawa ON K1S 5B6 Canada

Professor Emeritus Distinguished Research Professor Office 5240 HP Tel. 613 520 2600 Ext 2129 lribes@math.carleton.ca

SELECTED PUBLICATIONS

Books

-- Introduction to profinite groups and Galois cohomology,
    Queen's Papers in Pure Appl. Math., No. 24 , Kingston, 1970. 316 pages. [Reprinted with list of Errata in 1999.]

-- Grupos profinitos: grupos libres y productos libres,
    Monografía No. 5, UNAM, Mexico, 1977, 147 pp.

-- Profinite Groups,
    Ergebnisse der Mathematik und ihrer Grenzgebiete Vol. 40, Springer-Verlag, Berlin-New York, 2000. xiv + 450 pp.
    [Second edition, February, 2010.] (With P. Zalesskii).

-- Profinite Graphs and Groups, 
    Ergebnisse der Mathematik und ihrer Grenzgebiete, Vol. 66, Springer-Verlag, Berlin-New York, 2017. xv + 471 pp.

Papers

-- On a cohomology theory for pairs of groups, Proc. Amer. Math. Soc., 21 (1969) 230-234.

-- Residual finiteness and the Hopf property for rings, J. Algebra, 15 (1970) 81-88. (With M. Orzech).

-- On amalgamated products of profinite groups, Math. Z., 123 (1971) 357-364.

-- Amalgamated products of profinite groups: counterexamples, Proc. Amer. Math. Soc., 37 (1973) 413-416.

-- A Kurosh subgroup theorem for free pro-C-products of pro-C-groups, Trans. Amer. Math. Soc.,
   186 (1973) 309-329. (With D. Gildenhuys).

-- On the cohomology of certain topological colimits of pro-C-groups, J. Algebra, 29 
   (1974) 172-197. (With D. Gildenhuys).

-- A cohomological characterization of amalgamated products of groups, J. Pure Appl. Algebra, 4 (1974) 309-317.

-- Profinite groups and Boolean graphs, J. Pure Appl. Algebra, 12 (1978) 21-47. (With D. Gildenhuys).

-- On prosupersolvable groups, Pacif. J. Math., 77 (1978) 183-188. (With B.C. Oltikar).

-- On the Frattini subgroups of free products of profinite groups, Comm. Algebra, 7 (3) (1979) 33-325.
    (With B.C. Oltikar).

-- Profinite Frobenius groups, Archiv Mathematik, 33 (1979) 518-528. (With D. Gildenhuys, W. Herfort).

-- Profinite completions and isomorphic finite images, J. Pure Appl. Algebra, 23 (1982) 227-231.
   (With J. Dixon, E. Formanek, J. Poland).

-- Torsion elements and centralizers in free products of profinite groups, J. f. d. reine angew. Mathematik
    (Crelles Journal), 358 (1985) 155-161. (With W. Herfort).

-- Frattini covers of profinite groups, Arch. Mathematik, 44 (1985) 390-396.

-- Subgroups of free pro-$p$-products, Math. Proc. Cambridge Phil. Soc., 101 (1987) 197 - 206.
   (With W. Herfort).

-- Solvable subgroups of free products of profinite groups, Proc., Singapore Group Theory Conference,
    391 - 403, Walter de Gruyter, 1989. (With W. Herfort).

-- Frobenius subgroups of free products of prosolvable groups, Monatsh. Mathematik, 108 (1989) 165 -182.
   (With W. Herfort).

-- The Cartesian subgroup of free product of profinite groups, Contemp. Math., 109 (1990) 147 - 158.

-- The shuffle algorithm and the Jordan Canonical form, J. Linear Algebra Appl., 142 (1990) 159 - 165.
    (With J. Dixon, J. Poland, I. Pressman).

-- On automorphisms of free pro-p-groups, Proc. Amer. Math. Soc., 108 (1990) 287-295.
   (With W. Herfort).

-- Virtually free factors of pro-p groups, Israel J. Math., 74 (1991) 337-346.

-- On the profinite topology on a free group, Bull. London Math. Soc., 25 (1993) 37 - 43. (With P. A. Zalesskii).

-- The pro-p topology of a free group and algorithmic problems in semigroups, Intern. J. Algebra Computation,
    4 (1994) 359-374. (With P. Zalesskii).

-- Fixed points of automorphisms of free pro-p groups, Can. J. Math., 47 (2) (1995), 383-404.
   (With W. Herfort, P.A. Zalesskii).

-- Conjugacy separability of amalgamated free products, J. Algebra, 179 (1996) 751-774. (With P. Zalesskii)

-- Conjugacy separability and free products of groups with cyclic amalgamation, J. London Math. Soc., (2) 57 (1998)
    609-628. (With D. Segal and P. Zalesskii).

-- p-extensions of free pro-p groups, Forum Mathematicum, 11 (1999) 49-61. (With W. Herfort and P. Zalesskii).

-- Profinite Topologies in Free Products of Groups, Intern. J. Algebra Computation, 14 (2004) 751-772.
   (With P. Zalesskii).

-- On Quasifree Profinite Groups, Proc. Amer. Math. Soc., 135 (2007) 2669-2676. (With K. Stevenson and P. Zalesskii).

-- Pro-p groups acting on profinite trees, J. Group Theory, 11 (2008) 75-93.

-- A Wreath Product Approach to Classical Subgroup Theorems, L'Enseignement Mathematique, (2) 56 (2010) 49-72.
   (With B. Steinberg).

-- Normalizers in groups and in their profinite completions, Rev. Matem. Iberoamericana, 30 (2014), no. 1, 165-190.
   (With P. Zalesskii).

-- Conjugacy distinguished subgroups, J. Group Theory, 19 (2016), no. 3, 477-495. (With P. Zalesskii).