Piroska Lakatos
retired associate professor

room: M408
telephone: 36-52-512900/22799
e-mail: lakatosp@science.unideb.hu
homepage: http://www.math.unideb.hu/~lapi

 

Curriculum vitae Publications Talks Magyar

Curriculum vitae

  • born: Józsa, 27 May 1948

  • university studies: mathematics and descriptive geometry teacher, Lajos Kossuth University, 1966-1971

  • PhD scholarship: 1971-1973

  • assistant lecturer: 1973-1976 (Department of Computer Sciences)

  • assistant professor: 1976-1987 (Department of Computer Sciences)

  • associate professor: 1987-2010 (at Department of Computer Sciences till 1995)

  • university doctor degree: 1973
    title of the thesis: On wreath product of cyclic groups (in Hungarian)

  • candidate degree: 1986 (University of Kiev)
    title of the thesis: Wreath product of Abelian groups and its application in algebraic coding theory (in Russian)

  • habilitation: 2003
    title of the thesis: On representation of finite dimensional algebras and applications (in Hungarian)

  • visiting researcher:
    1982-1986: University of Kiev (Kiev, Soviet Union, corresponding aspirant)
    1994: University of Trento (Trento, Italy, 6 weeks)
    1994: Universität RWTH of Aachen (Aachen, Germany, 3 months)
    1995: University of St. Andrews (St. Andrews, Scotland, 1 month)
    1996, 1998, 2000, 2002, 2004: Carleton University (Ottawa, Canada, 6 months and 1-1 month)
    1998: Universität Saarbrücken (Saarbrücken, Germany, 3 weeks)
    1999: University of Paderborn (Paderborn, Germany, 1 month)

  • knowledge of languages:
    Russian (superlative)
    English (intermediate)

  • reviewer of Zentralblatt für Mathematik and Mathematical Reviews

  • lecture notes:
    Éva Gárdos and Piroska Lakatos, BASIC exercises (Programming ABC-80) (in Hungarian), Tankönyvkiadó, 1982.
    Éva Gárdos, Piroska Lakatos and Zoltán Papp, Introduction to computer science (in Hungarian), Tankönyvkiadó, 1983.

    Piroska Lakatos, Algebraic coding theory (in Hungarian), Lajos Kossuth University, Institute of Mathematics, 1999.

 

Publications

[1] P. Lakatos, On wreath product of cyclic groups (in Hungarian), university doctor university doctor thesis, Lajos Kossuth University, 1973.

[2] P. Lakatos, The structure of wreath product of two cyclic groups of prime power order (in Russian), Publicationes Mathematicae Debrecen, 22 (1975), 293-306.

[3] P. Lakatos and V. I. Sushanski, The coincidence of central series in wreath products (in Russian), Publicationes Mathematicae Debrecen, 23 (1976), 167-176.

[4] P. Lakatos, A. Pethő, Investigation of a class of abelian codes, using a computer, MTA Automatizálási Kutató Intézet Közleményei, 25 (1982), 73-91.

[5] K. Buzási, P. Lakatos and A. Pethő, Code distances of one class of group codes (in Russian), Problemy Peredachi Informacii, 17 (1981), 3-12.
English translation: Problems of Information Transmission 17 (1981), 149-156.

[6] P. Lakatos, Class of nilpotency a multiple wreath product of cyclic groups of prime power order (in Russian), Publicationes Mathematicae Debrecen, 31 (1984), 153-156.

[7] P. Lakatos, Wreath product of Abelian groups and its application in algebraic coding theory (in Russian), candidate thesis, University of Kiev, 1986.

[8] V. Drensky and P. Lakatos, Monomial ideals, group algebras and error correcting codes, Lecture Notes in Computer Science vol. 357, Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, Springer-Verlag, 181-188.

[9] P. Lakatos, Modular group rings and wreath products of groups, Periodica Polytechnica Transportation Engineering, 19 (1991), 57-60.

[10] A. Bovdi and P. Lakatos, On the exponent of the group of normalized units of modular group algebras, Publicationes Mathematicae Debrecen, 42 (1993), 409-415.

[11] P. Lakatos, Characterizations of some classes of quasi-hereditary algebras, Comptes Rendus Mathématiques de L'Académie des Sciences La Société Royale du Canada, 18 (1996), 149-152.

[12] P. Lakatos, On construction of some classes if quasi-hereditary algebras, Communications in Algebra, 5 (1998), 1567-1576.

[13] P. Lakatos, On spectral radius of Coxeter transformation of trees, Publicationes Mathematicae Debrecen, 54 (1999), 181-187.

[14] P. Lakatos, On Coxeter polynomials of wild stars, Linear Algebra and Its Applications, 293 (1999), 159-170.

[15] P. Lakatos, On a theorem of V. Dlab, Algebras and Representation Theory, 3 (2000), 99-103.

[16] P. Lakatos, On a number theoretical application of Coxeter transformations, Rivista di Matematica della Università Parma (6), 3 (2000), 293-301.

[17] P. Lakatos, Salem numbers, PV numbers and spectral radii of Coxeter transformations, Comptes Rendus Mathématiques de L'Académie des Sciences La Société Royale du Canada, 23 (2001), 71-77.

[18] P. Lakatos, Additive functions on trees, Colloquium Mathematicum, 89 (2001), 135-145.

[19] P. Lakatos, On polynomials having zeros on the unit circle, Comptes Rendus Mathématiques de L'Académie des Sciences La Société Royale du Canada, 24 (2002), 91-96.

[20] P. Lakatos, On zeros of reciprocal polynomials, Publicationes Mathematicae Debrecen, 61 (2002), 645-661.

[21] P. Lakatos, On representation of finite dimensional algebras and applications (in Hungarian), habilitation thesis, University of Debrecen, 2002.

[22] V. Dlab and P. Lakatos, On bounds of spectral radii of Coxeter transformations of wild trees, Linear Algebra and Its Applications, 365 (2003), 143-153.

[23] P. Lakatos, A new construction of Salem polynomials, Comptes Rendus Mathématiques de L'Académie des Sciences La Société Royale du Canada, 25 (2003), 47-54.

[24] P. Lakatos and L. Losonczi, On zeros of reciprocal polynomials of odd degree, Journal of Inequalities in Pure and Applied Mathematics, 4 (2003), Article 60, 8 pp.


[25]
P. Lakatos and L. Losonczi, Self-inversive polynomials whose zeros are on the unit circle, Publicationes Mathematicae Debrecen, 65 (2004), 409-420.

[26] P. Lakatos and L. Losonczi, Circular interlacing with reciprocal polynomials, Mathematical Inequalities & Applications, 10 (2007), 761-769.

[27] P. Lakatos and L. Losonczi, Polynomials with all zeros on the unit circle, Acta Mathematica Hungarica, 125 (2009), 341-356.

[28] P. Lakatos, Spectral properties of Coxeter transformation, Southeast Asian Bulletin of Mathematics, 33 (2009), 1105-1112.

[29] P. Lakatos, On finite p-groups with cyclic characteristic series, Publicationes Mathematicae Debrecen, 74 (2009), 187-193.

[30] P. Lakatos, Salem numbers defined by Coxeter transformation, Linear Algebra and Its Applications, 432 (2010), 144-154.

[31] C. Hannusch and P. Lakatos, Construction of self-dual radical 2-codes of given distance, Discrete Mathematics, Algorithms and Applications 4 (2012), 1250052.
 

Talks

[1] On central series of wreath products (in Russian), International Colloquium on Group Theory to the memory of Tibor Szele, 16-20 September 1985, Debrecen.

[2] The coincidence of central series in wreath products (in Russian), XVIIIth Soviet Algebraic Conference, 1985, Kishinev (Soviet Union).

[3] Modular group rings of p-groups and nilpotent wreath products, Second International Colloquium on Group Theory, 18-21 August 1987, Debrecen.

[4] Modular group rings and wreath products of groups, Second International Mathematical Mini Conference, 9-18 August 1988, Budapest.

[5] Modular abelian group codes, International Workshop "Algebraic and Combinatorial Coding Theory", 18-24 September 1988, Varna (Bulgaria).

[6] Abelian group codes, XII. Österreichischer Mathematiker Kongress, 17-22 September 1989, Wien (Austria).

[7] On iterated wreath products, Third International Colloquium on Group Theory, 13-17 August 1990, Debrecen.

[8] On exponent of group of normalized units of modular group algebras, International Conference "Group and Group Rings", 21-24 September 1993, Gliwice (Poland).

[9] On nilpotent wreath products, Conference on Algebra and Combinatorics, 6-12 March 1994, Königstein (Germany).

[10] On construction of some classes of quasi-hereditary algebras, Representation Theory and Computer Algebra Conference, 18-22 March 1997, Kiev (Ukraine).

[11] On the spectral radius of a Coxeter transformation, International Algebraic Conference dedicated to the memory of A. G. Kurosh, 24-28 May 1998, Moscow (Russia).

[12] On the bounds of spectral radius of a Coxeter transformation, The Xth Meeting on Representation Theory of Algebras, 20-21 November 1998, Lennoxville, Quebec (Canada).

[13] On the spectral radius of trees and of Coxeter transformation of trees, The First International Conference, Mathematical Science, ICM99, 21-23 November 1999, Al Ain (United Arab Emirates).

[14] Coxeter transformations and growth functions of Coxeter groups, Eighth International Conference on Group and Group Ring, 6-10 June 2000, Wisla (Poland).

[15] Coxeter transformations applied to number theory, XVth Meeting on Representation Theory of Algebras at the University of Sherbrooke, 7-9 November 2002, Sherbrooke (Canada).

[16] On a semigroup of reciprocal polynomials, 65th Workshop on General Algebra, 20-23 March 2003, Potsdam (Germany).

[17] Zeros of Coxeter and reciprocal polynomials, International conference on algebras, modules and rings, 14-18 July 2003, Lisboa (Portugal).

[18] On spectral properties of Coxeter transformation, 4th International Algebraic Conference in Ukraine, 4-9 August 2003, Lvov (Ukraine).

[19] Zeros of Coxeter and reciprocal polynomials, The Ninth International Conference on Functional Equations and Inequalities, 7-13 September 2003, Zlockie (Poland).

[20] Spectral properties of Coxeter transformation, Special session on Linear Algebra at the AMS Meeting in Athens, 26-27 March 2004, Ohio (USA).

[21] On spectral properties of Coxeter transformation, ICRA XI, 2004. augusztus 10.-21., Patzcuaro, Querentaro (Mexico).

[22] On zeros of self-inversive polynomials, 5th International Algebraic Conference in Ukraine, 2005. július 20.-27., Odessa (Ukraine).

[23] Graphs and famous algebraic integers, Applications of Algebra XIII, 2009. március 9.-14., Zakopane (Poland).


(Other seminar talks in Ukraine, Italy, Germany, England, Scotland, Canada, Hungary)