Some papers of Alexandre Zalesski

G. Hiss and A. Zalesski, The Weil-Steinberg character of finite classical groups, Representation Theory (to appear)

On eigenvalues of group elements in representations of simple algebraic groups and finite Chevalley groups, Acta Appl. Math. (to appear)

A. Camina and N. Gill and A. Zalesski, Large dimensional classical groups and linear spaces, Bull. Belgian Math. Soc. Simon Stevin 15(2008), 705 - 731.

Pham Huu Tiep and A. Zalesski, Hall-Higman type theorems for semisimple elements of finite classical groups, Proc. London Math. Soc. (3) 97(2008), 623 - 668.

A. Zalesski, Minimal polynomials of the elements of prime order in complex irreducible representations of quasi-simple groups, J. Algebra 320(2008), 2496 - 2525.

L. Di Martino and A. Zalesski, Eigenvalues of unipotent elements in cross-characteristic representations of finite classical groups, J. Algebra 319(2008), 2668-2722

A. Zalesski, Hartley's theorem on representations of the general linear groups, Turkish J. Math. 31(2007), supplementary issue, 211 - 225

I.D. Suprunenko and A.E. Zalesski, Fixed vectors for elements in modules for algebraic groups, Intern. J. of Algebra and Computations 17(2007), 1249 - 1261.  pdf-file  

R. Vincent and A. Zalesski, Non-Hurwitz classical groups, London Math. Soc. J. Comput. Math. 10(2007), 21 - 82

C. Rudloff and A.E. Zalesski, On multiplicity 1 eigenvalues of elements in irreducible representations of finite quasi-simple groups, J. Group Theory 10(2007), 585 - 612.  pdf-file  

G. Heide and A. Zalesski, Passman's problem on adjoint representations. In: Groups, Rings and Algebras (Proc. Conf. in Honour of D.S. Passman), Contemporary Math. vol.420, Amer. Math. Soc. 2006, 163 - 176.  pdf-file  

A. Zalesski, The number of distinct eigenvalues of elements in finite linear groups, J. London Math. Soc. (2) 74(2006), 361 - 378.   pdf.file DOI  

I. Suprunenko and A. Zalesski, On restricting representations of simple algebraic groups to semisimple subgroups with two simple components, Trudy Inst. Math. (National Academy of Sciences, Minsk, Belarus) 13(2005), no.2, 109 - 115.  pdf-file 

Pham Huu Tiep and A.E. Zalesski, Real conjugacy classes in algebraic groups and finite groups of Lie type, J. Group Theory 8(2005), 291 - 315. DOI

Ch. Tamburini and A.E. Zalesski, Classical groups in dimension 5 which are Hurwitz, In: `Finite Groups 2003, Proc. Gainesville Conf. on Finite Groups, De Gruyter, 2004, Ed. Ho Chat Yin, Sin P., Pham Huu Tiep, Turull A.', 363 - 372.

Yu.A. Bahturin, A.A. Baranov and A.E. Zalesski, Simple Lie subalgebras of locally finite associative algebras, J. Algebra 281(2004), 225 - 246. DOI

J.D. Dixon and A.E. Zalesski, Finite imprimitive linear groups of prime degree, J. Algebra 276(2004), 340 - 370. DOI

A.S. Kleshchev and A.E. Zalesski, Minimal polynomials of elements of order p in p-modular projective representations of alternating groups, Proc. Amer. Math. Soc. 132(2004), 1605 - 1612. pdf-file 

Pham Huu Tiep and A. Zalesski, Unipotent elements of finite groups of Lie type and realization fields of their complex representations, J. Algebra 271(2004), 327 - 390. DOI

J. Siemons and A. Zalesski, Regular orbits of cyclic subgroups in permutation representations of certain simple groups, J. Algebra 256(2002), 611 - 625.   pdf file DOI

Pham Huu Tiep and A. Zalesski, Reducibility modulo p of complex representations of finite groups of Lie type: Asymptotical result and small characteristic cases, Proc. Amer. Math. Soc. 130(2002), 3177 - 3184.    

Pham Huu Tiep and A. Zalesski, Mod p reducibility of unramified representations of finite groups of Lie type, Proc. London Math. Soc. (3) 84(2002) 439 - 472.  link to article

L. Di Martino and A. Zalesski, Minimum polynomials and lower bounds for eigenvalue multiplicities in representations of classical groups, J. Algebra 243(2001), 228-263. DOI Corrigendum: pdf-file  DOI

P. Fleischmann, W. Lempken and A. Zalesski, Linear groups over GF(2k) generated by a conjugacy class of a fixed point element of order 3, J. Algebra 244(2001), 631 - 663. DOI

A.S. Kondratiev and A. Zalesski, Linear groups of degree at most 27 over residue rings modulo pk, J. Algebra 240(2001), 120 - 142. pdf file DOI Comments pdf-file 

J.M. Osterburg, D.S. Passman and A. Zalesski, Invariant ideals of abelian group algebras under the multiplicative action of a field, II Proc. Amer. Math. Soc. 130(2001), 951 - 957.  pdf file

D.S. Passman and A. Zalesski, Invariant ideals of abelian group algebras under the multiplicative action of a field, I Proc. Amer. Math. Soc. 130(2001), 939 - 949.  pdf file

D.S. Passman and A. Zalesski, Invariant ideals of abelian group algebras and representations of groups of Lie type, Trans. Amer. Math. Soc. 353(2001), 2971 - 2982.  pdf file journal article

A. Baranov and A. Zalesski, Plain representations of Lie algebras J. London Math. Soc. (2) 63(2001), 571 - 591     pdf file

A. Baranov and A. Zalesskii, Quasiclassical Lie algebras. J. Algebra 243 (2001), no. 1, 264-293. DOI

G. Malle and A. Zalesski, Prime power degree representations of quasi-simple groups, Arch. Math.77(2001), 461 - 468.  pdf file DOI

L. Di Martino, Ch. Tamburini and A. Zalesski, On Hurwitz groups of small rank, Comm. Algebra 28(2000), 5383 - 5404.  

I.D. Suprunenko and A. Zalesski, Irreducible representations of finite groups of exceptional Lie type containing matrices with simple spectra, Comm. Algebra 28(2000), no.4, 1789--1833. pdf file

P.H. Tiep and A. Zalesski, Some aspects of finite linear groups: A survey, J. Math. Sciences 100(2000), 1893-1914.   pdf-file

J. Siemons and A. Zalesski, Regular orbits of abelian groups in permutation represenations of PSL(n,q), J.Algebra 226(2000), 451 - 478.   DOI

A.A. Baranov, A.S. Kleshchev and A.E. Zalesskii, Asymptotic results on modular representations of symmetric groups and almost simple modular group algebras, J. Algebra 219 (1999), 506-530.   pdf file DOI

A. Zalesskii, Minimal polynomials and eigenvalues of p-elements in representations of groups with a cyclic Sylow p-subgroup, J. London Math. Soc. 59(1999), 845 -866.

F. Van Oystayen and A. Zalesskii, Finite groups over arithmetical rings and globally irreducible representations, J. Algebra 215(1999), 418 - 436.   pdf file DOICorrections.   pdf-file

J. Dixon, A. Zalesskii, Finite primitive linear groups of prime degree, J. London Math. Soc. (2) 57(1998), 126 - 134.

I.D. Suprunenko, A. Zalesskii, Irreducible representations of finite classical groups containing matrices with simple spectra, Comm. in Algebra 26(1998), 863 - 888.    

A. Zalesskii, Direct limits of finite dimensional algebras and finite groups, In: Proc. Miskolc Ring Theory Conf. 1996, Canadian Math. Soc. Conference Proceedings 22(1998), 221 - 239.    

L. Di Martino, Ch. Tamburini and A. Zalesskii, Carter subgroups of finite classical groups, J. London Math. Soc. (2) 55(1997), 264 - 276. journal article

B. Hartley and A. Zalesskii, Confined subgroups of locally finite simple groups and ideals of their group rings, J. London Math. Soc. (2) 55(1997), 210 - 230. DOI

M. Kuzucuoglu and A. Zalesskii, The Hall universal group as a direct limit of algebraic groups, J. Algebra 192(1997), 55 - 60. DOI

Pham Huu Tiep and A. Zalesskii, Some characterizations of the Weil representations of the symplectic and unitary groups, J. Algebra 192(1997), 130-165. DOI

Pham Huu Tiep and A. Zalesski, Minimal characters of the finite classical groups, Comm. Algebra 24(1996), 2093 - 2167.  

A. Zalesski, The eigenvalues of matrices of projective complex representations of alternating groups (In Russioan) Vesti Akad. Navuk Belarusi, ser. fiz., mat., inform., 1996, no.3, 41 - 43.  

A. Zalesski, Modular group ring of the finitary symmetric group, Israel J. Math. 86(1996), 609-621.  

A. Zalesski, Group rings of simple locally finite groups, In: Finite and locally finite groups, Kluwer, Dordrecht, 1995, pp. 219 - 246.  

Ch. Praeger and A. Zalesski, Orbit lengths of permutation groups, and group rings of locally finite simple group of alternating type, Proc. London Math. Soc. (2) 70(1995), 313 - 335.  

B. Hartley and A. Zalesski, The ideal lattices of the complex group rings of finitary special and general linear groups over finite fields, Math. Proc. Cambr. Phil. Soc. 116(1994), 7 - 25  

A. Zalesski, Linear groups, "Encyclopedia of Mathematical Sciences", vol.37: Algebra IV, Springer-Verlag, Berlin, 1994, 97 - 196.  

M.B. Smirnov and A.E. Zalesski, On identities of graded algebras, Algebra and Analiz (Sanct-Peterburg) 5(1993), 116 - 120  

D.S. Passman and A.E. Zalesski, Semiprimitivity of group algebras of simple locally finite groups. Proc. London Math. Soc. 3(67), 1993, 243 - 276.  

B. Hartley and A.E. Zalesski, On simple periodic linear groups: dense subgroups, permutation representations and induced modules. Isr. J. Math. 82(1993), 299 - 327.  

S.K. Sehgal and A.E. Zalesski, Induced modules and some arithmetic invariants of the finitary symmetric group. Nova J. Algebra and Geometry 2(1993), 89 - 105.  

G. Seitz and A.E. Zalesski, On the minimal degrees of projective representations of the finite Chevalley groups, II J. Algebra 158(1993), DOI

S.K. Sehgal and A.E. Zalesski, Multiplicities of irreducible components of restrictions of complex representations of finite groups to certain subgroups. Comm. in Algebra 21(1993), 37 - 51. 233 - 243.  

Passman and A.E. Zalesski, Semiprimitivity of group algebras of simple locally finite groups. Proc. London Math. Soc. 3(67), 1993, 243 - 276.  

A.E. Zalesski, Simple locally finite groups and their group rings. Tempus Lecture notes "Discrete mathematics and applications", vol.2. Univ. East Anglia, Norwich, 1992, 25pp.  

I.D. Suprunenko and A.E. Zalesski, Irreducible representations of finite Chevalley groups containing a matrix with a simple spectrum. In: "Groups, Combinatorics and Geometry", London Math. Soc. Lecture notes, vol.165. Cambridge Univ. Press, Cambridge, 1992, 327 - 332.  

A.E. Zalesski, Group rings of locally finite groups and representation theory. Proc. International conference on Algebra honoring A. Malcev. Contemporary Math. 131(1992), 453 - 472.  

A.E. Zalesski, Group rings of inductive limits of alternating groups. Leningrad Math. J. 2(1991), 1287 - 1303.  

A.E. Zalesski, A fragment of the decomposition matrix of the special unitary group over a finite field. Math. USSR, Izvestija 36(1991), 23 - 39.  

A.E. Zalesski, The eigenvalue 1 of matrices of complex representations of finite Chevalley groups. Proc. Steklov Inst. of Math. 1991, 109 - 119.  

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 Last updated: 21/04/2008