Algebra and Number Theory seminar

• On the diameter of Cayley graphs of classical groups with generating sets containing a transvection, (with Martino Garonzi an Zoltán Halasi) (pdf-file)

• CI-property of C_p^2*C_n and C_p^2*C_q^2 for digraphs, (with István Kovács, Mikhail Muzychuk, Grigory Ryabov, Péter Pál Pálfy) (pdf-file)

• Special directions on the finite affine plane, (with Gergely Kiss) (pdf-file)

• Spectral sets and tiles in Z_p^2*Z_q^2, (with Thomas Fallon and Gergely Kiss) Submitted to Journal of Functional Analysis (pdf-file)

• Fuglede's conjecture holds for cyclic groups of order pqrs, (with Gergely Kiss, Romanos Diogenes Malikiosis, Máté Vizer) Submitted to The Journal of the London Mathematical Society (pdf-file)

• Minimum isosceles containers, (with Gergely Kiss and János Pach) (pdf-file), Journal of Information Processing

• Fuglede's conjecture holds on Zp^2×Zq, (with Gergely Kiss) (pdf-file), Accepted: Proceedings of AMS

• Spectral sets in Zp^2qr tile, (pdf-fILE) submitted to Discrete Analysis

• The Cayley isomorphism property for Zp^3×Zq, (with Mikhail Muzychuk) (pdf-file), Algebraic Combinatorics

• On the discrete Fuglede and Pompeiu problem, (with Gergely Kiss, Romanos Diogenes Malikiosis and Máté Vizer) (pdf-file) Analysis and PDE

• The Cayley isomorphism property for Cayley maps, (with Mikhail Muzychuk) (pdf-file), The Electronic Journal of Combinatorics

• Associative idempotent nondecreasing functions are reducible, (with Gergely Kiss) (pdf-file), Semigroup Forum

• A characterization of n-associative, monotone, idempotent functions on an interval that have neutral elements, (with Gergely Kiss) (pdf-file), Semigroup Forum

• Decomposition of balls in R^d, (with Gergely Kiss) (pdf-file), Mathematica

• Non-expander Cayley graphs of simple groups (pdf-file), Communications in Algebra

• Elementary abelian p-groups of rank 2p+3 are not CI-groups (pdf-file), Journal of Algebraic Combinatorics

• The Cayley isomorphism property for groups of order 8p (pdf-file), Ars Mathematica Contemporanea

• The Cayley isomorphism property for groups of order p^3q (pdf-file)