loops'15 conference program (first day)

LOOPS'15 CONFERENCE PROGRAM (FIRST DAY)

7/1/2015 Morning session Weakly associative loops 9:00 - 9:40 Invited talk: 9:50 - 10:10 10:10 - 10:30 10:30 - 10:50 10:50 - 11:20

11:20 - 11:40 11:40 - 12:00 12:00 - 12:20

Session chair: Fedir Sokhatsky Gabor P. Nagy: Bol loops and decompositions in groups P. Vojtechovsky: Automorphic loops constructed from field extensions A. Drapal: Isomorphism classes for Moufang loops that extend cyclically a group M. Greer: A generalization of Moufang and automorphic loops Coffee break Session chair: Markku Niemenmaa Peter Plaumann: On the existence of half-automorphisms of loops Maria De Lourdes Merlini Giuliani: Half-isomorphisms of Moufang loops - Recent developement J.D. Phillips: Commutant elements in Bol loops Break

12:30 - 12:50 12:50 - 13:10 13:10 - 13:30

K. Johnson: The investigation of S-rings on loops (J. work with S.Hum.) Liudmila Sabinina: Smooth left automorphic Moufang loops: new results Teerapong Suksumran: Lagrange Property of Gyrogroups

Afternoon sesion Session chair: Maria De Lourdes Merlini Giuliani General theory of quasigroups, loops and related structures 16:00 - 16:40 Invited talk: Michael Kinyon: Loops with commuting inner mappings: the state of the art Emma Leppälä and Markku Niemenmaa: Dicyclic groups as inner mapping groups of loops 16:50 - 17:10 David Stanovský: The commutator, solvability and nilpotence of loops 17:10 - 17:30 17:30 - 17:50 F. Sokhatsky and I. Pirus: About parastrophically orthogonal quasigroups 17:50 - 18:20 18:20 - 18:40 18:40 - 19:00

Coffee break Session chair: Ales Drapal P. Jedlička, A. Pilitowska, D. Stanovský and A. Zamojska-Dzienio: Structure of medial quandles L.- C. Kappe and S. Gagola III: On the covering number of loops Break

19:10 - 19:30 19:30 - 19:50 19:50 - 20:10

P. Syrbu: On loops with universal anti-automorphic inverse property S. Tanushevski: A new class of generalized Thompson's groups I. Snopce: Test elements in discrete groups and pro-p groups

LOOPS'15 CONFERENCE PROGRAM (SECOND DAY)

7/2/2015 Session chair: Aleksandra Mileva Morning session Combinatorial and categorical aspects 9:00 - 9:40 Invited talk: Anthony B. Evans: Applications of complete mappings and orthomorphisms of finite groups Ian Wanless: Symmetries of quasigroups 9:50 - 10:10 Janusz Grabowski: Loopoids with applications to discrete mechanics 10:10 - 10:30 Jonathan Smith: Quantum idempotence and quantum distributivity 10:30 - 10:50 10:50 - 11:10 Lidija Goracinova-Ilieva and Smile Markovski: A Construction of Mendelsohn Designs by Using Quasigroups 11:10 - 11:40

Coffee break

Session chair: Ian Wanless Algebraic theory of quasigroups 11:40 - 12:00 Fedir Sokhatsky, Halyna Krainichuk,Olena Tarkovska: Presentation of their results V. Shcherbacov: Quasigroup prolongations (talk given by P.Syrbu) 12:00 - 12:20 Break Equational problems 12:30 - 12:50 12:50 - 13:10 13:10 - 13:30

A.Krapež and B. Marinković: Isotopy Invariant Quasigroup Identities I. Deriyenko and W. Dudek: On some identities in quasigroups R. Koval': About irreducibility of quasigroup functional equations (talk F. S.)

Afternoon sesion Combinatorics 16:00 - 16:20 16:20 - 16:40 16:40 - 16:50 16:50 - 17:10 17:10 - 17:20 17:20 - 17:30

Session chair: Janusz Grabowski A. Mileva and S. Markovski: On construction of orthogonal and d-wise orthogonal d-ary operations I. Fryz: Block composition algorithm for constructing orthogonal multiary operations (talk given by F. Sokhatsky) M. Mihova, B. Petrovski, T. Stojkovski and A. Todorovski: Classes of Isotopic Boolean Bilinear quasigroups of order 8 Marija Mihova: On Boolean Bilinear Quasigroups of Order 2^n Ivan Deriyenko: Configurations of Conjugate Permutations Ivan Deriyenko: Directed Graphs Generated by Permutation

17:30 - 18:00

Coffee break

Session chair: Ivan Deriyenko Medial quasigroups and quandles A. Mucka and A. Romanowska: Duality for some classes of convex sets 18:00 - 18:20 K. Matczak and A. Mućka: Varieties and quasivarieties of 4-symmetricmedial quandles 18:20 - 18:40 Break 18:50 - 19:10 19:10 - 19:30 19:30 - 19:50

Stipe Vidak: The Napoleon-Barlotti theorem in pentagonal quasigroups A. Pilitowska, P. Jedlicka, D. Stanovsky and A. Zamojska-Dzienio: Affine and abelian quandles P. Jedlicka, A. Pilitowska, D. Stanovsky and A. Zamojska-Dzienio: Oncongruences of medial quandles

LOOPS'15 CONFERENCE PROGRAM (THIRD DAY)

7/3/2015 Morning session Session chair: David Stanovský Applications of quasigroups in cryptography and coding theory 9:00 - 9:40 Invited talk: Smile Markovski: Design of crypto primitives based on quasigroups D. Gligoroski, S. Markovski, Lj. Kocarev: Edon family of stream ciphers defined by 9:40 - 9:50 quasigroup H. Mihajloska, D. Gligoroski and S. Samardjiska: π-Cipher from he Theory of Quasigroups Perspective 10:00 - 10:20 V. Bakeva, V. Dimitrova and M. Kostadinoski: Some Properties of PRNG based on 10:20 - 10:40 the Parastrophic Quasigroup Transformation Z. Trajcheska and V. Dimitrova: Using Quasigroups to Design Binary 8×8 Matrices with 10:40 - 11:00 Branch Number 5 11:00 - 11:30

11:30 - 11:50 11:50 - 12:10 12:10 - 12:30 12:30 - 12:50 12:50 - 13:00 13:00 - 13:20

Coffee break Session chair: Aleksandar Krapež D. Mechkaroska, A. Popovska-Mitrovikj and V. Bakeva: Performance of Random Codes Based on Quasigroups in Gaussian channel A. Popovska-Mitrovikj, S. Markovski and V. Bakeva: New DecodingAlgorithms for Random Codes Based on Quasigroups V. Ilievski, A. Popovska-Mitrovikj and V. Bakeva: Transmission of Audio Files using Random Codes Based on Quasigroups N. Ilievska and D. Gligoroski: Impact of the quasigroup order on probability of undetected errors on a model of error-detecting linear code N. Ilievska and D. Gligoroski: A model of error-detecting linear code with fixed length redundancy V. Dimitrievska Ristovska: Results of testing an algorithm for constructing low-discrepancy sequences over F_b

14:00 - 18:00

EXCURSION TO ST. NAUM MONASTERY BY BOAT

21:00 - 24:00

BEER PARTY - COURTESY OF SKOPJE BREWARY "SKOPSKA PIVARA " MUSIC ENSAMBLE "PORTAL" FROM "UGD" - ŠTIP

LAST CONFERENCE DAY, 4 JULY 10:00 - 12:00

Round Table and Panel Discussion