Scientific Program |
Barbara Baumeister (Freie Universität Berlin) - The Structure of the finite Bruck loops
Stephen Gagola, III (Bowling Green State University) - The group theory behind Moufang loops
Markku Niemenmaa (University of Oulu) - Centrally nilpotent finite loops
Karl Strambach (University of Erlangen) - Quo vadis Theory of loops and quasigroups?
Petr Vojtěchovský (University of Denver) - Automorphic loops
Ian Wanless (Monash University, Melbourne) - The number of subsquares of a latin square
The following documents are available:
MONDAY |
Prologue (chair A. Drápal) |
9:00-9:50 Karl Strambach: Quo vadis Theory of loops and quasigroups? |
9:50-10:00 short break |
10:00-10:20 Gábor Nagy: Projective realizations of loops and groups |
10:20-10:50 coffee break |
Automorphic loops (chair JD Phillips) |
10:50-11:40 Petr Vojtěchovský: Automorphic loops |
11:45-12:05 Mark Greer: A construction of commutative automorphic loops |
12:10-12:30 Přemysl Jedlička: Commutative centerless loops with metacyclic inner mapping group |
12:45 lunch |
Quasigroups and cryptography (chair K. Johnson) |
14:30-14:50 Danilo Gligoroski: The public key encryption scheme MQQ-ENC |
14:55-15:15 Simona Samardjiska: On a class of left MQQs with degree invariant to parastrophy |
15:20-15:40 Yanling Chen: A standard form of the MQQ generating function and its applications |
15:40-16:10 coffee break |
ROOM A: Quasigroups and cryptography (chair I. Wanless) |
16:10-16:30 Smile Markovski: SQBC - block cipher defined by small quasigroups |
16:35-16:55 Aleksandra Mileva: On some constructions of shapeless quasigroups |
17:00-17:20 Hristina Mihajloska: Obtaining cryptographic S-boxes from quasigroups |
17:25-17:45 Jan Hora: Steiner forms |
ROOM B: Miscellaneous (chair A. Rajah) |
16:35-16:55 Ágota Figula: Extensions of groups by weighted Steiner loops |
17:00-17:20 Maria Giuliani: About half-automorphisms of Chein loops |
17:25-17:45 Ivan Deriyenko: Primary and derivative quasigroups |
TUESDAY |
Classical topics (chair T. Kepka) |
9:00-9:50 Markku Niemenmaa: Finite centrally nilpotent loops |
9:50-10:00 short break |
10:00-10:50 Barbara Baumeister: The structure of the finite Bruck loops |
10:50-11:20 coffee break |
Equational problems (chair A. Krapež) |
11:20-11:40 Donald Keedwell: Quasigroup laws which imply that the quasigroup is a loop or group |
11:45-12:05 J.D. Phillips: Bol-Moufang groupoids of 'group-like' type |
12:10-12:30 Victor A. Shcherbacov: On equational quasigroup definitions & A-nuclei of a quasigroup |
12:45 lunch |
Equational problems (chair P. Csörgö) |
14:30-14:50 José Pérez-Izquierdo: Quasigroup identities on division algebras |
14:55-15:15 Yuri M. Movsisyan: Characterization of left or right linear (T-linear) invertible algebras by functional equations |
15:20-15:40 Aleksandar Krapež: Parastrophically uncancellable quadratic quasigroup equations |
15:40-16:10 coffee break |
ROOM A: Quasigroups and codes (chair S. Markovski) |
16:10-16:30 Verica Bakeva: Comparison of performances of random codes based on quasigroups, Reed-Muller Codes and Reed-Solomon Codes |
16:35-16:55 Vesna Dimitrova: Classifications of quasigroups of order 4 by parastrophic quasigroup transformation |
17:00-17:20 Natasha Ilievska: Comparison of two error-detecting codes based on quasigroups of order 4 |
17:25-17:45 Alexey Yashunsky: Probability distributions convoluted by quasigroups |
ROOM B: Equational problems (chair V. Shcherbacov) |
16:10-16:30 Yakub 'Tunde Oyebo: Isotopy-isomorphy properties of (r; s; t)-inverse loops |
16:35-16:55 Wieslaw Dudek: D-loops |
17:00-17:20 F. Sokhatsky / I. Fryz: Invertibility of repetition compositions and its connection with orthogonality |
17:25-17:45 F. Sokhatsky / H. Krainichuk: About classification of generalized functional equations on quasigroups |
WEDNESDAY |
Combinatorial problems (chair P. Vojtěchovský) |
9:00-9:50 Ian Wanless: The number of subsquares of a latin square |
9:50-10:00 short break |
10:00-10:20 Terry Griggs: DTS-quasigroups |
10:25-10:45 Kenneth Johnson: Determinants of latin squares and quasigroups |
10:45-11:15 coffee break |
Moufang loops (chair J. Hall) |
11:15-12:05 Stephen Gagola: The group theory behind Moufang loops |
12:10-12:30 Piroska Csörgö: On the centrally and nuclearly nilpotence of Moufang loops |
12:45 lunch |
ROOM A: Moufang loops (chair S. Gagola) |
14:30-14:50 Vasilii Ursu: Quasiidentities of finitely generated nilpotent Moufang loop |
14:55-15:15 Andrew Rajah: More properties of minimally nonassociative Moufang loops |
15:20-15:40 Wing Loon Chee: Classification of nonassociative Moufang loops of odd order pq^3, p\neq3 |
ROOM B: Medial quasigroups (chair P. Němec) |
14:30-14:50 Jitka Doležalová: Golden quasigroups, hexagonal quasigroups, and constructions |
14:55-15:15 Stipe Vidak: Pentagonal quasigroups |
15:20-15:40 Zdenka Kolar-Begović: Affine-regular octahedron in GS-quasigroups |
15:40-16:10 coffee break |
Epilogue (chair M. Niemenmaa) |
16:10-16:30 Jan Vlachý: Towards the classification of left distributive quasigroups |
16:35-16:55 Izabella Stuhl: Nuclear extension of quasigroups |
17:00-17:20 Aleš Drápal: A simplified proof of Moufang's theorem |
Lecture rooms are equiped with a computer and a projector. We can also install a classical overhead projector upon request. Small whiteboards will be available for notes. (No big blackboards!) We encourage all participants to prepare computer presentations.
Some of the main lectures will be published in a special issue of the Quasigroups and Related Systems journal.
After the conference, participants are welcome to submit contributed papers. They will be reviewed and, if accepted, published in Commentationes Mathematicae Universitatis Carolinae. If you are interested in submitting a paper, click here to read the instructions.