Scientific Program 


Main Speakers

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

Conference materials

The following documents are available:

Some of the presentations can be downloaded following the links in the program table. If you would like to share your own presentation, please email the organizers.

Schedule and Presentations


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.

Proceedings

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.