ISBN-13: 9781032697246 / Twarda / 2024 / 410 str.
This book provides a general, unified approach to the theory of polyadic groups, their normal subgroups and matrix representations.
1. Basic concepts. 2. Varieties of $n$-groups. 3. Partially commutative $n$-groups. 4. Subgroups. 5. Cyclic $n$-groups. 6. Automorphisms. 7. Representations of $n$-groups. 8. Various types of $n$-groups. 9. Geometry induced by $n$-groups. 10. Category of $n$-groups .
Wieslaw A. Dudek received his PhD in Mathematics from Institute of Mathematics of Moldavian Academy of Sciences, Moldova (supervisor V.D. Belousov). A few years later he received an academic degree Dr Sci. (habilitation) at Warsaw University of Technology. His research areas are universal algebra, n-ary systems (especially n-ary groups), quasigroups, algebraic logics and various types of fuzzy sets. He has published more than 150 research papers and 6 books cited in more than 30 monographs. His h-index is 24. He is a member of the editorial board of several mathematical journals and the main editor of the journal Quasigroups and Related Systems.
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