Foundations of the Theory of Groupoids and Groups
Creator: Borůvka, Otakar
Language: English
Publisher: VEB Deutscher Verlag der Wissenschaften
Place: Berlin, 1974
Table of Contents
| [1a],[1]-[4] | [Title pages] |
| [5] | Preface to the English edition |
| [6] | Author's remark |
| [7]-8 | Preface |
| [9]-14 | Contents |
Sets
| [15]-21 | 1. Basic concepts |
| 21-27 | 2. Decompositions (partitions) in sets |
| 27-34 | 3. Decompositions on sets |
| 34-41 | 4. Special decompositions |
| 41-46 | 5. Complementary (commuting) decompositions |
| 46-56 | 6. Mappings of sets |
| 56-60 | 7. Mappings of decompositions |
| 60-69 | 8. Permutations |
| 70-74 | 9. General (multiple-valued) mappings |
| 74-89 | 10. Series of decompositions of sets |
Groupoids
| [90]-94 | 11. Multiplication in sets |
| 94-100 | 12. Basic notions relative to groupoids |
| 101-104 | 13. Homomorphic mappings (deformations) of groupoids |
| 104-109 | 14. Generating decompositions |
| 109-118 | 15. Factoroids |
| 118-125 | 16. Deformations of factoroids |
| 126-131 | 17. Series of factoroids |
| 131-145 | 18. Remarkable kinds of groupoids |
Groups
| [146]-154 | 19. Basic concepts relative to groups |
| 155-157 | 20. Cosets of subgroups |
| 157-164 | 21. Decompositions generated by subgroups |
| 164-169 | 22. Consequences of the properties of decompositions generated by subgroups |
| 169-179 | 23. Special decompositions of groups, generated by subgroups |
| 180-187 | 24. Invariant (normal) subgroups |
| 187-191 | 25. Factor groups |
| 192-197 | 26. Deformations and the isomorphism theorems for groups |
| 198-202 | 27. Cyclic groups |
| [203]-209 | Bibliography |
| [211]-215 | Index |
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