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The structure of a band of groups
About this Title
Jonathan Leech
Publication: Memoirs of the American Mathematical Society
Publication Year:
1975; Volume 1, Number 157
ISBNs: 978-0-8218-1857-2 (print); 978-1-4704-0543-4 (online)
DOI: https://doi.org/10.1090/memo/0157
MathSciNet review: 0372084
Table of Contents
Chapters
- $\mathcal {H}$-coextensions of monoids
- Introduction
- 1. The categories, $\mathbb {D}(S)$ and $\mathcal {D}(S)$
- 2. Congruences under $\mathcal {H}$
- 3. $\mathcal {H}$-coextensions of monoids
- 4. Split $\mathcal {H}$-coextensions of a monoid
- 5. Abelian coextensions and cohomology
- The structure of a band of groups
- Introduction
- 1. The general case
- 2. Some remarks on the category of bands
- 3. Central bands of groups
- 4. Cohomological considerations
- 5. The case where $\mathbb {B}$ is functorial over $\tilde {\mathbb {B}}$
- 6. The case when $\mathbb {B}$ is an $A$-band
- 7. Remarks on the splitting case