Quotients of Coexter Complexes and P-Partitions.

Intro -- Contents -- 1 Introduction -- 2 Coxeter complexes and their quotients -- 2.1 Coxeter complexes -- 2.2 Quotients of Coxeter complexes -- 2.3 General results about quotients -- 2.4 Further general results about Σ(W,S) -- 3 P-partitions for other Coxeter groups -- 3.1 Definitions -- 3.2 P-partitions and Σ(W,S) -- 3.3 Two applications -- 3.4 Multipartite P-partitions -- 4 Quotients by reflection and alternating subgroups, and their diagonal embeddings -- 4.1 Reflection subgroups and their diagonal embeddings -- 4.2 Application: invariants of permutation groups -- 4.3 Alternating subgroups and their diagonal embeddings -- 5 Quotients by a Coxeter element -- 5.1 Introduction and definitions -- 5.2 Primitivity -- 6 Acknowledgments -- Appendix A: Technical results on reflection subgroups.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.