TY - BOOK AU - Reiner,Victor TI - Quotients of Coexter Complexes and P-Partitions T2 - Memoirs of the American Mathematical Society SN - 9781470408862 AV - QA608 -- .R456 1992eb U1 - 516.3/5 PY - 1992/// CY - Providence PB - American Mathematical Society KW - Coxeter complexes KW - Partitions (Mathematics) KW - Electronic books N1 - 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 UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113934 ER -