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On the Schur Multipliers of Coxeter Groups
Author(s) -
Howlett Robert B.
Publication year - 1988
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-38.2.263
Subject(s) - coxeter group , coxeter complex , artin group , point group , longest element of a coxeter group , mathematics , coxeter element , schur multiplier , pure mathematics , rank (graph theory) , combinatorics , symmetric group , alternating group
The Schur multipliers of all finite and certain infinite Coxeter groups have been calculated by Ihara and Yokonuma [5] and Yokonuma [7]. The purpose of this paper is to give a unified treatment of the Schur multipliers of all Coxeter groups of finite rank, avoiding the case by case arguments used in [5, 7] and permitting speedy calculations of the Schur mulipliers by inspection of the Coxeter diagram associated with a Coxeter group.
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