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## LENGTHS OF PARABOLIC SUBGROUPS IN FINITE COXETER GROUPS

#### Sarah B. Hart [1] , Peter J. Rowley [2]

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The definition of length for an element in a Coxeter group was generalized by Perkins and Rowley [7] to assign a length to subsets of a Coxeter group. Here the lengths of irreducible parabolic subgroups of finite Coxeter groups are determined.
Coxeter group, length, parabolic subgroup
Other ID JA23TE56TU Articles Author: Sarah B. Hart Author: Peter J. Rowley
 Bibtex @ { ieja266311, journal = {International Electronic Journal of Algebra}, issn = {1306-6048}, eissn = {1306-6048}, address = {Abdullah HARMANCI}, year = {2011}, volume = {9}, pages = {10 - 37}, doi = {}, title = {LENGTHS OF PARABOLIC SUBGROUPS IN FINITE COXETER GROUPS}, key = {cite}, author = {Hart, Sarah B. and Rowley, Peter J.} } APA Hart, S , Rowley, P . (2011). LENGTHS OF PARABOLIC SUBGROUPS IN FINITE COXETER GROUPS. International Electronic Journal of Algebra, 9 (9), 10-37. Retrieved from http://dergipark.org.tr/ieja/issue/25202/266311 MLA Hart, S , Rowley, P . "LENGTHS OF PARABOLIC SUBGROUPS IN FINITE COXETER GROUPS". International Electronic Journal of Algebra 9 (2011): 10-37 Chicago Hart, S , Rowley, P . "LENGTHS OF PARABOLIC SUBGROUPS IN FINITE COXETER GROUPS". International Electronic Journal of Algebra 9 (2011): 10-37 RIS TY - JOUR T1 - LENGTHS OF PARABOLIC SUBGROUPS IN FINITE COXETER GROUPS AU - Sarah B. Hart , Peter J. Rowley Y1 - 2011 PY - 2011 N1 - DO - T2 - International Electronic Journal of Algebra JF - Journal JO - JOR SP - 10 EP - 37 VL - 9 IS - 9 SN - 1306-6048-1306-6048 M3 - UR - Y2 - 2019 ER - EndNote %0 International Electronic Journal of Algebra LENGTHS OF PARABOLIC SUBGROUPS IN FINITE COXETER GROUPS %A Sarah B. Hart , Peter J. Rowley %T LENGTHS OF PARABOLIC SUBGROUPS IN FINITE COXETER GROUPS %D 2011 %J International Electronic Journal of Algebra %P 1306-6048-1306-6048 %V 9 %N 9 %R %U ISNAD Hart, Sarah B. , Rowley, Peter J. . "LENGTHS OF PARABOLIC SUBGROUPS IN FINITE COXETER GROUPS". International Electronic Journal of Algebra 9 / 9 (June 2011): 10-37.