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The Automorphism Group of the Strong Order of the Symmetric Group
Author(s) -
Kung Joseph P. S.,
Sutherland David C.
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/s2-37.2.193
Subject(s) - dihedral group , bijection, injection and surjection , order (exchange) , group (periodic table) , dicyclic group , symmetric group , mathematics , alternating group , automorphism , combinatorics , outer automorphism group , p group , quaternion group , pure mathematics , automorphism group , physics , bijection , business , finance , quantum mechanics
For n ⩾3, the group of order‐preserving or order‐reversing bijections of the strong (Bruhat) order on symmetric group S n is isomorphic to the dihedral group of order 8.
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