E. Bagno and Y. Cherniavsky, Congruence B-Orbits and the Bruhat Poset of Involutions of the Symmetric Group, preprint, available from http

A. Björner and F. Brenti, Combinatorics of Coxeter groups, 2004.

M. B. Can and L. E. Renner, Bruhat-Chevalley order on the rook monoid, preprint, 2008.

Y. Cherniavsky, Involutions of the Symmetric Group and Congruence B-orbits of Anti-Symmetric Matrices, preprint, available from http

A. Hultmnan, On the combinatorics of twisted involutions in Coxeter groups, Transactions of the American Mathematical Society, vol.359, issue.06, pp.2787-2798, 2007.
DOI : 10.1090/S0002-9947-07-04070-6

F. Incitti, The Bruhat Order on the Involutions of the Symmetric Group, Journal of Algebraic Combinatorics, vol.20, issue.3, pp.243-261, 2004.
DOI : 10.1023/B:JACO.0000048514.62391.f4

A. Melnikov, Description of B-orbit closures of order 2 in upper-triangular matrices, Transformation Groups, pp.217-247, 2006.

L. E. Renner, Analogue of the Bruhat decomposition for algebraic monoids, Journal of Algebra, vol.101, issue.2, pp.303-338, 1986.
DOI : 10.1016/0021-8693(86)90197-3

F. Szechtman, Equivalence and congruence of matrices under the action of standard parabolic subgroups, Electronic Journal of Linear Algebra, vol.16, issue.1, pp.325-333, 2007.
DOI : 10.13001/1081-3810.1205