@article{RSMUP_2013__129__35_0,
author = {Patassini, Massimiliano},
title = {On the (non-)contractibility of the order complex of the coset poset of an alternating group},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
pages = {35--46},
year = {2013},
publisher = {Seminario Matematico of the University of Padua},
volume = {129},
mrnumber = {3090629},
zbl = {1281.20027},
language = {en},
url = {https://www.numdam.org/item/RSMUP_2013__129__35_0/}
}
TY - JOUR AU - Patassini, Massimiliano TI - On the (non-)contractibility of the order complex of the coset poset of an alternating group JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2013 SP - 35 EP - 46 VL - 129 PB - Seminario Matematico of the University of Padua UR - https://www.numdam.org/item/RSMUP_2013__129__35_0/ LA - en ID - RSMUP_2013__129__35_0 ER -
%0 Journal Article %A Patassini, Massimiliano %T On the (non-)contractibility of the order complex of the coset poset of an alternating group %J Rendiconti del Seminario Matematico della Università di Padova %D 2013 %P 35-46 %V 129 %I Seminario Matematico of the University of Padua %U https://www.numdam.org/item/RSMUP_2013__129__35_0/ %G en %F RSMUP_2013__129__35_0
Patassini, Massimiliano. On the (non-)contractibility of the order complex of the coset poset of an alternating group. Rendiconti del Seminario Matematico della Università di Padova, Tome 129 (2013), pp. 35-46. https://www.numdam.org/item/RSMUP_2013__129__35_0/
[1] , A probabilistic generalization of the Riemann zeta function, Analytic Number Theory, 1 (1996), pp. 155-162. | MR
[2] , The coset poset and the probabilistic zeta function of a finite group, J. Algebra, 225 (2000), pp. 989-1012. | MR
[3] - , Crowns and factorization of the probabilistic zeta function of a finite group, J. Algebra, 265 (2003), pp. 651-668. | MR
[4] , Zu einem von B. H. und H. Neumann gestellten Problem, Math. Nachr., 14 (1955), pp. 249-252. | MR
[5] - - , On the Möbius function of a finite group, Rocky Mountain Journal, 19 (1989), pp. 1003-1034. | MR
[6] , Positively finitely generated groups, Forum Math., 8 (1996), pp. 429-459. | MR
[7] , The Probabilistic Zeta function of , of the Suzuki groups and of the Ree groups , Pacific J. Math., 240 (2009), pp. 185-200. | MR
[8] , On the Dirichlet polynomial of the simple group of Lie type, Università di Padova, 2011, http://paduaresearch.cab.unipd.it/3272/1/Phd_Thesis.pdf,
[9] , On the (non-)contractibility of the order complex of the coset poset of a classical group, J. Algebra, 343 (2011), pp. 37-77. | MR
[10] , Recognizing the non-Frattini abelian chief factors of a finite group from its Probabilistic Zeta function, Accepted by Comm. Algeb., 2011. | MR
[11] , Coefficient of the Probabilistic Zeta function of a monolithic group, Glasgow J. Math., 50 (2008), pp. 75-81. | MR





