The Möbius function of PSL(3,2p) for any prime p
Keyword(s):
Let [Formula: see text] be the simple group [Formula: see text], where [Formula: see text] is a prime number. For any subgroup [Formula: see text] of [Formula: see text], we compute the Möbius function [Formula: see text] of [Formula: see text] in the subgroup lattice of [Formula: see text]. To this aim, we describe the intersections of maximal subgroups of [Formula: see text]. We point out some connections of the Möbius function with other combinatorial objects, and, in this context, we compute the reduced Euler characteristic of the order complex of the subposet of [Formula: see text]-subgroups of [Formula: see text], for any prime [Formula: see text] and any prime power [Formula: see text].
1995 ◽
Vol 51
(3)
◽
pp. 495-499
◽
Keyword(s):
2019 ◽
Vol 18
(04)
◽
pp. 1950070
Keyword(s):
1993 ◽
Vol 16
(2)
◽
pp. 373-383
◽
Keyword(s):
2010 ◽
Vol 81
(2)
◽
pp. 343-349
◽
Keyword(s):
1987 ◽
Vol 101
(2)
◽
pp. 221-231
◽
Keyword(s):