{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T17:34:54Z","timestamp":1648748094616},"reference-count":21,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2021,9]]},"abstract":"<jats:p> 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 M\u00f6bius 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 M\u00f6bius 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]. <\/jats:p>","DOI":"10.1142\/s0218196721400014","type":"journal-article","created":{"date-parts":[[2021,6,1]],"date-time":"2021-06-01T07:48:18Z","timestamp":1622533698000},"page":"987-1011","source":"Crossref","is-referenced-by-count":0,"title":["The M\u00f6bius function of PSL(3,2p) for any prime p"],"prefix":"10.1142","volume":"31","author":[{"given":"Martino","family":"Borello","sequence":"first","affiliation":[{"name":"LAGA, UMR 7539, CNRS, Universit\u00e9 Paris, 13 - Sorbonne Paris Cit\u00e9, Universit\u00e9 Paris 8, Saint-Denis, F-93526, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Francesca","family":"Dalla Volta","sequence":"additional","affiliation":[{"name":"Dipartimento di Matematica e Applicazioni, Universit\u00e0 degli Studi di Milano-Bicocca, Via Cozzi, 55, 20125 Milano, Italia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Giovanni","family":"Zini","sequence":"additional","affiliation":[{"name":"Dipartimento di Matematica e Fisica, Universit\u00e0 degli Studi della Campania \u201cLuigi Vanvitelli\u201d, viale Lincoln, 5, 81100 Caserta, Italia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2021,5,31]]},"reference":[{"key":"S0218196721400014BIB001","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1996.0125"},{"key":"S0218196721400014BIB002","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139192576"},{"key":"S0218196721400014BIB003","doi-asserted-by":"publisher","DOI":"10.1007\/s11047-017-9640-3"},{"key":"S0218196721400014BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2010.07.040"},{"key":"S0218196721400014BIB005","volume-title":"ATLAS of Finite Groups","author":"Conway J. 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