Let ?$G$? be the simple group ?$\mathrm{PSU}(3, 2^{2^n}),\ n > 0$?. For any subgroup ?$H$? of ?$G$?, we compute the Möbius function ?$\mu_L(H, G)$? of ?$H$? in the subgroup lattice ?$L$? of ?$G$?, and the Möbius function ?$\mu_{\bar L}(H, G)$? of ?$H$? in the poset ?$\bar L$? of conjugacy classes of subgroups of ?$G$?. For any prime ?$p$?, we provide the Euler characteristic of the order complex of the poset of non-trivial ?$p$?-subgroups of ?$G$?.

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URN

URN:NBN:SI:doc-FIV6NG9P

COBISSID

18768729

Added

29.05.2020

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Citation

APA:

Zini, Giovanni (2019). The Möbius function of PSU(3, 2sup{2supn}). Ars mathematica contemporanea, volume 16, issue 2, str. 377-401. URN:NBN:SI:doc-FIV6NG9P from http://www.dlib.si

MLA:

Zini, Giovanni. "The Möbius function of PSU(3, 2sup{2supn})." Ars mathematica contemporanea volume 16. issue 2 (2019) str. 377-401.
<http://www.dlib.si/?URN=URN:NBN:SI:doc-FIV6NG9P>

Ars mathematica contemporanea
2008-
(Assembly record)