Let G = PSU(n, q) and let chi be a non-trivial unipotent character of G. In this paper, we study when the restriction of chi to H is reducible for any proper subgroup H of G, proving that this is always the case, apart from a few isolated exceptions.
Pellegrini, M. A., On the minimal irreducibility of the unipotent characters of the finite unitary groups, Contributed paper, in ISCHIA GROUP THEORY 2008 - Proceedings of the Conference, (Ischia, 02-04 April 2008), World Scientific Publishing, Singapore 2009: 209-232. 10.1142/9789814277808_0015 [http://hdl.handle.net/10807/55554]
On the minimal irreducibility of the unipotent characters of the finite unitary groups
Pellegrini, Marco Antonio
2009
Abstract
Let G = PSU(n, q) and let chi be a non-trivial unipotent character of G. In this paper, we study when the restriction of chi to H is reducible for any proper subgroup H of G, proving that this is always the case, apart from a few isolated exceptions.
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