Representations of the alternating group which are irreducible over subgroups, II
AffiliationUniv Arizona, Dept Math
MetadataShow full item record
PublisherJOHNS HOPKINS UNIV PRESS
CitationRepresentations of the alternating group which are irreducible over subgroups, II 2016, 138 (5):1383 American Journal of Mathematics
JournalAmerican Journal of Mathematics
Rights© 2016 by Johns Hopkins University Press.
Collection InformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at firstname.lastname@example.org.
AbstractWe prove that non-trivial representations of the alternating group A(n) are reducible over a primitive proper subgroup which is isomorphic to some alternating group A(m). A similar result is established for finite simple classical groups embedded in A(n) via their standard rank 3 permutation representations.
VersionFinal accepted manuscript
SponsorsNSF [DMS-1161094, DMS-0901241, DMS-1201374]; Humboldt Foundation; Simons Foundation ; Simons Foundation Fellowship