A Sylow theorem for the integral group ring of PSL(2,q)

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Samenvatting

For G = PSL(2,p^f) denote by ZG the integral group ring over G and by V(ZG) the group of units of augmentation 1 in ZG. Let r be a prime different from p. Using the so-called HeLP-method we prove that units of r-power order in V(ZG) are rationally conjugate to elements of G. As a consequence we prove that subgroups of prime power order in V(ZG) are rationally conjugate to subgroups of G, if p = 2 or f = 1.
Originele taal-2English
Pagina's (van-tot)295-306
Aantal pagina's12
TijdschriftJournal of Algebra
Volume445
DOI's
StatusPublished - 2016

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