Journal of Siberian Federal University. Mathematics & Physics / On the Regularity Sylows p -subgroups of Symplectic and Orthogonal Groups over Ring Z/pmZ

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2011 4 (4)
Authors
Kolesnikov, Sergey G.; Maltsev, Nikolay V.
Contact information
Kolesnikov, Sergey G. : e-mail: ; Maltsev, Nikolay V. : e-mail:
Keywords
regular p -group; symplectic group; orthogonal group; Sylow subgroup
Abstract

For symplectic Sp2n(Z/pmZ) and orthogonal O+ 2n(Z/pmZ) groups over residue ring of integers Z/pmZ, p - prime integer, m ≥ 1, we investigate analog Wehrfritzs question 8.3 from Kourovka notebook: for which n,m, p Sylow p -subgroups of groups Sp2n(Z/pmZ) and O+ 2n(Z/pmZ) are regular?

Pages
489-497
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/2512