On the regularity Sylow's $p$-subgroups of symplectic and orthogonal groups over ring $\mathbb Z/p^m\mathbb Z$
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 4, pp. 489-497
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For symplectic $Sp_{2n}(\mathbb Z/p^m\mathbb Z)$ and orthogonal $O^+_{2n}(\mathbb Z/p^m\mathbb Z)$ groups over residue ring of integers $\mathbb Z/p^m\mathbb Z,$ $p$ – prime integer, $m\ge1,$ we investigate analog Wehrfritz's question 8.3 from Kourovka notebook: for which $n,m,p$ Sylow $p$-subgroups of groups $Sp_{2n}(\mathbb Z/p^m\mathbb Z)$ and $O^+_{2n}(\mathbb Z/p^m\mathbb Z)$ are regular?
Keywords:
regular $p$-group, symplectic group, Sylow subgroup.
Mots-clés : orthogonal group
Mots-clés : orthogonal group
@article{JSFU_2011_4_4_a6,
author = {Sergey G. Kolesnikov and Nikolay V. Maltsev},
title = {On the regularity {Sylow's} $p$-subgroups of symplectic and orthogonal groups over ring $\mathbb Z/p^m\mathbb Z$},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {489--497},
publisher = {mathdoc},
volume = {4},
number = {4},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a6/}
}
TY - JOUR AU - Sergey G. Kolesnikov AU - Nikolay V. Maltsev TI - On the regularity Sylow's $p$-subgroups of symplectic and orthogonal groups over ring $\mathbb Z/p^m\mathbb Z$ JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2011 SP - 489 EP - 497 VL - 4 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a6/ LA - ru ID - JSFU_2011_4_4_a6 ER -
%0 Journal Article %A Sergey G. Kolesnikov %A Nikolay V. Maltsev %T On the regularity Sylow's $p$-subgroups of symplectic and orthogonal groups over ring $\mathbb Z/p^m\mathbb Z$ %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2011 %P 489-497 %V 4 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a6/ %G ru %F JSFU_2011_4_4_a6
Sergey G. Kolesnikov; Nikolay V. Maltsev. On the regularity Sylow's $p$-subgroups of symplectic and orthogonal groups over ring $\mathbb Z/p^m\mathbb Z$. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 4, pp. 489-497. http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a6/