This paper discusses equicentralizer subgroups of symmetric groups Sand alternatinggroups A. We present the necessary and sufficient conditions for a subgroup of Sor Atobe an equicentralizer subgroup and for the centralizers of two elements in S(or A) to beequal. All the equicentralizer subgroups of Sand Aare completely determined.
机构:
Univ Mary Washington, Dept Math, 1301 Coll Ave, Fredericksburg, VA 22401 USAUniv Mary Washington, Dept Math, 1301 Coll Ave, Fredericksburg, VA 22401 USA
Lehman, L.
Konieczny, J.
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Univ Mary Washington, Dept Math, 1301 Coll Ave, Fredericksburg, VA 22401 USAUniv Mary Washington, Dept Math, 1301 Coll Ave, Fredericksburg, VA 22401 USA
Konieczny, J.
Lipscomb, S.
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机构:Univ Mary Washington, Dept Math, 1301 Coll Ave, Fredericksburg, VA 22401 USA
Lipscomb, S.
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS,
2005,
5
(02):
: 307
-
329
机构:
Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA
Univ Copenhagen, Dept Math Sci, DK-2100 Copenhagen O, DenmarkUniv Calif Irvine, Dept Math, Irvine, CA 92697 USA
Davis, Christopher
Occhipinti, Tommy
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Carleton Coll, Dept Math, Northfield, MN 55057 USAUniv Calif Irvine, Dept Math, Irvine, CA 92697 USA