共查询到20条相似文献,搜索用时 15 毫秒
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LetG be a finite transitive permutation group on a finite setS. LetA be a nonempty subset ofS and denote the pointwise stabilizer ofA inG byC
G
(A). Our main result is the following inequality: [G :C
G
(A)]≥|G||A|/|S|.
This paper is a part of the author’s Ph.D. thesis research, carried out at Tel Aviv University under the supervision of Professor
Marcel Herzog. 相似文献
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V. V. Korableva 《Algebra and Logic》2010,49(3):246-255
Ranks, degrees, subdegrees, and double stabilizers of permutation representations for finite symplectic groups are defined
on cosets with respect to maximal parabolic subgroups. 相似文献
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We show that a finite permutation group containing a regular abelian self-normalizing subgroup is soluble. 相似文献
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Charles C. Sims 《Mathematische Zeitschrift》1968,103(4):276-281
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In the paper, nontrivial permutation representations of minimal degree are studied for finite simple orthogonal groups. For them, we find degrees, ranks, subdegrees, point stabilizers and their pairwise intersections.Translated fromAlgebra i Logika, Vol. 33, No. 6, pp. 603–627, November–December, 1994. 相似文献
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A. V. Vasilyev 《Algebra and Logic》1998,37(1):9-20
A minimal permutation representation of a group is its faithful permutation representation of least degree. Here the minimal
permutation representations of finite simple exceptional twisted groups are studied: their degrees and point stabilizers,
as well as ranks, subdegrees, and double stabilizers, are found. We can thus assert that, modulo the classification of finite
simple groups, the aforesaid parameters are known for all finite simple groups.
Supported by RFFR grant No. 96-01-01893, through the program “Universities of Russia”, and by grant No. RPC300 of ISF and
the Government of Russia.
Translated fromAlgebra i Logika, Vol. 37, No. 1, pp. 17–35, January–February, 1998. 相似文献
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Alexander Hulpke. 《Mathematics of Computation》2000,69(232):1633-1651
The lifting of results from factor groups to the full group is a standard technique for solvable groups. This paper shows how to utilize this approach in the case of non-solvable normal subgroups to compute the conjugacy classes of a finite group.
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An isoperimetric inequality for the Heisenberg groups 总被引:2,自引:0,他引:2
D. Allcock 《Geometric And Functional Analysis》1998,8(2):219-233
We show that the Heisenberg groups of dimension five and higher, considered as Riemannian manifolds, satisfy a quadratic isoperimetric inequality. (This means
that each loop of length L bounds a disk of area ~ L
2.) This implies several important results about isoperimetric inequalities for discrete groups that act either on or on complex hyperbolic space, and provides interesting examples in geometric group theory. The proof consists of explicit
construction of a disk spanning each loop in .
Submitted: April 1997, Final version: November 1997 相似文献
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V. V. Korableva 《Algebra and Logic》2010,49(5):416-425
Ranks, degrees, subdegrees, and double stabilizers of permutation representations for finite simple orthogonal groups in odd
dimensions are defined on cosets with respect to maximal parabolic subgroups. 相似文献
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Motivated by a research on self-dual extended group codes, we consider permutation codes obtained from submodules of a permutation
module of a finite group of odd order over a finite field, and demonstrate that the condition “the extension degree of the
finite field extended by n’th roots of unity is odd” is sufficient but not necessary for the existence of self-dual extended transitive permutation
codes of length n + 1. It exhibits that the permutation code is a proper generalization of the group code, and has more delicate structure
than the group code. 相似文献