搜索结果: 1-15 共查到“组合数学 2-groups”相关记录22条 . 查询时间(0.36 秒)
We show that for integers k > 1 and n > 2, the diameter of the Cayley graph of SLn(Z/kZ) with respect to a standard two-element generating set, is at most a constant times n2 ln k. This answers a ques...
Determination of Integral Cayley Graphs on Finite Abelian Groups
abelian group character cayley graph integral graph
2012/6/21
A graph is integral means that all its eigenvalues are integers. In this note, we determine all the integral Cayley graphs on finite abelian groups. Moreover, we calculate the the number of integral C...
The geometry of elation groups of a finite projective space
geometry elation groups finite projective space
2012/2/29
We study the geometry of point-orbits of elation groups with a given center and axis of a finite projective space. We show that there exists a 1-1 correspondence from conjugacy classes of such groups ...
An Erdos-Ko-Rado theorem in general linear groups
Erdos-Ko-Rado theorem general linear group Combinatorics
2011/9/9
Abstract: Let $S_n$ be the symmetric group on $n$ points. Deza and Frankl [M. Deza and P. Frankl, On the maximum number of permutations with given maximal or minimal distance, J. Combin. Theory Ser. A...
Co-quasi-invariant spaces for finite reflexion groups
Low degree components Colored quasi-symmetric polynomials
2011/8/24
安徽理工大学共建数据
Abstract: We study, in a global uniform manner, the quotient of the ring of polynomials in l sets of n variables, by the ideal generated by diagonal quasi-invariant polynomials for general permutation...
Fissioned triangular schemes via sharply 3-transitive groups
triangular scheme fusion scheme fission scheme orthogonal space orthogonal groups
2011/8/23
Abstract: n [D. de Caen, E.R. van Dam. Fissioned triangular schemes via the cross-ratio, {Europ. J. Combin.}, 22 (2001) 297-301], de Caen and van Dam constructed a fission scheme $\FT(q+1)$ of the tri...
Abstract: A result of Ben-Or, Coppersmith, Luby and Rubinfeld on testing whether a map be two groups is close to a homomorphism implies a tight lower bound on the distance between the multiplication t...
Conjectures of Alperin and Broue for 2-blocks with elementary abelian defect groups of order 8
Conjectures of Alperin Broue for 2-blocks elementary abelian defect groups of order 8
2011/2/21
Using the classification of finite simple groups, we prove Alperin’s weight conjecture
and the character theoretic version of Brou´e’s abelian defect conjecture for 2-blocks of finite groups wi...
Automorphism groups of Quandles
Quandles isomorphisms automorphism groups inner automorphism groups
2011/2/25
We prove that the automorphism group of the dihedral quandle with n elements is isomorphic
to the affine group of the integers mod n, and also obtain the inner automorphism group of this
quandle. In...
A class of metrizable locally quasi-convex groups which are not Mackey
Mackey group Mackey topology precompact group locally quasi-convex group
2011/2/28
A topological group (G, μ) from a class G of MAP topological abelian groups will be called
a Mackey group in G if it has the following property: if is a group topology in G such that (G, ) ∈ G and...
Groups defined by automata.
Exotic characters of unitriangular matrix groups
Exotic characters unitriangular matrix groups
2011/1/20
Let UTn(q) denote the unitriangular group of unipotent n × n upper triangular matrices over a finite field with cardinality q and prime characteristic p. It has been known for some time that when p is...
OWR: Universal central extensions of gauge groups
Universal central extensions gauge groups
2011/3/1
We indicate how to calculate the universal central extension of the gauge algebra (ad(P)), and how to obtain from this the corresponding universal central extension of the gauge group И...
Let f and g, of weights k′ > k 2, be normalised newforms for Γ0(N), for square-free N > 1, such that, for each Atkin-Lehner involution,the eigenvalues of f and g are equal.
Stable comparison of multidimensional persistent homology groups with torsion
Multidimensional persistent homology shape comparison matching distance
2011/2/22
The present lack of a stable method to compare persistent homology groups with torsion
is a relevant problem in current research about Persistent Homology and its applications in Pattern Recognition.