Results 11 to 20 of about 3,106 (258)
The invariants of the third symmetric power representation of SL_2(F_p) [PDF]
, 2010 For a prime p>3, we compute a finite generating set for the SL_2(F_p)-invariants of the third symmetric power representation. The proof relies on the construction of an infinite SAGBI basis and uses the Hilbert series calculation of Hughes and ...
R. James Shank +3 more
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On the coinvariants of modular representations of cyclic groups of prime order [PDF]
, 2006 We consider the ring of coinvariants for modular representations of cyclic groups of prime order. For all cases for which explicit generators for the ring of invariants are known, we give a reduced Gröbner basis for the Hilbert ideal and the ...
Shank, R. James, Sezer, Müfit
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Multiplicities of some graded сocharacters of the matrix superalgebra M(2,2)(F) [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаLet $F$ be an arbitrary field of characteristic zero, and let $M^{(m,k)}(F)$ be a matrix superalgebra over $F$. It is known from the theory of algebras with polynomial identities that the superalgebra $M^{(m,k)}(F)$ has a finite basis of $Z_2$-graded ...
Antonov, Stepan Yuryevich +1 more
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Zassenhaus conjecture for central extensions of S5 [PDF]
, 2008 We confirm a conjecture of Zassenhaus about rational conjugacy of torsion units in integral group rings for a covering group of the symmetric group S5 and for the general linear group GLð2; 5Þ. The first result, together with others from the literature,
Bódi, Viktor +4 more
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On irreducible projective representations of finite groups [PDF]
Surveys in Mathematics and its Applications, 2009 The paper is a survey type article inwhich we present some results on irreducible projective representations offinite groups. Section 2 includes Curtis and Reiner's theorem inwhich is proved that a finite group has at most a finite number ofinequivalent ...
Tania-Luminiţa Costache
doaj
Symmetrical Powers of Representations of Finite Groups
Journal of Algebra, 1993 The main result is that if \(V\) is a finite dimensional faithful module for a finite group \(G\) over a field \(K\) and \(c\) is the number of elements of \(G\) which have scalar action on \(V\) then, for large values of \(n\), the sum of \(c\) consecutive symmetric powers \(S_n(V) \oplus S_{n + 1} (V) \oplus \cdots \oplus S_{n + c - 1} (V)\) is close
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Derived Picard groups of symmetric representation-finite algebras of type $D$
, 2021 We explicitly describe the derived Picard groups of symmetric representation-finite algebras of type $D$. In particular, we prove that these groups are generated by spherical twists along collections of $0$-spherical objects, the shift and autoequivalences which come from outer automorphisms of a particular representative of the derived equivalence ...
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The Noether numbers for cyclic groups of prime order [PDF]
, 2006 The Noether number of a representation is the largest degree of an element in a minimal homogeneous generating set for the corresponding ring of invariants.
Woodcock, Chris F. +7 more
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On the distance eigenvalues of Cayley graphs
پژوهشهای ریاضی, 2022 In this paper, graphs are undirected and loop-free and groups are finite. By Cn, Kn and Km,n we mean the cycle graph with n vertices, the complete graph with n vertices and the complete bipartite graph with parts size m and n, respectively.
Majid Arezoomand
doaj
Symmetric Presentations of Coxeter Groups
, 2011 We apply the techniques of symmetric generation to establish the standard presentations of the finite simply laced irreducible finite Coxeter groups, that is, the Coxeter groups of types An, Dn and En, and show that these are naturally arrived at purely ...
Fairbairn, Ben, Ben Fairbairn
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