منابع مشابه
On Faithful Representations of Lie Groups
where tE:R and I is the unit matrix of degree d. Let GL(K, d) denote the group of all nonsingular matrices of degree d with coefficients in K. Any subgroup of GL(K, d) will be called a linear group of degree d. Let 0 be the identity representation of a linear Lie group G with the Lie algebra 8 so that 9(x) =x (*EG). Then dd is a faithful representation of g and exp dd(X) =0(exp X) =exp X for an...
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By a quasi-permutation matrix, we mean a square non-singular matrix over the complex field with non-negative integral trace....
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in cite{fr 1, fr 2} using faithful complex representations of cyclically pinched and conjugacy pinched one-relator groups we proved that any limit group has a faithful representation in $psl(2,c)$. further this representation can be effectively constructed using the jsj decomposition. in this note we show that any hyperbolic cyclically pinched one-relator group with maximal amalgamated ...
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The minimal faithful permutation degree n(G) of a finite group G is the least positive integer n such that G is isomorphic to a subgroup of the symmetric group Sn. Let AT be a normal subgroup of a finite group G. We prove that n(G/N) $C /i(G) if G/N has no nontrivial Abelian normal subgroup. There is an as yet unproved conjecture that the same conclusion holds if G/N is Abelian. We investigate ...
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for a finite group G, we denote by p(G) the minimal degree of faithful permutation representations of G, and denote by c(G), the minimal degree of faithful representation of G by quasi-permutation matrices over the complex field C. In this paper we will assume that, G is a p-group of exponent p and class 2, where p is prime and cd(G) = {1, |G : Z(G)|^1/2}. Then we will s...
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ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 1949
ISSN: 0386-5991
DOI: 10.2996/kmj/1138833430