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93.937  Articles
1 of 9.395 pages  |  10  records  |  more records»
Mathematics of music and sound production brings to bear the physical and practical application of Mathematics in the field of Music. The composition of songs involves the principle of key scaling, their respective interval as calculated with the aid of a... see more

In this paper we will study the new type of triangular representations of the symmetric groups which is called the first triangular representations of the symmetric groups over a field K of characteristic p=0.

In this paper we will study the new type of triangular representations of the symmetric groups which is called the first triangular representations of the symmetric groups over a field K of characteristic pdivides(n-2).

In this paper it is proved that:A) Up to isomorphism and duality there are exactly two possible orbital structures for a putative symmetric block design with parameters (153, 57, 21) constructed using the Frobenius group F_{17·16}B) Up to isomorphism and ... see more

In this paper we have proved that a Frobenius group of order 301cannot operate on a symmetric block design with parameters (430,78,14).

The Hurwitz space  is the space of genus  covers of the Riemann sphere  with branch points and the monodromy group . Let be the symmetric group . In this paper, we enumerate the connected components of . Our approach uses computational tool... see more

Let G be a connected real semisimple Lie group with finite center and ? be a Cartan involution of G. Suppose that K is the maximal compact subgroup of G corresponding to the Cartan involution ?. The coset space X = G/K is then a Riemannian symmetric space... see more

In this paper it is proved that:A) Up to isomorphism and duality there are exactly two possible orbital structures for a putative symmetric block design with parameters (153, 57, 21) constructed using the Frobenius group F_{17·16}B) Up to isomorphism and ... see more

Let S2mS_{2m} be symmetric group, h0=(1 2)?(2m-1 2m)h_0=(1\ 2)\cdots(2m-1\ 2m) and H=C(h0)H=C(h_0). We clarify the structure of gHg-1nH,g?S2mgHg^{-1}\cap H, g\in S_{2m}, and using tools from analytic combinatorics we prove that the permutations ... see more

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