Papers by banafsheh akbari
The solubility graph ΓS(G) associated with a finite group G is a simple graph whose vertices are ... more The solubility graph ΓS(G) associated with a finite group G is a simple graph whose vertices are the elements of G, and there is an edge between two distinct vertices if and only if they generate a soluble subgroup. In this paper, we focus on the set of neighbors of a vertex x which we call it the solubilizer of x in G, SolG(x), investigating both arithmetic and structural properties of this set.
Recognizing by Order and Degree Pattern of Some Projective Special Linear Groups
International Journal of Algebra and Computation, 2012
Let M be a finite group and D (M) be the degree pattern of M. Denote by h OD (M) the number of is... more Let M be a finite group and D (M) be the degree pattern of M. Denote by h OD (M) the number of isomorphism classes of finite groups G with the same order and degree pattern as M. A finite group M is called k-fold OD-characterizable if h OD (M) = k. Usually, a 1-fold OD-characterizable group is simply called OD-characterizable. The purpose of this article is twofold. First, it provides some information on the structure of a group from its degree pattern. Second, it proves that the projective special linear groups L4(4), L4(8), L4(9), L4(11), L4(13), L4(16), L4(17) are OD-characterizable.
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Papers by banafsheh akbari