OD-characterization of $U_3(9)$ and its group of automorphisms

Journal of Linear and Topological Algebra

مقاله 3، دوره 03، شماره 04، اسفند 2014، صفحه 205-209   

نویسنده

P. Nosratpour^*

Department of Mathematics, Ilam Branch, Islamic Azad University, Ilam, Iran

چکیده

Let $L = U_3(9)$ be the simple projective unitary group in dimension 3 over a field with 92 elements. In this article, we classify groups with the same order and degree pattern as an almost simple group related to $L$. Since $Aut(L)\equiv Z_4$ hence almost simple groups related to $L$ are $L$, $L : 2$ or $L : 4$. In fact, we prove that $L$, $L : 2$ and $L : 4$ are OD-characterizable.

کلیدواژه‌ها

Finite simple group؛ OD-characterization؛ group of lie type

مراجع

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