Shitian LIU

OD-characterization of some alternating groups

Let $G$ be a finite group. Moghaddamfar et al. defined prime graph $\Gamma(G)$ of group $G$ as follows. The vertices of $\Gamma(G)$ are the primes dividing the order of $G$ and two distinct vertices $p,q$ are joined by an edge, denoted by $p\sim q$, if there is an element in $G$ of order $pq$. Assume $|G|=p_{1}^{\alpha_{1}}\cdots p_{k}^{\alpha_{k}}$ with $P_{1}$

Anahtar Kelimeler:

Order component, element order, alternating group, degree pattern, prime graph, Simple group

OD-characterization of some alternating groups

Keywords:

Order component, element order, alternating group, degree pattern, prime graph, Simple group,

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