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This article is cited in 158 scientific papers (total in 158 papers)
Prime graph components of finite simple groups
A. S. Kondrat'ev
Abstract:
Let $G$ be a finite group and $\pi(G)$ the set of prime factors of its order. The prime graph of $G$ is the graph with vertex-set $\pi(G)$, two vertices $p$ and $q$ being joined by an edge whenever $G$ contains an element of order $pq$. This article contains an explicit description of the primes in each of the connected components of the prime graphs of the finite simple groups of Lie type of even characteristic. This solves question 9.16 of the “Kourovka Notebook”.
Bibliography: 15 titles.
Received: 10.01.1988
Citation:
A. S. Kondrat'ev, “Prime graph components of finite simple groups”, Math. USSR-Sb., 67:1 (1990), 235–247
Linking options:
https://www.mathnet.ru/eng/sm1634https://doi.org/10.1070/SM1990v067n01ABEH001363 https://www.mathnet.ru/eng/sm/v180/i6/p787
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