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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 1989 Volume 180, Number 6, Pages 787–797 (Mi sm1634)

This article is cited 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.

UDC: 512.542

MSC: Primary 20D06; Secondary 05C25

Received: 10.01.1988


 English version:
Mathematics of the USSR-Sbornik, 1990, 67:1, 235–247

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