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- 한국전산응용수학회 Journal of applied mathematics & computing Journal of applied mathematics & computing 제17권 제1호
- 발행연도
- 2005.1
- 수록면
- 245 - 258 (14page)
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In this paper we prove that the alternating groups A_n, for n = p, p+1, p+2 and symmetric groups $S_n$, for n = p, p+1, where p$\ge$3 is a prime number, can be uniquely determined by their order components. As one of the important consequence of this characterization we show that the simple groups An, where n = p, p+1, P+2 and p$\ge$3 is prime, satisfy in Thompson's conjecture and Shi's conjecture.
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