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A CHARACTERIZATION OF SOME PGL(2, q) BY MAXIMUM ELEMENT ORDERS

Wujie Shi|Jinbao Li|Dapeng Yu
대한수학회 (The Korean Mathematical Society)|2015.11|대한수학회보 (Bulletin of the KMS)|제52권 제6호|pp. 2025-2034

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참고문헌

키워드

characterizationfinite simple groupsmaximum element order
주제분류수학

초록

In this paper, we characterize some PGL(2, q) by their orders and maximum element orders. We also prove that PSL(2, p) with p ≥ 3 a prime can be determined by their orders and maximum element orders. Moreover, we show that, in general, if q = pn with p a prime and n > 1, PGL(2, q) can not be uniquely determined by their orders and maximum element orders. Several known results are generalized.

Abstract

In this paper, we characterize some PGL(2, q) by their orders and maximum element orders. We also prove that PSL(2, p) with p ≥ 3 a prime can be determined by their orders and maximum element orders. Moreover, we show that, in general, if q = pn with p a prime and n > 1, PGL(2, q) can not be uniquely determined by their orders and maximum element orders. Several known results are generalized.

참고문헌 (29)

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