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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
In this paper, we prove that the simple group L2(2m) is uniquely determined by nse(L2(2m)), where |π(L2(2m))| = 4.
📌 3 Key Takeaways
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Objective & Hypothesis:Let G be a group and π(G) be the set of primes p such that G contains an element of order p.
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Key Findings & Data:Let nse(G) be the set of numbers of elements of G of the same order.
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Conclusion & Impact:In this paper, we prove that the simple group L2(2m) is uniquely determined by nse(L2(2m)), where |π(L2(2m))| = 4.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Element order · set of the numbers of elements of the same order · simple Kn-group
Abstract
Let G be a group and π(G) be the set of primes p such that G contains an element of order p. Let nse(G) be the set of numbers of elements of G of the same order. In this paper, we prove that the simple group L2(2m) is uniquely determined by nse(L2(2m)), where |π(L2(2m))| = 4.
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Cite This Article
MOSAED, H. P., IRANMANESH, A., GHASEMABADI, M. F., TEHRANIAN, A. (2022). A new characterization of L$_2(2_m)$. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 4, 875–886. https://ajindex.com/articles/530305