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Journals / Hacettepe Journal of Mathematics and Statistics / 2015 / Cilt: 44 - Sayı: 4

A new characterization of L2(2m)

Hosein Parvizi MOSAED
Ali IRANMANESH
Mahnaz Foroudi GHASEMABADİ
Abolfazl TEHRANİAN
Pages
875–886
Publication Date
2022-10-18
DOI
—
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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 groupL(2m) is uniquely determined by nse(L2(2m)), where |?(L(2m))| = 4.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Let G be a group and ?(G) be the set of primes p such that G containsan element of order p.
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Key Findings & Data:Let nse(G) be the set of numbers of elementsof G of the same order.
💡
Conclusion & Impact:In this paper, we prove that the simple groupL(2m) is uniquely determined by nse(L2(2m)), where |?(L(2m))| = 4.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Let G be a group and ?(G) be the set of primes p such that G containsan element of order p. Let nse(G) be the set of numbers of elementsof G of the same order. In this paper, we prove that the simple groupL(2m) is uniquely determined by nse(L2(2m)), where |?(L(2m))| = 4.

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Cite This Article

MOSAED, H. P., IRANMANESH, A., GHASEMABADİ, M. F., TEHRANİAN, A. (2022). A new characterization of L2(2m). Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 4, 875–886. https://ajindex.com/articles/530278

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