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Dergiler / 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
Sayfa
875–886
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this paper, we prove that the simple groupL(2m) is uniquely determined by nse(L2(2m)), where |?(L(2m))| = 4.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri:Let nse(G) be the set of numbers of elementsof G of the same order.
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Sonuç & Katkı:In this paper, we prove that the simple groupL(2m) is uniquely determined by nse(L2(2m)), where |?(L(2m))| = 4.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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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Bu Makaleye Atıf Yap

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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Kaynakça (16)

  1. Adams, W.W., Goldstein, L.J.: Introduction to number theory, Prentice-Hall. Inc (1976)
  2. Bugeaud, Y., Cao, Z., Mignotte, M.: On simple K4-groups, J. Algebra 241(2), 658-668 (2001)
  3. Crescenzo, P.: A diophantine equation which arises in the theory of finite groups, Advances in Math. 17, 25-29 (1975)
  4. Frobenius, G.: Verallgemeinerung des sylowschen satze, Berliner sitz, pp. 981-993 (1895) Hall, P.: A note on soluble groups, J. London Math. Soc. 3, 98-105 (1928)
  5. Herzog, M.: On finite simple groups of order divisble by three primes only, J. Algebra 10, 388 (1968)
  6. Khatami, M., Khosravi, B., Akhlaghi, Z.: A new characterization for some linear groups, Monatsh. Math. 163, 39-50 (2011)
  7. Khosravi, B., Moghanjoghi, A.Z.: Quasirecognition by prime graph of some alternating groups, Int. J. Contemp. Math. Sci. 2, no. 25-28, 1351-1358 (2007)
  8. Khalili Asboei, A., Salehi Amiri, S.S., Iranmanesh, A., Tehranian, A.: A new characteriza- tion of symmetric groups for some n.(submitted) Khalili Asboei, A., Salehi Amiri, S.S., Iranmanesh A., Tehranian, A.: A characterization of Matheiu groups by NSE. ( submitted) Khalili Asboei, A., Salehi Amiri, S.S., Iranmanesh, A., Tehranian, A.: A new characteriza- tion of A7, A8, Anale Stintifice ale Universitatii Ovidius constanta 21, 43-50 (2013)
  9. Khalili Asboei, A., Salehi Amiri, S.S., Iranmanesh, A., Tehranian, A.: A new characteriza- tion of P SL(2, p) where p is a prime number with its NSE (submitted) Miller, G.: Addition to a theorem due to Frobenius, Bull. Am. Math. Soc. 11, 6-7 (1904)
  10. Passman, D.: Permutation Groups, W. A. Benjamin New York (1968)
  11. Shi, W. J.: On simple K4-groups, Chinese Science Bull. 36(17), 1281-1283 (in Chinese) (1991)
  12. Shao, C.G., Shi, W.J., Jiang, Q.H.: Characterization of simple K4-groups, Front. Math. China 3, 355-370 (2008)
  13. Shen, R., Shao, C., Jiang, Q., Shi, W., Mazurov, V.: A new characterization of A5, Monatsh. Math. 160, 337-341 (2010)
  14. Weisner, L.: On the number of elements of a group which have a power in a given conjugate set, Bull. Amer. Math. Soc. 31, 492-496 (1925)
  15. Zavarnitsine, A.V.: Recognition of the simple groups L3(q) by element orders, J. Group Theory 7, 81-97 (2004)
  16. Zhang, S., Shi, W.: Revisiting the number of simple K4-groups, arXiv: 1307. 8079v1 math.NT] (2013)