A Characterization of the Suzuki Groups by Order and the Largest Elements Order

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EBRAHIMZADEH B.; IRANMANESH A.; TEHRANIAN A.; PARVIZI MOSAED H.

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Journal: Journal of Sciences, Islamic Republic of Iran Year:2016 | Volume:27 | Issue:4 Page(s): 353-355

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Title

A Characterization of the Suzuki Groups by Order and the Largest Elements Order

Author(s)

EBRAHIMZADEH B. | IRANMANESH A. | TEHRANIAN A. | PARVIZI MOSAED H. | Issue Writer Certificate

Keywords

Largest elements order

Prime graph

Frobenius Group

Suzuki group

Abstract

One of the important problems in group theory is characterization of a group by a given property, that is, to prove there exist only one group with a given property. Let G be a finite group. We denote by k(G) the largest order of elements of G. In this paper, we prove that some Suzuki groups are characterizable by order and the largest order of elements. In fact, we prove that if G is a group with |G| = |Sz(q)| and k(G) = k(Sz(q)) where q − 1 or q ± 2q + 1 is a prime number, then G ≅ Sz(q).

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APA: Copy

EBRAHIMZADEH, B., IRANMANESH, A., TEHRANIAN, A., & PARVIZI MOSAED, H.. (2016). A Characterization of the Suzuki Groups by Order and the Largest Elements Order. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, 27(4), 353-355. SID. https://sid.ir/paper/718632/en

Vancouver: Copy

EBRAHIMZADEH B., IRANMANESH A., TEHRANIAN A., PARVIZI MOSAED H.. A Characterization of the Suzuki Groups by Order and the Largest Elements Order. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN[Internet]. 2016;27(4):353-355. Available from: https://sid.ir/paper/718632/en

IEEE: Copy

B. EBRAHIMZADEH, A. IRANMANESH, A. TEHRANIAN, and H. PARVIZI MOSAED, “A Characterization of the Suzuki Groups by Order and the Largest Elements Order,” JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, vol. 27, no. 4, pp. 353–355, 2016, [Online]. Available: https://sid.ir/paper/718632/en

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