A new characterization of groups $\mathbf{ B_4 (q )}$-Reference-Cited by-同舟云学术

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A new characterization of groups $\mathbf{ B_4 (q )}$

Published:2024-05-20 Issue: Volume:42 Page:1-5
ISSN:2175-1188
Container-title:Boletim da Sociedade Paranaense de Matemática
language:
Short-container-title:B Soc Paran Mat

Author:

Ebrahimzadeh Behnam,Hasanzadeh-Bashir Hamideh

Abstract

One of an important problems in finite groups theory is, characterizable of groups by specific property. In this paper, we prove that groups $B_4 (q)$, where $ q$ be prime number and $ \frac{q^4+1}{2}$ is a prime number, can be uniquely determined by the largest elements order and the order of group.

Publisher

Sociedade Paranaense de Matemática

Reference19 articles.

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2. G. Y. Chen, L. G. He and J. H. Xu, A new characterization of sporadic simple groups, Italian journal of pure and mathematics. 30(2013), 373-392.

3. G. Y. Chen, L. G. He, A new characterization of L2(q) where q = pn 125, Italian journal of pure and mathematics. 38(2011),125-134 .

4. G. Y. Chen, L. G. He, A new characterization o simple K4 -group with type L2(p) Advanced in mathematics(china). (2012)doi: 10.11845/sxjz.165b .

5. Ebrahimzadeh, B., Iranmanesh, A., Tehranian, A and Parvizi Mosaed, H., A characterization of the suzuki groups by order and the largest elements order, Journal of sciences, islamic republic of iran . 27(4),(2016), 353-355.

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