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ON SAME ORDER TYPE GROUPS

Journal Name:

  • Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi

Publication Year:

  • 2011

Key Words:

Author NameUniversity of Author
Abstract (2. Language): 
A group is of fundamental importance in the algebraic structure. Atagun introduced the concept of a group matrix in the 9(2), 2005 of this journal. We call a class of groups of equivalent group matrices the same order type groups. Atagun asserted that two groups with equivalent group matrices are isomorphic. In this paper we give some counterexamples to this assertion. Then we continue to discuss the same order type groups and a well-known Thompson's problem related.
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  • 2
156 - 158
  • Turkish

REFERENCES

References: 

[1] Atagün, A.O., A new method to show isomorphisms of
finite groups, Saü Fen Bilimleri Enstitüsü Dergisi,
9(2)(2005), 41-43.
[2] Mazurov, V.D., Khukhro, E.I., Unsolved problems in
group theory, The Kourovka Notebook, 16 ed., Inst. Mat.
Sibirsk. Otdel. Akad. Novosibirsk. 2006.
[3] Conway, J.H., Curtis, R.T., Norton, S.P., Parker, R.A.,
Wilson, R.A., Altas of finite gorup, Clarendon Press, Oxford,
1985.
[4] Vasilev, A.V., Grechkoseeva, M.A., Mazurov, V.D.,
Characterization of the finite simple groups by spectrum and
order, Algebra and Logic, 48(6)(2009), 385-409.
[5] Liyori, N., Yamaki, H., On a conjecture of Frobenius,
Amer Math Soc., 1991(25), 413-416. gorup, Clarendon
Press, Oxford, 1985.
[6] Shen, R., Shi, W., On Thompson problem (in Chinese),
Sci Sin Math, 2010, 40(6), 533-537.

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