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​International Journal of Modern Computation, Information and Communication Technology

ISSN 2581-5954

​November 2018, Vol. 1, Issue 6, p. 111-115.​​

On Normal Intersection Conjugacy Functions in Finite Groups 
N. B. Okelo*
School of Mathematics and Actuarial Science, Jaramogi Oginga Odinga University of Science and Technology, P. O. Box 210-40601, Bondo-Kenya.
*Corresponding author’s e-mail: bnyaare@yahoo.com 

Abstract

In the present paper, we investigate conjugacy classes of subgroups of a fixed but arbitrary group where the definition of these subgroups is made entirely within the structure of the group.  We have shown that these subgroups are analogous to F-injectors of the group where F is a locally defined Fitting class, but preclude the existence of such a class in their definition.  Moreover, the subgroups used to define the subgroups of such a conjugacy class are analogous to the F(p)-radicals of the group.

Keywords: Normal; Intersection; Conjugacy; Functions; Finite Group; Solvability.

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