ON THE NUMBER OF THE IRREDUCIBLE CHARACTERS OF FACTOR GROUPS

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SAEIDI AMIN

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Journal: INTERNATIONAL JOURNAL OF GROUP THEORY Year:2013 | Volume:2 | Issue:2 Page(s): 19-24

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Information Journal Paper

Title

ON THE NUMBER OF THE IRREDUCIBLE CHARACTERS OF FACTOR GROUPS

Author(s)

SAEIDI AMIN | Issue Writer Certificate

Keywords

IRREDUCIBLE CHARACTERSQ4

CONJUGACY CLASSESQ4

MINIMAL NORMAL SUBGROUPSQ4

FROBENIUS GROUPSQ4

Abstract

Let G be a finite group and let N be a normal subgroup of G. Suppose that Irr(G|N) is the set of the IRREDUCIBLE CHARACTERS of G that contain N in their kernels. In this paper, we classify solvable groups G in which the set C(G)={Irr(G|N)|¹N⊴G} has at most three elements. We also compute the set C(G) for such groups.

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APA: Copy

SAEIDI, AMIN. (2013). ON THE NUMBER OF THE IRREDUCIBLE CHARACTERS OF FACTOR GROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY, 2(2), 19-24. SID. https://sid.ir/paper/212644/en

Vancouver: Copy

SAEIDI AMIN. ON THE NUMBER OF THE IRREDUCIBLE CHARACTERS OF FACTOR GROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY[Internet]. 2013;2(2):19-24. Available from: https://sid.ir/paper/212644/en

IEEE: Copy

AMIN SAEIDI, “ON THE NUMBER OF THE IRREDUCIBLE CHARACTERS OF FACTOR GROUPS,” INTERNATIONAL JOURNAL OF GROUP THEORY, vol. 2, no. 2, pp. 19–24, 2013, [Online]. Available: https://sid.ir/paper/212644/en

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