CHARACTER EXPANSIVENESS IN FINITE GROUPS

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HALASI Z.; MAOTI A.; PETENYI F.

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Journal Paper

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Journal: INTERNATIONAL JOURNAL OF GROUP THEORY Year:2013 | Volume:2 | Issue:2 Page(s): 9-17

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Information Journal Paper

Title

CHARACTER EXPANSIVENESS IN FINITE GROUPS

Author(s)

HALASI Z. | MAOTI A. | PETENYI F. | Issue Writer Certificate

Keywords

FINITE GROUPQ4

IRREDUCIBLE CHARACTERSQ4

PRODUCT OF CHARACTERSQ4

Abstract

We say that a FINITE GROUP G is conjugacy expansive if for any normal subset S and any conjugacy class C of G the normal set SC consists of at least as many conjugacy classes of G as S does. Halasi, Maroti, Sidki, Bezerra have shown that a group is conjugacy expansive if and only if it is a direct product of conjugacy expansive simple or abelian groups.By considering a character analogue of the above, we say that a FINITE GROUP G is character expansive if for any complex character and irreducible character c of G the character ac has at least as many irreducible constituents, counting without multiplicity, as a does. In this paper we take some initial steps in determining character expansive groups.

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APA: Copy

HALASI, Z., MAOTI, A., & PETENYI, F.. (2013). CHARACTER EXPANSIVENESS IN FINITE GROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY, 2(2), 9-17. SID. https://sid.ir/paper/212640/en

Vancouver: Copy

HALASI Z., MAOTI A., PETENYI F.. CHARACTER EXPANSIVENESS IN FINITE GROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY[Internet]. 2013;2(2):9-17. Available from: https://sid.ir/paper/212640/en

IEEE: Copy

Z. HALASI, A. MAOTI, and F. PETENYI, “CHARACTER EXPANSIVENESS IN FINITE GROUPS,” INTERNATIONAL JOURNAL OF GROUP THEORY, vol. 2, no. 2, pp. 9–17, 2013, [Online]. Available: https://sid.ir/paper/212640/en

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