THE CHARACTER TABLE OF A SHARPLY 5-TRANSITIVE SUBGROUP OF THE ALTERNATING GROUP OF DEGREE 12

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GILL NICK; Hughes Sam

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF GROUP THEORY Year:2021 | Volume:10 | Issue:1 Page(s): 11-30

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Title

THE CHARACTER TABLE OF A SHARPLY 5-TRANSITIVE SUBGROUP OF THE ALTERNATING GROUP OF DEGREE 12

Author(s)

GILL NICK | Hughes Sam | Issue Writer Certificate

Keywords

Mathieu groups

sporadic groups

character table

permutation group

multiply transitive

Abstract

We calculate the character table of a sharply 5-transitive subgroup of Alt(12), and of a sharply 4-transitive subgroup of Alt(11). Our presentation of these calculations is new because we make no reference to the sporadic simple Mathieu groups, and instead deduce the desired character tables using only the existence of the stated multiply transitive permutation representations.

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APA: Copy

GILL, NICK, & Hughes, Sam. (2021). THE CHARACTER TABLE OF A SHARPLY 5-TRANSITIVE SUBGROUP OF THE ALTERNATING GROUP OF DEGREE 12. INTERNATIONAL JOURNAL OF GROUP THEORY, 10(1), 11-30. SID. https://sid.ir/paper/1004127/en

Vancouver: Copy

GILL NICK, Hughes Sam. THE CHARACTER TABLE OF A SHARPLY 5-TRANSITIVE SUBGROUP OF THE ALTERNATING GROUP OF DEGREE 12. INTERNATIONAL JOURNAL OF GROUP THEORY[Internet]. 2021;10(1):11-30. Available from: https://sid.ir/paper/1004127/en

IEEE: Copy

NICK GILL, and Sam Hughes, “THE CHARACTER TABLE OF A SHARPLY 5-TRANSITIVE SUBGROUP OF THE ALTERNATING GROUP OF DEGREE 12,” INTERNATIONAL JOURNAL OF GROUP THEORY, vol. 10, no. 1, pp. 11–30, 2021, [Online]. Available: https://sid.ir/paper/1004127/en

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