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Note on A-Groups

Published online by Cambridge University Press:  22 January 2016

Noboru Itô
Noboru Itô*
Affiliation:
Mathematical Institute, Nagoya University
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Let us consider soluble groups whose Sylow subgroups are all abelian. Such groups we call A-groups, following P. Hall. A-groups were investigated thoroughly by P. Hall and D. R. Taunt from the view point of the structure theory. In this note, we want to give some remarks concerning representation theoretical properties of A-groups.

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 4 , June 1952 , pp. 79 - 81
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1952

References

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D. R. Taunt, On A-groups. Proc. Cambridge Philos. Soc. 45, 24-42 (1949).

The latter is not yet accessible to me.

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5) Itô, N., On the characters of soluble groups. These Journal 3, 31-48 (1951)Google Scholar.

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7) Brauer, R., On the arithmetic in a group ring. Proc. Nat. Acad. Sci. U.S.A. 109-114 (1944)Google Scholar. N. Itô, Some studies on group characters. These Journal 2, 17-28 (1951). (A remark to my paper: It was evident that f/eKfK = 1 by a theorem of L Schur, from which the description can be rather shortened.)

8) N. Itô, On the degrees of irreducible representations of a finite group. These Journal 3, 5-6 (1951).