A class of finite groups admitting certain sharp characters. II

Authors:
Takashi Matsuhisa and Hiroyoshi Yamaki

Journal:
Proc. Amer. Math. Soc. **110** (1990), 1-5

MSC:
Primary 20C15; Secondary 20B20

MathSciNet review:
1030736

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Abstract | References | Similar Articles | Additional Information

Abstract: A triple of a finite group with a faithful character and a character value is called sharp if

**[1]**H. F. Blichfeldt,*A theorem concerning the invariants of linear homogeneous groups, with some applications to substitution-groups*, Trans. Amer. Math. Soc.**5**(1904), no. 4, 461–466. MR**1500684**, 10.1090/S0002-9947-1904-1500684-5**[2]**Peter J. Cameron and Masao Kiyota,*Sharp characters of finite groups*, J. Algebra**115**(1988), no. 1, 125–143. MR**937604**, 10.1016/0021-8693(88)90285-2**[3]**Daniel Gorenstein,*Finite groups*, 2nd ed., Chelsea Publishing Co., New York, 1980. MR**569209****[4]**M. Kiyota, Seminar talk at University of Tokyo, June 1987.**[5]**Takashi Matsuhisa,*On finite groups admitting certain sharp characters*, Bol. Soc. Brasil. Mat.**18**(1987), no. 2, 75–82. MR**1018446**, 10.1007/BF02590024**[6]**-,*A class of finite groups admitting certain sharp characters*, Tsukuba J. Math.**14**(to appear).**[7]**H. Zassenhaus,*Kennzeichunung endlicher linearer Gruppen als Permutationsgruppen*, Abh. Math. Sem. Univ. Hamburg**11**(1936), 17-40.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1990-1030736-7

Keywords:
Characters of finite groups,
Frobenius groups,
transitive permutation groups

Article copyright:
© Copyright 1990
American Mathematical Society