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

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

MathSciNet review:
1030736

Full-text PDF Free Access

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 homogeneous groups with some applications in substitution groups*, Trans. Amer. Math. Soc.**5**(1904), 461-466. MR**1500684****[2]**P. J. Cameron and M. Kiyota,*Sharp characters of finite groups*, J. Algebra**115**(1988), 125-143. MR**937604 (89b:20026)****[3]**D. Gorenstein,*Finite groups*, Chelsea, New York, 1980. MR**569209 (81b:20002)****[4]**M. Kiyota, Seminar talk at University of Tokyo, June 1987.**[5]**T. Matsuhisa,*On finite groups admitting certain sharp characters*, Bol. Soc. Bras. Mat.**18**(1987), 75-82. MR**1018446 (90f:20012)****[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.

Retrieve articles in *Proceedings of the American Mathematical Society*
with MSC:
20C15,
20B20

Retrieve articles in all journals with MSC: 20C15, 20B20

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