Collineation groups of translation planes of small dimension.
Ostrom, T.G. (1981)
International Journal of Mathematics and Mathematical Sciences
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Ostrom, T.G. (1981)
International Journal of Mathematics and Mathematical Sciences
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Johnson, N.L., Ostrom, T.G. (1983)
International Journal of Mathematics and Mathematical Sciences
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Ostrom, T.G. (1980)
International Journal of Mathematics and Mathematical Sciences
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Kallaher, Michael J. (1984)
International Journal of Mathematics and Mathematical Sciences
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Pál Hegedűs (2013)
Open Mathematics
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This paper deals with a rationality condition for groups. Let n be a fixed positive integer. Suppose every element g of the finite solvable group is conjugate to its nth power g n. Let p be a prime divisor of the order of the group. We conclude that the multiplicative order of n modulo p is small, or p is small.
Gülin Ercan, İsmail Ş. Güloğlu (1993)
Rendiconti del Seminario Matematico della Università di Padova
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Srinivasan, S. (1990)
International Journal of Mathematics and Mathematical Sciences
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Amin Saeidi (2014)
Open Mathematics
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In this note, we study finite groups possessing exactly one nonlinear non-faithful irreducible character. Our main result is to classify solvable groups that satisfy this property. Also, we give examples to show that these groups need not to be solvable in general.
Khazal, R., Mukherjee, N.P. (1994)
International Journal of Mathematics and Mathematical Sciences
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Homer Bechtell (1972)
Rendiconti del Seminario Matematico della Università di Padova
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James C. Beidleman (1971)
Compositio Mathematica
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