Translation planes of odd order and odd dimension.
Ostrom, T.G. (1979)
International Journal of Mathematics and Mathematical Sciences
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Ostrom, T.G. (1979)
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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Johnson, N.L., Ostrom, T.G. (1983)
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.
Srinivasan, S. (1990)
International Journal of Mathematics and Mathematical Sciences
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Gülin Ercan, İsmail Ş. Güloğlu (1993)
Rendiconti del Seminario Matematico della Università di Padova
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Jha, V., Johnson, N. L. (2003)
Advances in Geometry
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Johnson, N.L. (1978)
International Journal of Mathematics and Mathematical Sciences
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Johnson, Norman L., Pomareda, Rolando (2002)
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.
Michael J. J. Barry, Michael B. Ward (1997)
Publicacions Matemàtiques
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It is a consequence of the classification of finite simple groups that every non-abelian simple group contains a subgroup which is a minimal simple group.