On a theorem of Bauer and some of its applications
Andrzej Schinzel (1966)
Acta Arithmetica
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Andrzej Schinzel (1966)
Acta Arithmetica
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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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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.
Kallaher, Michael J. (1984)
International Journal of Mathematics and Mathematical Sciences
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J. R. Martínez Verduch (1976)
Collectanea Mathematica
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Akram Lbekkouri (2013)
Annales UMCS, Mathematica
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Let K be a local field with finite residue field of characteristic p. This paper is devoted to the study of the maximal abelian extension of K of exponent p−1 and its maximal p-abelian extension, especially the description of their Galois groups in solvable case. Then some properties of local fields in general case are studied too.
Andrzej Schinzel (1973)
Acta Arithmetica
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Bhattacharya, Prabir, Mukherjee, N.P. (1989)
International Journal of Mathematics and Mathematical Sciences
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Khazal, R., Mukherjee, N.P. (1989)
International Journal of Mathematics and Mathematical Sciences
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