Maximal subgroups of finite groups.
Srinivasan, S. (1990)
International Journal of Mathematics and Mathematical Sciences
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Srinivasan, S. (1990)
International Journal of Mathematics and Mathematical Sciences
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James Beidleman, Mathew Ragland (2011)
Open Mathematics
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The purpose of this paper is to study the subgroup embedding properties of S-semipermutability, semipermutability, and seminormality. Here we say H is S-semipermutable (resp. semipermutable) in a group Gif H permutes which each Sylow subgroup (resp. subgroup) of G whose order is relatively prime to that of H. We say H is seminormal in a group G if H is normalized by subgroups of G whose order is relatively prime to that of H. In particular, we establish that a seminormal p-subgroup is...
J. R. Martínez Verduch (1976)
Collectanea Mathematica
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Ostrom, T.G. (1979)
International Journal of Mathematics and Mathematical Sciences
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James C. Beidleman (1971)
Compositio Mathematica
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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.
S. Baskaran (1976)
Fundamenta Mathematicae
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Yangming Li (2010)
Rendiconti del Seminario Matematico della Università di Padova
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Carlo Casolo, Silvio Dolfi (1996)
Rendiconti del Seminario Matematico della Università di Padova
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Khazal, R., Mukherjee, N.P. (1989)
International Journal of Mathematics and Mathematical Sciences
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