Finite p'-nilpotent groups. I.
Srinivasan, S. (1987)
International Journal of Mathematics and Mathematical Sciences
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Srinivasan, S. (1987)
International Journal of Mathematics and Mathematical Sciences
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Peter Hilton, Robert Militello (1992)
Publicacions Matemàtiques
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We identify two generalizations of the notion of a finitely generated nilpotent. Thus a nilpotent group G is fgp if Gp is fg as p-local group for each p; and G is fg-like if there exists a fg nilpotent group H such that Gp ≅ Hp for all p. The we have proper set-inclusions: {fg} ⊂ {fg-like} ⊂ {fgp}. We examine the extent to which fg-like nilpotent groups satisfy the axioms for...
Artemovych, O. (2002)
Serdica Mathematical Journal
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We characterize the groups which do not have non-trivial perfect sections and such that any strictly descending chain of non-“nilpotent-by-finite” subgroups is finite.
Hilton, Peter, Militello, Robert (1996)
International Journal of Mathematics and Mathematical Sciences
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Ali Boukaroura (2004)
Rendiconti del Seminario Matematico della Università di Padova
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Srinivasan, S. (1987)
International Journal of Mathematics and Mathematical Sciences
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Adolfo Ballester-Bolinches, James C. Beidleman, John Cossey, Hermann Heineken, María Carmen Pedraza-Aguilera (2006)
Rendiconti del Seminario Matematico della Università di Padova
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John C. Lennox, Derek J. S. Robinson (1980)
Rendiconti del Seminario Matematico della Università di Padova
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Hilton, Peter (2001)
International Journal of Mathematics and Mathematical Sciences
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Israel N. Herstein (1986)
Revista Matemática Iberoamericana
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A well-known theorem due to Kolchin states that a semi-group G of unipotent matrices over a field F can be brought to a triangular form over the field F [4, Theorem H]. Recall that a matrix A is called unipotent if its only eigenvalue is 1, or, equivalently, if the matrix I - A is nilpotent. Many years ago I noticed that this result of Kolchin is an immediate consequence of a too-little known result due to Wedderburn [6]. This result of Wedderburn asserts that if B is a finite...
Lewis, Robert H., Moore, Guy D. (1997)
Experimental Mathematics
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