On groups of odd order admitting an elementary 2-group of automorphisms
Karise G. Oliveira, Pavel Shumyatsky, Carmela Sica (2011)
Rendiconti del Seminario Matematico della Università di Padova
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Karise G. Oliveira, Pavel Shumyatsky, Carmela Sica (2011)
Rendiconti del Seminario Matematico della Università di Padova
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International Journal of Mathematics and Mathematical Sciences
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Rendiconti del Seminario Matematico della Università di Padova
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Matematički Vesnik
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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...
Jutta Hausen (1981)
Rendiconti del Seminario Matematico della Università di Padova
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Rendiconti del Seminario Matematico della Università di Padova
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Leonid F. Barannyk, Kamila Sobolewska (2001)
Colloquium Mathematicae
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Our aim is to determine necessary and sufficient conditions for a finite nilpotent group to have a faithful irreducible projective representation over a field of characteristic p ≥ 0.
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One of the most outstanding problems in combinatorial mathematics and geometry is the problem of existence of finite projective planes whose order is not a prime power.