Small profinite m-stable groups
Frank O. Wagner (2003)
Fundamenta Mathematicae
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A small profinite m-stable group has an open abelian subgroup of finite ℳ-rank and finite exponent.
Frank O. Wagner (2003)
Fundamenta Mathematicae
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A small profinite m-stable group has an open abelian subgroup of finite ℳ-rank and finite exponent.
M. J. Iranzo, A. Martínez-Pastor, F. Pérez-Monasor (1992)
Rendiconti del Seminario Matematico della Università di Padova
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Howard Smith (1983)
Mathematische Zeitschrift
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John C. Lennox, Derek J. S. Robinson (1980)
Rendiconti del Seminario Matematico della Università di Padova
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Bertram Wehrfritz (2011)
Open Mathematics
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Let ϕ be an automorphism of prime order p of the group G with C G(ϕ) finite of order n. We prove the following. If G is soluble of finite rank, then G has a nilpotent characteristic subgroup of finite index and class bounded in terms of p only. If G is a group with finite Hirsch number h, then G has a soluble characteristic subgroup of finite index in G with derived length bounded in terms of p and n only and a soluble characteristic subgroup of finite index in G whose index and derived...
Srinivasan, S. (1987)
International Journal of Mathematics and Mathematical Sciences
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Robert Dryło (2011)
Colloquium Mathematicae
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L. Makar-Limanov, P. van Rossum, V. Shpilrain and J.-T. Yu solved the stable equivalence problem for the polynomial ring k[x,y] when k is a field of characteristic 0. In this note we give an affirmative solution for an arbitrary field k.
Vikas Bist (1991)
Publicacions Matemàtiques
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Let U(RG) be the unit group of the group ring RG. Groups G such that U(RG) is FC-nilpotent are determined, where R is the ring of integers Z or a field K of characteristic zero.
John T. Baldwin, Kitty Holland (2001)
Fundamenta Mathematicae
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This is a sequel to [1]. Here we give careful attention to the difficulties of calculating Morley and U-rank of the infinite rank ω-stable theories constructed by variants of Hrushovski's methods. Sample result: For every k < ω, there is an ω-stable expansion of any algebraically closed field which has Morley rank ω × k. We include a corrected proof of the lemma in [1] establishing that the generic model is ω-saturated in the rank 2 case.
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.
Abdelhafid Badis, Nadir Trabelsi (2011)
Open Mathematics
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Our main result is that a locally graded group whose proper subgroups are Baer-by-Chernikov is itself Baer-by-Chernikov. We prove also that a locally (soluble-by-finite) group whose proper subgroups are Baer-by-(finite rank) is itself Baer-by-(finite rank) if either it is locally of finite rank but not locally finite or it has no infinite simple images.
J. Wierzejewski (1976)
Fundamenta Mathematicae
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Hilton, Peter (2001)
International Journal of Mathematics and Mathematical Sciences
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Dixit, V.N., Sinha, I. (1971)
Portugaliae mathematica
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