Results 11 to 20 of about 509 (172)
Strongly homogeneous torsion free abelian groups of finite rank [PDF]
Proceedings of the American Mathematical Society, 1976 An abelian group is strongly homogeneous if for any two pure rank 1 subgroups there is an automorphism sending one onto the other. Finite rank torsion free strongly homogeneous groups are characterized as the tensor product of certain subrings of algebraic number fields with finite direct ...
David M. Arnold
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Le Matematiche, 2006 Suppose G is with finite torsion-free rank a coproduct of p-mixed countable abelian groups and F is a field with characteristic p such that the group algebras FG and FH are F -isomorphic for another group H . Then G and H are isomorphic.
Peter Danchev
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Abelian rank of normal torsion-free finite index subgroups of polyhedral groups [PDF]
Transactions of the American Mathematical Society, 1985 Suppose that P P is a convex polyhedron in the hyperbolic
Youn W. Lee
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Torsion-free Extensions of Torsion-free Abelian Groups of Finite Rank
, 2009 Duisburg, Essen, Univ., Diss ...
Friedenberg, Stefan
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$p$-groups with maximal elementary abelian subgroups of rank $2$ [PDF]
, 2010 Let p be an odd prime number and G a finite p-group. We prove that if the rank of G is greater than p, then G has no maximal elementary abelian subgroup of rank 2.
Mazza, Nadia +3 more
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Connected components of the category of elementary abelian $p$-subgroups. [PDF]
, 2008 We determine the maximal number of conjugacy classes of maximal elementary abelian subgroups of rank $2$ in a finite $p$-group $G$, for an odd prime $p$. Namely, it is $p$ if $G$ has rank at least $3$ and it is $p+1$ if $G$ has rank $2$.
Mazza, Nadia
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Zassenhaus conjecture for central extensions of S5 [PDF]
, 2008 We confirm a conjecture of Zassenhaus about rational conjugacy of torsion units in integral group rings for a covering group of the symmetric group S5 and for the general linear group GLð2; 5Þ. The first result, together with others from the literature,
Bódi, Viktor +4 more
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The cobordism group of homology cylinders [PDF]
, 2010 Garoufalidis and Levine introduced the homology cobordism group of homology cylinders over a surface. This group can be regarded as an enlargement of the mapping class group.
Friedl, Stefan +5 more
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Torsion Free Endotrivial Modules for Finite Groups of Lie Type
, 2021 In this paper we determine the torsion free rank of the group of endotrivial modules for any finite group of Lie type, in both defining and non-defining characteristic. On our way to proving this, we classify the maximal rank $2$ elementary abelian $\ell$
Carlson, Jon F. +3 more
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The Dade group of a metacyclic $p$-group. [PDF]
, 2003 The Dade group $D(P)$ of a finite $p$-group $P$, formed by equivalence classes of endo-permutation modules, is a finitely generated abelian group. Its torsion-free rank equals the number of conjugacy classes of non-cyclic subgroups of $P$ and it is ...
Mazza, Nadia
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