Results 191 to 200 of about 74,830 (231)

Construction of a non-commutative meta-thin scheme whose thin residue is an elementary abelian $p$-group of rank 2 (Algebraic Combinatorics)

, 2003
Sejeong Bang, Mitsugu Hirasaka
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The pseudorational rank of an abelian group

Siberian Mathematical Journal, 2005
Summary: We study finite-rank torsion-free Abelian groups and quotient divisible mixed groups. We consider the pseudorational rank, a new invariant for finite-rank torsion-free groups which was introduced by \textit{A. A. Fomin} [in Trends in Mathematics, 87-100 (1999; Zbl 0947.20037)], and establish its connection with the usual rank.
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On Hyper (Abelian of Finite Rank) Groups

Algebra Colloquium, 2008
We study the class of groups G, each of whose non-trivial images contains a non-trivial abelian normal subgroup of finite rank. This is very much wider than the class, studied earlier by Robinson and others, of hyperabelian groups H with finite abelian section rank. Our main results are that these groups G are hypercentral by residually finite and are
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Minimal rank of abelian group matrices

Linear and Multilinear Algebra, 1998
The minimal rank of abelian group matrices with positive integral entries is determined.The corresponding problem for circulant matrices have been investigated by Ingleton and more recently by Shiu-Ma-Fang. Our work can be viewed as a generalization of their results, since a group matrix becomes circulant when the group is cyclic.
Wai-Kiu Chan, Yip-Cheung Chan, Man-Keung Siu   +2 more
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Induced Representations of Abelian Groups of Finite Rank

Ukrainian Mathematical Journal, 2003
Summary: We prove that any irreducible faithful representation of an almost torsion-free Abelian group \(G\) of finite rank over a finitely generated field of characteristic zero is induced from an irreducible representation of a finitely generated subgroup of the group \(G\).
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On Blocks with Abelian Defect Groups of Small Rank

Results in Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Covering Groups of Rank 1 of Elementary Abelian Groups

Communications in Algebra, 2006
ABSTRACT Covering groups of elementary Abelian groups of odd exponent p can be classified according to the rank of their pth power homomorphisms, which may be regarded as linear transformations of  p –vector spaces. This article contains a description of the isomorphism types and the automorphism groups of those covering groups in which this rank is 1.
R. Gow, R. Quinlan
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Difference sets in abelian groups ofp-rank two

Designs, Codes and Cryptography, 1995
A \((v, k, \lambda)\)-difference set \(D\) is a \(k\)-subset of a group \(G\) such that the list of differences covers every non-identity group element exactly \(\lambda\) times. One of the open problems in finite geometry is to decide for which parameter triples difference sets can exist. In the case of abelian groups, a powerful approach to prove non-
Arasu, K. T., Sehgal, Surinder K.
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