Results 161 to 170 of about 68,515 (199)

On Elementary Abelian Cartesian Groups

Canadian Mathematical Bulletin, 1991
AbstractJ. Hayden [2] proved that, if a finite abelian group is a Cartesian group satisfying a certain "homogeneity condition", then it must be an elementary abelian group. His proof required the character theory of finite abelian groups. In this note we present a shorter, elementary proof of his result.
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Interlacing of elementary abelian groups

Mathematical Notes of the Academy of Sciences of the USSR, 1972
A lattice of characteristic subgroups of multiple interlacings of finite elementary abelian groups by itself is established herein.
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Groups with elementary Abelian centralizers of involutions

Algebra and Logic, 2007
Summary: An involution \(i\) of a group \(G\) is said to be almost perfect in \(G\) if any two involutions of \(i^G\) the order of the product of which is infinite are conjugated via a suitable involution in \(i^G\). We generalize a known result by Brauer, Suzuki, and Wall concerning the structure of finite groups with elementary Abelian centralizers ...
Sozutov, A. I., KryukovskiÄ­, A. S.
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Units in regular elementary abelian group rings

Archiv der Mathematik, 1986
Let A be a finite abelian group, let \(U^.(A)\) be the group of units of \({\mathbb{Z}}A\) modulo torsion and let \({\dot \alpha}\): \(\prod_{C}U^.(C)\to U^.(A)\) be the natural homomorphism, where the product is direct and C runs over all cyclic subgroups \(\neq 1\) of A. In this note the authors prove the following result. Theorem.
Hoechsmann, Klaus, Sehgal, Sudarshan K.
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