Results 231 to 240 of about 68,261 (266)

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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Elementary equivalence of the automorphism groups of Abelian p-groups

Journal of Mathematical Sciences, 2010
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Bunina, E. I., Roizner, M. A.
openaire   +1 more source

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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On groups admitting an elementary Abelian automorphism group

1974
Recently a number of theorems have been proved showing that if V is a fixedpoint-free group of automorphisms of the finite group G then, with certain additional assumptions, G is soluble. These theorems may be found in [3], [4], [6] and [7].
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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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Elementary abelian groups

1992
Elementary abelian groups can be thought of as additive groups of finite fields. As such, all of the tools of field theory are available to us in the study of orthomorphism graphs of these groups. In particular, any function from a finite field to itself, and thus any orthomorphism of the additive group of the field, can be realized as a polynomial ...
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Elementary equivalence for abelian-by-finite and nilpotent groups

Journal of Symbolic Logic, 2001
AbstractWe show that two abelian-by-finite groups are elementarily equivalent if and only if they satisfy the same sentences with two alternations of quantifiers. We also prove that abelian-by-finite groups satisfy a quantifier elimination property. On the other hand, for each integer n, we give some examples of nilpotent groups which satisfy the same ...
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