Results 251 to 260 of about 174,866,847 (300)

The Hermitian Class Group

K-Theory, 1997
Let \(A\) be an order over a (not necessarily commutative) Krull domain \(R\) endowed with an involution \(\alpha\). The authors define and study the Hermitian class group \(Cl_R (A,\alpha)\) of \((A,\alpha)\), which can also be viewed as a special case of the relative Hermitian Picard group defined by the same authors in ``The relative Hermitian ...
Reyes, M.V., Verhaeghe, P., Verschoren, A.   +2 more
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z-Classes in groups

Journal of Algebra and Its Applications, 2016
For a group [Formula: see text], we say that [Formula: see text] are in the same [Formula: see text]-class if their centralizers in [Formula: see text] are conjugate. The notion of [Formula: see text]-class has origin in a connection between geometry and groups.
Kulkarni, Ravindra, Kitture, Rahul Dattatraya, Jadhav, Vikas S.   +2 more
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A class of periodic groups

Algebra and Logic, 2005
A dihedral group is a group generated by two involutions. The authors call a group \(G\) saturated by dihedral groups, if every finite subgroup of \(G\) is contained in a dihedral subgroup of \(G\). First, the authors establish the structure of an arbitrary periodic group saturated by dihedral groups.
Shlepkin, A. K., Rubashkin, A. G.
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A Class of Imprimitive Groups

Algebra Colloquium, 2010
We classify imprimitive groups inducing the alternating group A4 on the set of blocks, with the inertia subgroup satisfying some very natural geometrical conditions which force the group to operate linearly.
BARTOLONE, Claudio, CIRAULO, Francesco
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Cohopfian groups and accessible group classes

Pacific Journal of Mathematics, 2021
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de Giovanni F., Trombetti M.
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On a Class of Supersoluble Groups

Southeast Asian Bulletin of Mathematics, 2003
It is well known that the product of two normal supersoluble subgroups need not be supersoluble in general. The author considers a class \(\mathfrak C\) of groups \(G\) which contain a normal subgroup \(N\) such that for some positive integer \(n\) every subgroup of the \(n\)th term of the lower central series of \(G/N'\) is normal in \(G/N'\).
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On a Class of Endotransitive Groups

Mathematical Notes, 2001
All groups in this article are Abelian. A torsion-free Abelian group \(A\) is said to be endotransitive if, for any nonzero elements \(a,b\in A\) with equal characteristics, there exists an endomorphism \(f\) of \(A\) such that \(fa=b\). The homogeneous endotransitive groups are precisely the E-transitive groups studied by the reviewer [J. Algebra 107,
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On a class of metahamiltonian groups

Ricerche di Matematica, 2013
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DE FALCO, MARIA, DE GIOVANNI, FRANCESCO, MUSELLA, CARMELA   +2 more
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