Search results for "Dicyclic group"

showing 4 items of 4 documents

Two groups with isomorphic group algebras

1990

CombinatoricsClassification of Clifford algebrasGroup isomorphismDicyclic groupGeneral MathematicsSimple groupQuaternion groupCyclic groupCycle graph (algebra)MathematicsNon-abelian groupArchiv der Mathematik
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Invariant ordering of surface groups and 3-manifolds which fibre over $S^1$

2006

CombinatoricsDicyclic groupGeneral MathematicsInvariant (mathematics)Point groups in two dimensionsCovering groups of the alternating and symmetric groupsMathematicsNon-abelian groupMathematical Proceedings of the Cambridge Philosophical Society
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Local nearrings with dihedral multiplicative group

2004

AbstractA not necessarily zero-symmetric nearring R with a unit element is called local if the set of all non-invertible elements of R forms a subgroup of the additive group of R. It is proved that every local nearring whose multiplicative group is dihedral is finite and its additive group is either a 3-group of order at most 9 or a 2-group of order at most 32.

Local nearringAlgebra and Number TheoryDicyclic groupMultiplicative groupDihedral angleCombinatoricsDihedral groupOrder (group theory)Element (category theory)Factorized groupDihedral group of order 6Unit (ring theory)Additive groupMathematicsJournal of Algebra
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Group Identities on Units of Group Algebras

2000

Abstract Let U be the group of units of the group algebra FG of a group G over a field F . Suppose that either F is infinite or G has an element of infinite order. We characterize groups G so that U satisfies a group identity. Under the assumption that G modulo the torsion elements is nilpotent this gives a complete classification of such groups. For torsion groups this problem has already been settled in recent years.

p-groupAlgebra and Number TheoryDicyclic groupG-module010102 general mathematicsPerfect groupCyclic group010103 numerical & computational mathematics01 natural sciencesNon-abelian groupCombinatoricsInfinite groupIdentity component0101 mathematicsMathematicsJournal of Algebra
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