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- W1963978679 abstract "Let D be an F -central division algebra of degree p r , p a prime. A set of criteria is given for D to be a crossed product in terms of irreducible soluble or abelian-by-finite subgroups of the multiplicative group D * of D . Using the Amitsur's classification of finite subgroups of D * and the Tits alternative, it is shown that D is a crossed product if and only if D * contains an irreducible soluble subgroup. Further criteria are also presented in terms of irreducible abelian-by-finite subgroups and irreducible subgroups satisfying a group identity. Using the above results, it is shown that if D * contains an irreducible finite subgroup, then D is a crossed product." @default.
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- W1963978679 date "2005-01-01" @default.
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- W1963978679 title "Crossed product conditions for division algebras of prime power degree" @default.
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- W1963978679 doi "https://doi.org/10.1016/j.jalgebra.2004.04.022" @default.
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