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2011•Journal of Qingdao UniversityRequires access

On the Automorphism Group of the Integral Group Ring ofFinite P-group with Cyclic Commutator Subgroup

Jinke Hai

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Abstract

Suppose G is a finite group,p is always a prime number.We have proved that the finite group G is a E.R.group when the order of its commutator subgroup is a prime number,so we got two sufficient conditions of a finite group to be a E.R.group.In this note,we extend these results and prove that finite p-group with cyclic commutator subgroup G is a E.R.group,here G is generated by two elements

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Suppose G is a finite group,p is always a prime number.We have proved that the finite group G is a E.R.group when the order of its commutator subgroup is a prime number,so we got two sufficient conditions of a finite group to be a E.R.group.In this note,we extend these results and prove that finite p-group with cyclic commutator subgroup G is a E.R.group,here G is generated by two elements

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Available abstract

Suppose G is a finite group,p is always a prime number.We have proved that the finite group G is a E.R.group when the order of its commutator subgroup is a prime number,so we got two sufficient conditions of a finite group to be a E.R.group.In this note,we extend these results and prove that finite p-group with cyclic commutator subgroup G is a E.R.group,here G is generated by two elements

Key concepts: Commutator subgroup, Mathematics, Group (periodic table), p-group, Order (exchange), Cyclic group, Prime (order theory), Finite group

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On the Automorphism Group of the Integral Group Ring ofFinite P-group with Cyclic Commutator Subgroup — Research Paper | ScholarLens