مرور Volume 6, Issue 3 بر اساس عنوان
در حال نمایش موارد 1 - 5 از 5
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An extension and a generalization of Dedekind's theorem
(University of Isfahan, 2017-09-01)For any given finite abelian group, we give factorizations of the group determinant in the group algebra of any subgroups. The factorizations is an extension of Dedekind's theorem. The extension leads to a generalization ...
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Finite $2$-groups of class $2$ with a specific automorphism group
(University of Isfahan, 2017-09-01)In this paper we determine all finite $2$-groups of class $2$ in which every automorphism of order $2$ leaving the Frattini subgroup elementwise fixed is inner.
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An infinite family of finite $2$-groups with deficiency zero
(University of Isfahan, 2017-09-01)We determine a new infinite sequence of finite $2$-groups with deficiency zero. The groups have $2$ generators and $2$ relations, they have coclass $3$ and they are not metacyclic.
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One-prime power hypothesis for conjugacy class sizes
(University of Isfahan, 2017-09-01)A finite group $G$ satisfies the on-prime power hypothesis for conjugacy class sizes if any two conjugacy class sizes $m$ and $n$ are either equal or have a common divisor a prime power. Taeri conjectured that an insoluble ...
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Right amenable left group sets and the Tarski-FØlner theorem
(University of Isfahan, 2017-09-01)We introduce right amenability, right FØlner nets, and right paradoxical decompositions for left homogeneous spaces and prove the Tarski-FØlner theorem for left homogeneous spaces with finite stabilisers. It states ...
