Finite groups with a given absolute central factor group |
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| Authors: | M. Chaboksavar M. Farrokhi Derakhshandeh Ghouchan F. Saeedi |
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| Affiliation: | 1. Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
2. Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
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| Abstract: | Let G be a group and L(G) be the absolute center of G, that is, the set of all elements of G fixed by all automorphisms of G. In this paper, we classify all finite groups G whose absolute central factors are isomorphic to a cyclic group, ({mathbb{Z}_p times mathbb{Z}_p}) , D 8, Q 8, or a non-abelian group of order pq for some distinct primes p and q. |
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