The Adjacency Matrix of The Compatible Action Graph for Finite Cyclic Groups of p-Power Order
نویسندگان
چکیده
Let G and H be two finites -groups, then is the non-abelian tensor product of H. In this paper, compatible action graph for has been considered when finite -groups by determining adjacency matrix studied some its properties.
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A well-known result of Green [4] shows for any finite p-group G of order p^n, there is an integer t(G) , say corank(G), such that |M(G)|=p^(1/2n(n-1)-t(G)) . Classifying all finite p-groups in terms of their corank, is still an open problem. In this paper we classify all finite abelian p-groups by their coranks.
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ژورنال
عنوان ژورنال: Ma?alla? Tikr?t li-l-?ul?m al-?irfa?
سال: 2022
ISSN: ['2415-1726', '1813-1662']
DOI: https://doi.org/10.25130/tjps.v26i1.109