On p-topological groups
Mathematica Moravica, Tome 25 (2021) no. 2.

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In this paper, we introduce the notions of p-topological group and p-irresolute topological group which are generalizations of the notion topological group. We discuss the properties of p-topological groups with illustrative examples and we provide a connected p-topological group on any group G whose cardinality is not equal to 2. Also, we prove that translations and inversion in p-topological group are p-homeomorphism and demonstrate that every p-topological group is p-homogenous which leads to check whether a topology on a group satisfies the conditions of p-topological group or not.
Mots-clés : Topological group, p-topological group, p-irresolute topological group, pre-connectedness. 
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Saeid Jafari; Paulraj Gnanachandra; Arumugam Muneesh Kumar. On p-topological groups. Mathematica Moravica, Tome 25 (2021) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2021_25_2_a1/