Extension of Groups Using \( \tilde{p} \)-maps

  • Swapnil Srivastava
  • Punish KumarEmail author
Short Communication


In the present paper, by using a map namely, \( \tilde{p} \)-map on a group G, we have given a right loop \( T = \left\{ {\tilde{p}(g):g \in G} \right\} \) for a fixed subgroup \( K = \left\{ {g:\tilde{p}(g) = e} \right\} \) of G. This T becomes a group under some certain conditions. (T, K, \( \sigma \), f), is a c-groupoid. There is a group extension G of group K with T as right transversal to K in G such that (T, K, \( \sigma \), f) is c-groupoid associated with the extension G.


\( \tilde{p} \)-map Right transversal Right loop c-groupoid Group 



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Copyright information

© The National Academy of Sciences, India 2019

Authors and Affiliations

  1. 1.Department of MathematicsECCAllahabadIndia
  2. 2.Government Polytechnic, ShahbadRampurIndia

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