Mathematics and Statistics Vol. 2(6), pp. 214 - 218
DOI: 10.13189/ms.2014.020603
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On the p-Maps of Groups

Swapnil Srivastava ¹, Punish Kumar ^2,*
1 Department of Mathematics & Statistics, SHIATS, Allahabad, U.P., India
² Department of Mathematics, TMU, Moradabad, U.P., India

ABSTRACT

In this paper, we have defined the concept of p-map and studied some properties of p-map. By using this map, we have shown that p(G) is a subgroup of G and S = {x : p(x) = e} is a right transversal (with identity) of p(G) in G which becomes group by using p-map and some more conditions. Finally, we have shown that G be an extension of p(G).

KEYWORDS
p-maps, Right Transversal, Right Loop, Group

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Swapnil Srivastava , Punish Kumar , "On the p-Maps of Groups," Mathematics and Statistics, Vol. 2, No. 6, pp. 214 - 218, 2014. DOI: 10.13189/ms.2014.020603.

(b). APA Format:
Swapnil Srivastava , Punish Kumar (2014). On the p-Maps of Groups. Mathematics and Statistics, 2(6), 214 - 218. DOI: 10.13189/ms.2014.020603.