ON A GENERALIZATION OF THE INNER MAPPING GROUP
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CEP USM
Abstract
We consider the group GM(Q,·), generated by all left, rightand middle translations of a loop (Q,·). The generalized innermapping groupJ consists of all mappingsα∈GM(Q,·), such that α(e) =e, wheree is the unit of (Q,·). In the present note we give a set of mappings which generates the groupJ.
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SYRBU, P. On a generalization of the inner mapping group. In : The Fourth Conference of Mathematical Society of the Republic of Moldova dedicated to the centenary of V. Andrunachievici (1917-1997): Proceeding CMSM4, June28-July2, 2017. Ch.: CEP USM, 2017, pp. 161-164. ISBN 978-9975-71-915-5.