ON A GENERALIZATION OF THE INNER MAPPING GROUP
Date
2017
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
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.
Description
Keywords
loop, generalized multiplication group, inner mapping, inner mapping group
Citation
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.