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On Multiplicative Properties of Families of Complexes of Certain Loops

Published online by Cambridge University Press:  20 November 2018

Meir Steinberger*
Affiliation:
University of Haifa, Haifa, Israel
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It is well-known that if is a quotient group of a group G, then (i) is a partition of G, and (ii) the usual complex product (in the usual sense of multiplication of complexes) of every pair of members of is a member of . There arises the question whether, conversely, (i) and (ii), perhaps in a weaker form, suffice for to be a quotient group of G.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1973

References

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