On finite loops whose inner mapping groups are Abelian
نویسندگان
چکیده
منابع مشابه
On finite loops whose inner mapping groups have small orders
We investigate the situation that the inner mapping group of a loop is of order which is a product of two small prime numbers and we show that then the loop is soluble.
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In this paper we consider finite loops of specific order and we show that certain abelian groups are not isomorphic to inner mapping groups of these loops. By using our results we are able to construct a finite solvable group of order 120 which is not isomorphic to the multiplication group of a finite loop.
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 2002
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700020529