Moufang Loops of Odd order $$p^4q^3$$ p 4 q 3
نویسندگان
چکیده
منابع مشابه
Moufang Loops of Odd Order p 21 p 2 2 · · · p 2 n q 3
It has been shown that for distinct odd primes p1, p2, . . . , pn and q, all Moufang loops of order p1p2 · · · pnq are groups if and only if q is not congruent to 1 modulo pi for each i. In this paper, we extend that result to include Moufang loops of order p1p 2 2 · · · pnq. Mathematics Subject Classification: 20N05
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We show how to obtain all nonassociative Moufang loops of order less than 64 and 4262 nonassociative Moufang loops of order 64 in a unified way. We conjecture that there are no other nonassociative Moufang loops of order 64. The main idea of the computer search is to modify precisely one quarter of the multiplication table in a certain way, previously applied to small
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ژورنال
عنوان ژورنال: Bulletin of the Malaysian Mathematical Sciences Society
سال: 2017
ISSN: 0126-6705,2180-4206
DOI: 10.1007/s40840-017-0471-2