Embedding theorems for multiplicative systems and projective geometries

Author:
Trevor Evans

Journal:
Proc. Amer. Math. Soc. **3** (1952), 614-620

MSC:
Primary 09.1X

DOI:
https://doi.org/10.1090/S0002-9939-1952-0050566-9

MathSciNet review:
0050566

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References | Similar Articles | Additional Information

**[1]**Reinhold Baer,*The homomorphism theorems for loops*, Amer. J. Math. vol. 67 (1945) pp. 450-460. MR**0012302 (7:7c)****[2]**Grace E. Bates,*Free loops and nets and their generalizations*, Amer. J. Math., vol. 69 (1947) pp. 499-550. MR**0021001 (9:8b)****[3]**Trevor Evans,*On multiplicative systems defined by generators and relations*. I.*Normal form theorems*, Proc. Cambridge Philos. Soc. vol. 47 (1951) pp. 637-649. MR**0043764 (13:312g)****[4]**Marshall Hall,*Projective planes*, Trans. Amer. Math. Soc. vol. 54 (1943) pp. 229-277. MR**0008892 (5:72c)****[5]**Graham Higman, B. H. Neumann, and Hanna Neumann,*Embedding theorems for groups*, J. London Math. Soc. vol. 24 (1949) pp. 247-254. MR**0032641 (11:322d)****[6]**A. I. Zukov,*Reduced systems of defining relations in non-associative algebras*, Mat. Sbornik. N.S. vol. 27 (1950) pp. 267-280. MR**0037831 (12:314d)**

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DOI:
https://doi.org/10.1090/S0002-9939-1952-0050566-9

Article copyright:
© Copyright 1952
American Mathematical Society