Non-Isomorphic Burnside Groups of Exponent p 2
Canadian journal of mathematics, Tome 30 (1978) no. 1, pp. 180-189

Voir la notice de l'article provenant de la source Cambridge University Press

In the recent paper [8] Phillips has shown that for each prime p there are 2א0 non-isomorphic 2-generatecl p-groups. This same result was obtained independently by S. Jeanes and J. S, Wilson (unpublished) who show that the groups constructed in [1] have 2א0 non-isomorphic images. The groups in both of these proofs all have infinite exponent. In this paper we show that, for large enough primes p, there are 2א0 non-isomorphic 2-generated groups of exponent p2.
Hickin, K. K.; Phillips, R. E. Non-Isomorphic Burnside Groups of Exponent p 2. Canadian journal of mathematics, Tome 30 (1978) no. 1, pp. 180-189. doi: 10.4153/CJM-1978-017-0
@article{10_4153_CJM_1978_017_0,
     author = {Hickin, K. K. and Phillips, R. E.},
     title = {Non-Isomorphic {Burnside} {Groups} of {Exponent} p 2},
     journal = {Canadian journal of mathematics},
     pages = {180--189},
     year = {1978},
     volume = {30},
     number = {1},
     doi = {10.4153/CJM-1978-017-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1978-017-0/}
}
TY  - JOUR
AU  - Hickin, K. K.
AU  - Phillips, R. E.
TI  - Non-Isomorphic Burnside Groups of Exponent p 2
JO  - Canadian journal of mathematics
PY  - 1978
SP  - 180
EP  - 189
VL  - 30
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1978-017-0/
DO  - 10.4153/CJM-1978-017-0
ID  - 10_4153_CJM_1978_017_0
ER  - 
%0 Journal Article
%A Hickin, K. K.
%A Phillips, R. E.
%T Non-Isomorphic Burnside Groups of Exponent p 2
%J Canadian journal of mathematics
%D 1978
%P 180-189
%V 30
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1978-017-0/
%R 10.4153/CJM-1978-017-0
%F 10_4153_CJM_1978_017_0

[1] 1. Golod, E. S., OK nil-algebras and periodic groups, Izv. Akad. Nauk SSSR Ser. Mat. 28 (1964), 273-276 (Amer. Math. Soc. Translations (2) 48 (1965), 102–106). Google Scholar

[2] 2. Hall, P., On the embedding of a group in a join of given groups, J. Austral. Math. Soc. 17 (1974), 434–495. Google Scholar

[3] 3. Hickin, K., An embedding theorem for periodic groups, J. London Math. Soc. (2) 14 (1976), 63–64. Google Scholar

[4] 4. Kurosh, A. G., Theory of groups, Vol. II (Chelsea, New York 1956). Google Scholar

[5] 5. Neumann, B. H. and Neumann, H., Embedding theorems for groups, J. London Math. Soc. 34 (1959), 465–479. Google Scholar

[6] 6. Neumann, B. H., Groups covered by permutable subsets, J. London Math. Soc. 29 (1954), 236–248. Google Scholar

[7] 7. Novikov, P. S. and Adjan, S. I., Infinite periodic groups, Izv. Akad. Nauk SSSR Ser. Mat. 32 (1968), 212-244, 251-524, 709-731 (Math. USSR Izv. 2 (1968), 209-236, 241-479, 665–685). Google Scholar

[8] 8. Phillips, R. E., Embedding methods for periodic groups, Proc. London Math. Soc. (3) 35 (1977), 238–256. Google Scholar

Cité par Sources :