The SQ-universality of some finitely presented groups
1973 ◽
Vol 16
(1)
◽
pp. 1-6
◽
Keyword(s):
Rank 2
◽
Following a suggestion of G. Higman we say that the group G is SQ-universal if every countable group is embeddable in some factor group of G. It is a well-known theorem of G. Higman, B. H. Neumann and Hanna Neumann that the free group of rank 2 is sq-universal in this sense. Several different proofs are now available (see, for example, [1] or [9]). It is my intention to prove the LEmma. If H is a subgroup of finite index in a group G, then G is SQ-universal if and only if H is SQ-universal.
1991 ◽
Vol 01
(03)
◽
pp. 339-351
Keyword(s):
2013 ◽
Vol 156
(1)
◽
pp. 115-121
2005 ◽
Vol 15
(05n06)
◽
pp. 1075-1084
◽
Keyword(s):
1986 ◽
Vol 29
(2)
◽
pp. 263-269
1975 ◽
Vol 53
(1)
◽
pp. 32-32
◽
1991 ◽
Vol 12
(4-5)
◽
pp. 427-438
◽