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Counting the Periodic Groups Generated by Two Finite Groups
Author(s) -
Jeanes S. C.
Publication year - 1980
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/12.2.133
Subject(s) - citation , mathematics , combinatorics , mathematics education , computer science , arithmetic , library science
In [6] Hickin and Phillips prove the existence of 2 non-isomorphic groups of exponent p for each sufficiently large prime p. The proof uses wreath products and embedding methods and relies on the existence of the infinite p-groups of Novikov and Adjan [7]. Phillips [8] had previously proved the existence of 2° non-isomorphic twogenerator p-groups for each prime p. The main theorem of this paper, proved by a completely different method, is a further result of this type.