FINITELY GENERATED GROUPS (MOD P)

Authors
Citation
Mr. Murty, FINITELY GENERATED GROUPS (MOD P), Proceedings of the American Mathematical Society, 122(1), 1994, pp. 37-45
Citations number
15
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
00029939
Volume
122
Issue
1
Year of publication
1994
Pages
37 - 45
Database
ISI
SICI code
0002-9939(1994)122:1<37:FGG(P>2.0.ZU;2-X
Abstract
Given r mutually coprime natural numbers a1, . . . , a(r) greater than 1 and an irreducible polynomial f(t) with integer coefficients, we in vestigate how the structure of the group generated by a1, . . . , a(r) mod p varies as the prime p varies subject to the condition that f (t ) splits completely mod p.