TY - JOUR
T1 - Profinite groups with linear subgroup growth
AU - Shalev, Aner
PY - 2006
Y1 - 2006
N2 - We show that profinite groups with linear subgroup growth have a prosoluble open subgroup, while profinite groups with faster subgroup growth need not have this property. Our proofs involve some number theory and the structure of finite simple groups. profinite groups, subgroup growth, finite simple groups.
AB - We show that profinite groups with linear subgroup growth have a prosoluble open subgroup, while profinite groups with faster subgroup growth need not have this property. Our proofs involve some number theory and the structure of finite simple groups. profinite groups, subgroup growth, finite simple groups.
UR - http://www.scopus.com/inward/record.url?scp=33846175006&partnerID=8YFLogxK
U2 - 10.5486/pmd.2006.3593
DO - 10.5486/pmd.2006.3593
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AN - SCOPUS:33846175006
SN - 0033-3883
VL - 69
SP - 379
EP - 386
JO - Publicationes Mathematicae Debrecen
JF - Publicationes Mathematicae Debrecen
IS - 3
ER -