TY - JOUR
T1 - On the number of subgroups in finite solvable groups
AU - Herzog, Marcel
AU - Manz, Olaf
N1 - Funding Information:
The authors would like to thank the Deutsche Forschungsgemeinschaft and the Universities of Milano and Tel Aviv for their generous support. © 1995 Australian Mathematical Society 0263-6115/95 $A2.00 + 0.00
PY - 1995
Y1 - 1995
N2 - The main result of this paper is an upper bound for the number of maximal subgroups in finite solvable groups. Our result improves an earlier one of Cook, Wiegold and Williamson [1]. At the end, we use our bound to deduce an estimation for the total number of subgroups in finite solvable groups.
AB - The main result of this paper is an upper bound for the number of maximal subgroups in finite solvable groups. Our result improves an earlier one of Cook, Wiegold and Williamson [1]. At the end, we use our bound to deduce an estimation for the total number of subgroups in finite solvable groups.
UR - http://www.scopus.com/inward/record.url?scp=84974336665&partnerID=8YFLogxK
U2 - 10.1017/S1446788700038155
DO - 10.1017/S1446788700038155
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AN - SCOPUS:84974336665
SN - 1446-7887
VL - 58
SP - 134
EP - 141
JO - Journal of the Australian Mathematical Society
JF - Journal of the Australian Mathematical Society
IS - 1
ER -