Generation of Finite Groups and Maximal Subgroup Growth
Let G be a finite group and, for n 2 N, denote by m_n(G) the number of maximal subgroups of G with index n. Let M(G) = sup_{n>2} log m_n(G)/log n and let E_1(G) be the expected number of elements of G which have to be drawn at random, with replacement, before a set of generators is found....
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Aracne
2020-06-01
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| Series: | Advances in Group Theory and Applications |
| Subjects: | |
| Online Access: | http://www.advgrouptheory.com/journal/Volumes/9/LucchiniMoscatiello.pdf |