On the Growth Sequences of PSp_2m, q
Year
: 2007
Abstract: The aim of this paper is to give a lower bound for h(2,PSp (2m, q)),
for all 2 ≤ m ≤ 5 , m ≥ 10 and q ≥ 2, where h(2,G) is the maximum
number such that G
h(2,G) can be generated by 2 elements. Furthermore,
we consider a problem which was conjectured by J.Wiegold and the first
author in 1996, which says that h(2,G)2 > |G| for all finite non-abelian
simple groups. We confirm the conjecture for the projective symplectic
simple groups PSp (2m, q) at the end.
for all 2 ≤ m ≤ 5 , m ≥ 10 and q ≥ 2, where h(2,G) is the maximum
number such that G
h(2,G) can be generated by 2 elements. Furthermore,
we consider a problem which was conjectured by J.Wiegold and the first
author in 1996, which says that h(2,G)2 > |G| for all finite non-abelian
simple groups. We confirm the conjecture for the projective symplectic
simple groups PSp (2m, q) at the end.
Keyword(s): Minimum number of generators,maximal subgroups,simple
groups,projective symplectic linear groups
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On the Growth Sequences of PSp_2m, q
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| contributor author | احمد عرفانیان مشیری نژاد | en |
| contributor author | رشيد رضايي | en |
| contributor author | Ahmad Erfanian | fa |
| date accessioned | 2020-06-06T13:12:14Z | |
| date available | 2020-06-06T13:12:14Z | |
| date issued | 2007 | |
| identifier uri | https://libsearch.um.ac.ir:443/fum/handle/fum/3345738?locale-attribute=en | |
| description abstract | The aim of this paper is to give a lower bound for h(2,PSp (2m, q)), for all 2 ≤ m ≤ 5 , m ≥ 10 and q ≥ 2, where h(2,G) is the maximum number such that G h(2,G) can be generated by 2 elements. Furthermore, we consider a problem which was conjectured by J.Wiegold and the first author in 1996, which says that h(2,G)2 > |G| for all finite non-abelian simple groups. We confirm the conjecture for the projective symplectic simple groups PSp (2m, q) at the end. | en |
| language | English | |
| title | On the Growth Sequences of PSp_2m, q | en |
| type | Journal Paper | |
| contenttype | External Fulltext | |
| subject keywords | Minimum number of generators | en |
| subject keywords | maximal subgroups | en |
| subject keywords | simple groups | en |
| subject keywords | projective symplectic linear groups | en |
| journal title | International Journal of Algebra | en |
| journal title | International Journal of Algebra | fa |
| pages | 51-62 | |
| journal volume | 1 | |
| journal issue | 2 | |
| identifier link | https://profdoc.um.ac.ir/paper-abstract-417.html | |
| identifier articleid | 417 |