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On finite groups whose 2-Sylow subgroups have cyclic subgroups of index 2
| Content Provider | Scilit |
|---|---|
| Author | Wong, W. J. |
| Copyright Year | 1964 |
| Description | If the finite group G has a 2-Sylow subgroup S of order $2^{a+1}$, containing a cyclic subgroup of index 2, then in general S may be one of the following six types [8]:(i) cyclic; (ii) Abelian of type (a, 1), a > 1; (iii) $dihedral^{1}$; (iv) generalized quaternion; (v) {α, β}, $α^{2}$a = $β^{2}$, $α^{2}$a−1+1, a ≧ 3;(vi) {α, β}, $α^{2}$a = $β^{2}$, $α^{2}$a−1+1, a ≧ 3. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/0E43F9D910A926A60F97F503D5D7D938/S1446788700022771a.pdf/div-class-title-on-finite-groups-whose-2-sylow-subgroups-have-cyclic-subgroups-of-index-2-a-href-fn01-ref-type-fn-a-div.pdf |
| ISSN | 00049735 |
| DOI | 10.1017/s1446788700022771 |
| Journal | Journal of the Australian Mathematical Society |
| Issue Number | 1 |
| Volume Number | 4 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1964-02-01 |
| Access Restriction | Open |
| Subject Keyword | Journal of the Australian Mathematical Society Finite Group Sylow Subgroups Cyclic Subgroups |
| Content Type | Text |
| Resource Type | Article |
