Geometric characterization of the sporadic groups Fi22, Fi23, and Fi24
Let Σ1, …, Σ4 be the 3-transposition graphs for Fischer's sporadic groups Fi21, …, Fi24. We classify connected locally Σi graphs gQ = gQi+1 for i = 1, 2, 3. In the minimal case i = 1 we also assume that for every nondegenerate 4-circuit abcd the subgraph Θ(a, b, c, d) is isomorphic to the disjo...
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| Format: | Journal Article |
| Language: | English |
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2013
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| Online Access: | https://hdl.handle.net/10356/87920 http://hdl.handle.net/10220/9439 |
| _version_ | 1811681326142586880 |
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| author | Pasechnik, Dmitrii V. |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Pasechnik, Dmitrii V. |
| author_sort | Pasechnik, Dmitrii V. |
| collection | NTU |
| description | Let Σ1, …, Σ4 be the 3-transposition graphs for Fischer's sporadic groups Fi21, …, Fi24. We classify connected locally Σi graphs gQ = gQi+1 for i = 1, 2, 3. In the minimal case i = 1 we also assume that for every nondegenerate 4-circuit abcd the subgraph Θ(a, b, c, d) is isomorphic to the disjoint union of three copies of K3,3. If i = 1, 2 then Θ is isomorphic to Σi+1, whereas if i = 3 then Θ is isomorphic either to Σ4 or to its 3-fold antipodal cover 3Σ4. |
| first_indexed | 2024-10-01T03:39:10Z |
| format | Journal Article |
| id | ntu-10356/87920 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:39:10Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/879202023-02-28T19:23:56Z Geometric characterization of the sporadic groups Fi22, Fi23, and Fi24 Pasechnik, Dmitrii V. School of Physical and Mathematical Sciences Let Σ1, …, Σ4 be the 3-transposition graphs for Fischer's sporadic groups Fi21, …, Fi24. We classify connected locally Σi graphs gQ = gQi+1 for i = 1, 2, 3. In the minimal case i = 1 we also assume that for every nondegenerate 4-circuit abcd the subgraph Θ(a, b, c, d) is isomorphic to the disjoint union of three copies of K3,3. If i = 1, 2 then Θ is isomorphic to Σi+1, whereas if i = 3 then Θ is isomorphic either to Σ4 or to its 3-fold antipodal cover 3Σ4. Accepted version 2013-04-03T07:59:21Z 2019-12-06T16:52:08Z 2013-04-03T07:59:21Z 2019-12-06T16:52:08Z 1994 1994 Journal Article Pasechnik, D. V. (1994). Geometric characterization of the sporadic groups Fi22, Fi23, and Fi24. Journal of Combinatorial Theory, Series A, 68(1), 100-114. 0097-3165 https://hdl.handle.net/10356/87920 http://hdl.handle.net/10220/9439 10.1016/0097-3165(94)90093-0 en Journal of combinatorial theory, series A © 1994 Academic Press, Inc. This is the author created version of a work that has been peer reviewed and accepted for publication by Journal of Combinatorial Theory, Series A, Academic Press, Inc. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1016/0097-3165(94)90093-0]. application/pdf |
| spellingShingle | Pasechnik, Dmitrii V. Geometric characterization of the sporadic groups Fi22, Fi23, and Fi24 |
| title | Geometric characterization of the sporadic groups Fi22, Fi23, and Fi24 |
| title_full | Geometric characterization of the sporadic groups Fi22, Fi23, and Fi24 |
| title_fullStr | Geometric characterization of the sporadic groups Fi22, Fi23, and Fi24 |
| title_full_unstemmed | Geometric characterization of the sporadic groups Fi22, Fi23, and Fi24 |
| title_short | Geometric characterization of the sporadic groups Fi22, Fi23, and Fi24 |
| title_sort | geometric characterization of the sporadic groups fi22 fi23 and fi24 |
| url | https://hdl.handle.net/10356/87920 http://hdl.handle.net/10220/9439 |
| work_keys_str_mv | AT pasechnikdmitriiv geometriccharacterizationofthesporadicgroupsfi22fi23andfi24 |