Partition numbers of finite solvable groups
A group partition is a group cover in which the elements have trivial pairwise intersection. Here we define the partition number of a group - the minimal number of subgroups necessary to form a partition - and examine some of its properties, including its relation to the covering number for solvable...
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2018-12-01
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| Series: | Advances in Group Theory and Applications |
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| Online Access: | http://www.advgrouptheory.com/journal/Volumes/6/Foguel,%20Sizemore%20-%20Partition%20numbers%20of%20finite%20solvable%20groups.pdf |
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doaj-a91ee8fd2081483b8558fed7ef01e0da2020-11-25T00:40:26ZengAracneAdvances in Group Theory and Applications2499-12872499-12872018-12-016556710.32037/AGTA-2018-004Partition numbers of finite solvable groupsTuval Foguel0Nick Sizemore1Adelphi UniversityUniversity of FloridaA group partition is a group cover in which the elements have trivial pairwise intersection. Here we define the partition number of a group - the minimal number of subgroups necessary to form a partition - and examine some of its properties, including its relation to the covering number for solvable groups.http://www.advgrouptheory.com/journal/Volumes/6/Foguel,%20Sizemore%20-%20Partition%20numbers%20of%20finite%20solvable%20groups.pdfdihedral groupcovering of groupspartition of groupspartition of vector spaces |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Tuval Foguel Nick Sizemore |
| spellingShingle |
Tuval Foguel Nick Sizemore Partition numbers of finite solvable groups Advances in Group Theory and Applications dihedral group covering of groups partition of groups partition of vector spaces |
| author_facet |
Tuval Foguel Nick Sizemore |
| author_sort |
Tuval Foguel |
| title |
Partition numbers of finite solvable groups |
| title_short |
Partition numbers of finite solvable groups |
| title_full |
Partition numbers of finite solvable groups |
| title_fullStr |
Partition numbers of finite solvable groups |
| title_full_unstemmed |
Partition numbers of finite solvable groups |
| title_sort |
partition numbers of finite solvable groups |
| publisher |
Aracne |
| series |
Advances in Group Theory and Applications |
| issn |
2499-1287 2499-1287 |
| publishDate |
2018-12-01 |
| description |
A group partition is a group cover in which the elements have trivial pairwise intersection. Here we define the partition number of a group - the minimal number of subgroups necessary to form a partition - and examine some of its properties, including its relation to the covering number for solvable groups. |
| topic |
dihedral group covering of groups partition of groups partition of vector spaces |
| url |
http://www.advgrouptheory.com/journal/Volumes/6/Foguel,%20Sizemore%20-%20Partition%20numbers%20of%20finite%20solvable%20groups.pdf |
| work_keys_str_mv |
AT tuvalfoguel partitionnumbersoffinitesolvablegroups AT nicksizemore partitionnumbersoffinitesolvablegroups |
| _version_ |
1725290248618901504 |