Character induction in p-groups
Let G be a finite p-group and let χ be an irreducible character of G. Then χ is monomial; that is, χ=λG, where λ is a linear character of some subgroup of G. We are interested in locating subgroups of G which induce the character χ.
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| Format: | Article |
| Language: | English |
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Wiley
1986-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171286000741 |
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| _version_ | 1832545806526185472 |
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| author | Teresa L. Santa Coloma |
| author_facet | Teresa L. Santa Coloma |
| author_sort | Teresa L. Santa Coloma |
| collection | DOAJ |
| description | Let G be a finite p-group and let χ be an irreducible character of G. Then χ is monomial; that is, χ=λG, where λ is a linear character of some subgroup of G. We are interested in locating subgroups of G which induce the character χ. |
| format | Article |
| id | doaj-art-b766c6bb985b44f583ee6e4281dfe336 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1986-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b766c6bb985b44f583ee6e4281dfe3362025-02-03T07:24:43ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251986-01-019358959610.1155/S0161171286000741Character induction in p-groupsTeresa L. Santa Coloma0Department of Mathematical Sciences, Loyola University, New Orleans 70118, LA, USALet G be a finite p-group and let χ be an irreducible character of G. Then χ is monomial; that is, χ=λG, where λ is a linear character of some subgroup of G. We are interested in locating subgroups of G which induce the character χ.http://dx.doi.org/10.1155/S0161171286000741induced charactersupport groupinertia group. |
| spellingShingle | Teresa L. Santa Coloma Character induction in p-groups International Journal of Mathematics and Mathematical Sciences induced character support group inertia group. |
| title | Character induction in p-groups |
| title_full | Character induction in p-groups |
| title_fullStr | Character induction in p-groups |
| title_full_unstemmed | Character induction in p-groups |
| title_short | Character induction in p-groups |
| title_sort | character induction in p groups |
| topic | induced character support group inertia group. |
| url | http://dx.doi.org/10.1155/S0161171286000741 |
| work_keys_str_mv | AT teresalsantacoloma characterinductioninpgroups |