### Abstract

Let double struck F sign be an algebraically closed field of characteristic p and H be an almost simple group or a central extension of an almost simple group. An important problem in representation theory is to classify the subgroups G of H and double struck F signH-modules V such that the restriction V↓ _{G} is irreducible. For example, this problem is a natural part of the program of describing maximal subgroups in finite classical groups. In this paper we investigate the case of the problem where H is the Schur's double cover Â _{n} or Ŝ _{n}.

Original language | English (US) |
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Pages (from-to) | 1971-1999 |

Number of pages | 29 |

Journal | Transactions of the American Mathematical Society |

Volume | 356 |

Issue number | 5 |

DOIs | |

State | Published - May 1 2004 |

### Keywords

- Finite groups
- Representation theory

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

## Fingerprint Dive into the research topics of 'On restrictions of modular spin representations of symmetric and alternating groups'. Together they form a unique fingerprint.

## Cite this

Kleshchev, A. S., & Tiep, P. H. (2004). On restrictions of modular spin representations of symmetric and alternating groups.

*Transactions of the American Mathematical Society*,*356*(5), 1971-1999. https://doi.org/10.1090/S0002-9947-03-03364-6