# Modular representations of finite groups with trivial restriction to Sylow subgroups

Journal of the European Mathematical Society (2013)

- Volume: 015, Issue: 6, page 2061-2079
- ISSN: 1435-9855

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topBalmer, Paul. "Modular representations of finite groups with trivial restriction to Sylow subgroups." Journal of the European Mathematical Society 015.6 (2013): 2061-2079. <http://eudml.org/doc/277548>.

@article{Balmer2013,

abstract = {Let $k$ be a field of characteristic $p$. Let $G$ be a finite group of order divisible by $p$ and $P$ a $p$-Sylow subgroup of $G$. We describe the kernel of the restriction homomorphism $T(G)\rightarrow T(P)$, for $T(−)$ the group of endotrivial representations. Our description involves functions $G\rightarrow k^\times $ that we call weak $P$-homomorphisms. These are generalizations to possibly non-normal $P\le G$ of the classical homomorphisms $G/P\rightarrow k^\times $ appearing in the normal case.},

author = {Balmer, Paul},

journal = {Journal of the European Mathematical Society},

keywords = {endotrivial module; trivial restriction to Sylow; weak homomorphism; finite groups; Sylow subgroups; stable categories; finite groups; Sylow subgroups; groups of endotrivial modules; weak homomorphisms; stable categories},

language = {eng},

number = {6},

pages = {2061-2079},

publisher = {European Mathematical Society Publishing House},

title = {Modular representations of finite groups with trivial restriction to Sylow subgroups},

url = {http://eudml.org/doc/277548},

volume = {015},

year = {2013},

}

TY - JOUR

AU - Balmer, Paul

TI - Modular representations of finite groups with trivial restriction to Sylow subgroups

JO - Journal of the European Mathematical Society

PY - 2013

PB - European Mathematical Society Publishing House

VL - 015

IS - 6

SP - 2061

EP - 2079

AB - Let $k$ be a field of characteristic $p$. Let $G$ be a finite group of order divisible by $p$ and $P$ a $p$-Sylow subgroup of $G$. We describe the kernel of the restriction homomorphism $T(G)\rightarrow T(P)$, for $T(−)$ the group of endotrivial representations. Our description involves functions $G\rightarrow k^\times $ that we call weak $P$-homomorphisms. These are generalizations to possibly non-normal $P\le G$ of the classical homomorphisms $G/P\rightarrow k^\times $ appearing in the normal case.

LA - eng

KW - endotrivial module; trivial restriction to Sylow; weak homomorphism; finite groups; Sylow subgroups; stable categories; finite groups; Sylow subgroups; groups of endotrivial modules; weak homomorphisms; stable categories

UR - http://eudml.org/doc/277548

ER -

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