On <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>p</mml:mi></mml:math>-embedding problems in characteristic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" display="inline" overflow="scroll"><mml:mi>p</mml:mi></mml:math>

Bary-Soroker, Lior; Tân, Nguyêñ Duy

doi:10.1016/j.jpaa.2011.02.012

Journal of Pure and Applied Algebra

2011

DOI: 10.1016/j.jpaa.2011.02.012

|View full text |Cite

On p-embedding problems in characteristic p

Lior Bary-Soroker

Nguyêñ Duy Tân

Abstract: a b s t r a c tLet K be a valued field of characteristic p > 0 with non-p-divisible value group. We show that every finite embedding problem for K whose kernel is a p-group is properly solvable.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2013

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Embedding problems with local conditions and the admissibility of finite groups

Tân

2013

Isr. J. Math.

View full text Add to dashboard Cite

Abstract. Let k be a field of characteristic p > 0, which has infinitely many discrete valuations. We show that every finite embedding problem for Gal(k) with finitely many prescribed local conditions, whose kernel is a p-group, is properly solvable. We then apply this result in studying the admissibility of finite groups over global fields of positive characteristic. We also give another proof for a result of Sonn.

show abstract

Embedding problems with local conditions and the admissibility of finite groups

Tân

2013

Isr. J. Math.

View full text Add to dashboard Cite

show abstract

On the essential dimension of unipotent algebraic groups

Tân

2013

Journal of Pure and Applied Algebra

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

On p-embedding problems in characteristic p

Abstract: a b s t r a c tLet K be a valued field of characteristic p > 0 with non-p-divisible value group. We show that every finite embedding problem for K whose kernel is a p-group is properly solvable.

Cited by 2 publications

References 12 publications

Embedding problems with local conditions and the admissibility of finite groups

Embedding problems with local conditions and the admissibility of finite groups

On the essential dimension of unipotent algebraic groups

Contact Info

Product

Resources

About