Palindromic automorphisms of free nilpotent groups

Standard

Palindromic automorphisms of free nilpotent groups. / Bardakov, Valeriy G.; Gongopadhyay, Krishnendu; Neshchadim, Mikhail V. et al.

In: Journal of Pure and Applied Algebra, Vol. 221, No. 2, 01.02.2017, p. 316-338.

Research output: Contribution to journal › Article › peer-review

Harvard

Bardakov, VG, Gongopadhyay, K, Neshchadim, MV & Singh, M 2017, 'Palindromic automorphisms of free nilpotent groups', Journal of Pure and Applied Algebra, vol. 221, no. 2, pp. 316-338. https://doi.org/10.1016/j.jpaa.2016.06.011

APA

Bardakov, V. G., Gongopadhyay, K., Neshchadim, M. V., & Singh, M. (2017). Palindromic automorphisms of free nilpotent groups. Journal of Pure and Applied Algebra, 221(2), 316-338. https://doi.org/10.1016/j.jpaa.2016.06.011

Vancouver

Bardakov VG, Gongopadhyay K, Neshchadim MV, Singh M. Palindromic automorphisms of free nilpotent groups. Journal of Pure and Applied Algebra. 2017 Feb 1;221(2):316-338. doi: 10.1016/j.jpaa.2016.06.011

Author

Bardakov, Valeriy G. ; Gongopadhyay, Krishnendu ; Neshchadim, Mikhail V. et al. / Palindromic automorphisms of free nilpotent groups. In: Journal of Pure and Applied Algebra. 2017 ; Vol. 221, No. 2. pp. 316-338.

BibTeX

@article{590e9f756d8c4b3385493fd9d0357baa,

title = "Palindromic automorphisms of free nilpotent groups",

abstract = "In this paper, we initiate the study of palindromic automorphisms of groups that are free in some variety. More specifically, we define palindromic automorphisms of free nilpotent groups and show that the set of such automorphisms is a group. We find a generating set for the group of palindromic automorphisms of free nilpotent groups of step 2 and 3. In particular, we obtain a generating set for the group of central palindromic automorphisms of these groups. In the end, we determine central palindromic automorphisms of free nilpotent groups of step 3 which satisfy the necessary condition of Bryant–Gupta–Levin–Mochizuki for a central automorphism to be tame.",

author = "Bardakov, {Valeriy G.} and Krishnendu Gongopadhyay and Neshchadim, {Mikhail V.} and Mahender Singh",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier B.V.",

year = "2017",

month = feb,

day = "1",

doi = "10.1016/j.jpaa.2016.06.011",

language = "English",

volume = "221",

pages = "316--338",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier",

number = "2",

}

RIS

TY - JOUR

T1 - Palindromic automorphisms of free nilpotent groups

AU - Bardakov, Valeriy G.

AU - Gongopadhyay, Krishnendu

AU - Neshchadim, Mikhail V.

AU - Singh, Mahender

PY - 2017/2/1

Y1 - 2017/2/1

N2 - In this paper, we initiate the study of palindromic automorphisms of groups that are free in some variety. More specifically, we define palindromic automorphisms of free nilpotent groups and show that the set of such automorphisms is a group. We find a generating set for the group of palindromic automorphisms of free nilpotent groups of step 2 and 3. In particular, we obtain a generating set for the group of central palindromic automorphisms of these groups. In the end, we determine central palindromic automorphisms of free nilpotent groups of step 3 which satisfy the necessary condition of Bryant–Gupta–Levin–Mochizuki for a central automorphism to be tame.

AB - In this paper, we initiate the study of palindromic automorphisms of groups that are free in some variety. More specifically, we define palindromic automorphisms of free nilpotent groups and show that the set of such automorphisms is a group. We find a generating set for the group of palindromic automorphisms of free nilpotent groups of step 2 and 3. In particular, we obtain a generating set for the group of central palindromic automorphisms of these groups. In the end, we determine central palindromic automorphisms of free nilpotent groups of step 3 which satisfy the necessary condition of Bryant–Gupta–Levin–Mochizuki for a central automorphism to be tame.

UR - http://www.scopus.com/inward/record.url?scp=84994851790&partnerID=8YFLogxK

U2 - 10.1016/j.jpaa.2016.06.011

DO - 10.1016/j.jpaa.2016.06.011

M3 - Article

AN - SCOPUS:84994851790

VL - 221

SP - 316

EP - 338

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

SN - 0022-4049

IS - 2

ER -

ID: 9033567