AUTOMORPHISMS OF A REMOTELY REGULAR GRAPH WITH AN INTERSECTION ARRAY

Research output: Contribution to journalArticleResearchpeer-review

Abstract

Prime divisors of orders of automorphisms and the fixed point subgraphs of automorphisms of prime orders are studied for a hypothetical distance- regular graph with intersection array {30, 27, 24; 1, 2, 10g. Let G = Aut(Gamma) is nonsolvable group, (G) over bar = G/S(G) and (T) over bar is the socle of (G) over bar. If Gamma is vertex- symmetric then (G) is {2g} - group, and (T) over bar congruent to L-2 (11), M-11, U-5 (2), M-22, A(11), HiS.

Translated title of the contributionAUTOMORPHISMS OF A REMOTELY REGULAR GRAPH WITH AN INTERSECTION ARRAY
Original languageRussian
Pages (from-to)493-500
Number of pages8
JournalSiberian Electronic Mathematical Reports
Volume16
DOIs
Publication statusPublished - 2019

Keywords

  • strongly regular graph
  • distance-regular graph
  • automorphism

WoS ResearchAreas Categories

  • Mathematics

Cite this

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title = "AUTOMORPHISMS OF A REMOTELY REGULAR GRAPH WITH AN INTERSECTION ARRAY",
abstract = "Prime divisors of orders of automorphisms and the fixed point subgraphs of automorphisms of prime orders are studied for a hypothetical distance- regular graph with intersection array {30, 27, 24; 1, 2, 10g. Let G = Aut(Gamma) is nonsolvable group, (G) over bar = G/S(G) and (T) over bar is the socle of (G) over bar. If Gamma is vertex- symmetric then (G) is {2g} - group, and (T) over bar congruent to L-2 (11), M-11, U-5 (2), M-22, A(11), HiS.",
keywords = "strongly regular graph, distance-regular graph, automorphism",
author = "Makhnev, {Alexandr Alekseevich} and Belousova, {Veronika Igorevna}",
year = "2019",
doi = "10.33048/semi.2019.16.031",
language = "Русский",
volume = "16",
pages = "493--500",
journal = "Siberian Electronic Mathematical Reports",
issn = "1813-3304",
publisher = "Институт математики им. С.Л. Соболева Сибирского отделения Российской академии наук",

}

AUTOMORPHISMS OF A REMOTELY REGULAR GRAPH WITH AN INTERSECTION ARRAY. / Makhnev, Alexandr Alekseevich; Belousova, Veronika Igorevna.

In: Siberian Electronic Mathematical Reports, Vol. 16, 2019, p. 493-500.

Research output: Contribution to journalArticleResearchpeer-review

TY - JOUR

T1 - AUTOMORPHISMS OF A REMOTELY REGULAR GRAPH WITH AN INTERSECTION ARRAY

AU - Makhnev, Alexandr Alekseevich

AU - Belousova, Veronika Igorevna

PY - 2019

Y1 - 2019

N2 - Prime divisors of orders of automorphisms and the fixed point subgraphs of automorphisms of prime orders are studied for a hypothetical distance- regular graph with intersection array {30, 27, 24; 1, 2, 10g. Let G = Aut(Gamma) is nonsolvable group, (G) over bar = G/S(G) and (T) over bar is the socle of (G) over bar. If Gamma is vertex- symmetric then (G) is {2g} - group, and (T) over bar congruent to L-2 (11), M-11, U-5 (2), M-22, A(11), HiS.

AB - Prime divisors of orders of automorphisms and the fixed point subgraphs of automorphisms of prime orders are studied for a hypothetical distance- regular graph with intersection array {30, 27, 24; 1, 2, 10g. Let G = Aut(Gamma) is nonsolvable group, (G) over bar = G/S(G) and (T) over bar is the socle of (G) over bar. If Gamma is vertex- symmetric then (G) is {2g} - group, and (T) over bar congruent to L-2 (11), M-11, U-5 (2), M-22, A(11), HiS.

KW - strongly regular graph

KW - distance-regular graph

KW - automorphism

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U2 - 10.33048/semi.2019.16.031

DO - 10.33048/semi.2019.16.031

M3 - Статья

VL - 16

SP - 493

EP - 500

JO - Siberian Electronic Mathematical Reports

JF - Siberian Electronic Mathematical Reports

SN - 1813-3304

ER -