### 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 contribution | AUTOMORPHISMS OF A REMOTELY REGULAR GRAPH WITH AN INTERSECTION ARRAY |
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Original language | Russian |

Pages (from-to) | 493-500 |

Number of pages | 8 |

Journal | Siberian Electronic Mathematical Reports |

Volume | 16 |

DOIs | |

Publication status | Published - 2019 |

### Keywords

- strongly regular graph
- distance-regular graph
- automorphism

### WoS ResearchAreas Categories

- Mathematics

### Cite this

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

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

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=000465436800001

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 -